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<h1>Source code for pyFTS.models.nonstationary.common</h1><div class="highlight"><pre>
<span></span><span class="sd">"""</span>
<span class="sd">Non Stationary Fuzzy Sets</span>
<span class="sd">GARIBALDI, Jonathan M.; JAROSZEWSKI, Marcin; MUSIKASUWAN, Salang. Nonstationary fuzzy sets.</span>
<span class="sd">IEEE Transactions on Fuzzy Systems, v. 16, n. 4, p. 1072-1086, 2008.</span>
<span class="sd">"""</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">pyFTS</span> <span class="kn">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">pyFTS.common</span> <span class="kn">import</span> <span class="n">FuzzySet</span> <span class="k">as</span> <span class="n">FS</span><span class="p">,</span> <span class="n">Membership</span><span class="p">,</span> <span class="n">FLR</span>
<span class="kn">from</span> <span class="nn">pyFTS.partitioners</span> <span class="kn">import</span> <span class="n">partitioner</span>
<span class="kn">from</span> <span class="nn">pyFTS.models.nonstationary</span> <span class="kn">import</span> <span class="n">perturbation</span>
<div class="viewcode-block" id="FuzzySet"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.FuzzySet">[docs]</a><span class="k">class</span> <span class="nc">FuzzySet</span><span class="p">(</span><span class="n">FS</span><span class="o">.</span><span class="n">FuzzySet</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Non Stationary Fuzzy Sets</span>
<span class="sd"> """</span>
<span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">name</span><span class="p">,</span> <span class="n">mf</span><span class="p">,</span> <span class="n">parameters</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Constructor</span>
<span class="sd"> """</span>
<span class="nb">super</span><span class="p">(</span><span class="n">FuzzySet</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="fm">__init__</span><span class="p">(</span><span class="n">name</span><span class="o">=</span><span class="n">name</span><span class="p">,</span> <span class="n">mf</span><span class="o">=</span><span class="n">mf</span><span class="p">,</span> <span class="n">parameters</span><span class="o">=</span><span class="n">parameters</span><span class="p">,</span> <span class="n">centroid</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">location</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">"location"</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
<span class="sd">"""Pertubation function that affects the location of the membership function"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">location_params</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">"location_params"</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
<span class="sd">"""Parameters for location pertubation function"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">location_roots</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">"location_roots"</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">width</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">"width"</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
<span class="sd">"""Pertubation function that affects the width of the membership function"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">width_params</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">"width_params"</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
<span class="sd">"""Parameters for width pertubation function"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">width_roots</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">"width_roots"</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">noise</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">"noise"</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
<span class="sd">"""Pertubation function that adds noise on the membership function"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">noise_params</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">"noise_params"</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
<span class="sd">"""Parameters for noise pertubation function"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">perturbated_parameters</span> <span class="o">=</span> <span class="p">{}</span>
<span class="bp">self</span><span class="o">.</span><span class="n">type</span> <span class="o">=</span> <span class="s1">'nonstationary'</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">location</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span> <span class="ow">and</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">location</span><span class="p">,</span> <span class="p">(</span><span class="nb">list</span><span class="p">,</span> <span class="nb">set</span><span class="p">)):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">location</span> <span class="o">=</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">location</span><span class="p">]</span>
<span class="bp">self</span><span class="o">.</span><span class="n">location_params</span> <span class="o">=</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">location_params</span><span class="p">]</span>
<span class="bp">self</span><span class="o">.</span><span class="n">location_roots</span> <span class="o">=</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">location_roots</span><span class="p">]</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">width</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span> <span class="ow">and</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">width</span><span class="p">,</span> <span class="p">(</span><span class="nb">list</span><span class="p">,</span> <span class="nb">set</span><span class="p">)):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">width</span> <span class="o">=</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">width</span><span class="p">]</span>
<span class="bp">self</span><span class="o">.</span><span class="n">width_params</span> <span class="o">=</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">width_params</span><span class="p">]</span>
<span class="bp">self</span><span class="o">.</span><span class="n">width_roots</span> <span class="o">=</span> <span class="p">[</span><span class="bp">self</span><span class="o">.</span><span class="n">width_roots</span><span class="p">]</span>
<div class="viewcode-block" id="FuzzySet.perform_location"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.FuzzySet.perform_location">[docs]</a> <span class="k">def</span> <span class="nf">perform_location</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t</span><span class="p">,</span> <span class="n">param</span><span class="p">):</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">location</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">inc</span> <span class="o">=</span> <span class="n">t</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">l</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">location</span><span class="p">)</span>
<span class="n">inc</span> <span class="o">=</span> <span class="nb">sum</span><span class="p">([</span><span class="bp">self</span><span class="o">.</span><span class="n">location</span><span class="p">[</span><span class="n">k</span><span class="p">](</span><span class="n">t</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">location_roots</span><span class="p">[</span><span class="n">k</span><span class="p">],</span> <span class="bp">self</span><span class="o">.</span><span class="n">location_params</span><span class="p">[</span><span class="n">k</span><span class="p">])</span> <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">l</span><span class="p">)])</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">gaussmf</span><span class="p">:</span>
<span class="c1"># changes only the mean parameter</span>
<span class="k">return</span> <span class="p">[</span><span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="n">inc</span><span class="p">,</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">sigmf</span><span class="p">:</span>
<span class="c1"># changes only the midpoint parameter</span>
<span class="k">return</span> <span class="p">[</span><span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">inc</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">bellmf</span><span class="p">:</span>
<span class="k">return</span> <span class="p">[</span><span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">param</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">+</span> <span class="n">inc</span><span class="p">]</span>
<span class="k">else</span><span class="p">:</span>
<span class="c1"># translate all parameters</span>
<span class="k">return</span> <span class="p">[</span><span class="n">k</span> <span class="o">+</span> <span class="n">inc</span> <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">param</span><span class="p">]</span></div>
<div class="viewcode-block" id="FuzzySet.perform_width"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.FuzzySet.perform_width">[docs]</a> <span class="k">def</span> <span class="nf">perform_width</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t</span><span class="p">,</span> <span class="n">param</span><span class="p">):</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">width</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">inc</span> <span class="o">=</span> <span class="n">t</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">l</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">width</span><span class="p">)</span>
<span class="n">inc</span> <span class="o">=</span> <span class="nb">sum</span><span class="p">([</span><span class="bp">self</span><span class="o">.</span><span class="n">width</span><span class="p">[</span><span class="n">k</span><span class="p">](</span><span class="n">t</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">width_roots</span><span class="p">[</span><span class="n">k</span><span class="p">],</span> <span class="bp">self</span><span class="o">.</span><span class="n">width_params</span><span class="p">[</span><span class="n">k</span><span class="p">])</span> <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">l</span><span class="p">)])</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">gaussmf</span><span class="p">:</span>
<span class="c1"># changes only the variance parameter</span>
<span class="k">return</span> <span class="p">[</span><span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">inc</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">sigmf</span><span class="p">:</span>
<span class="c1"># changes only the smooth parameter</span>
<span class="k">return</span> <span class="p">[</span><span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="n">inc</span><span class="p">,</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trimf</span><span class="p">:</span>
<span class="n">tmp</span> <span class="o">=</span> <span class="n">inc</span> <span class="o">/</span> <span class="mi">2</span>
<span class="k">return</span> <span class="p">[</span><span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">tmp</span><span class="p">,</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">param</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">+</span> <span class="n">tmp</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trapmf</span><span class="p">:</span>
<span class="n">l</span> <span class="o">=</span> <span class="p">(</span><span class="n">param</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">-</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
<span class="n">rab</span> <span class="o">=</span> <span class="p">(</span><span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="o">/</span> <span class="n">l</span>
<span class="n">rcd</span> <span class="o">=</span> <span class="p">(</span><span class="n">param</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">-</span> <span class="n">param</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span> <span class="o">/</span> <span class="n">l</span>
<span class="k">return</span> <span class="p">[</span><span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">inc</span><span class="p">,</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">inc</span> <span class="o">*</span> <span class="n">rab</span><span class="p">,</span> <span class="n">param</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">+</span> <span class="n">inc</span> <span class="o">*</span> <span class="n">rcd</span><span class="p">,</span> <span class="n">param</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">+</span> <span class="n">inc</span><span class="p">]</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span></div>
<div class="viewcode-block" id="FuzzySet.membership"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.FuzzySet.membership">[docs]</a> <span class="k">def</span> <span class="nf">membership</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Calculate the membership value of a given input</span>
<span class="sd"> :param x: input value</span>
<span class="sd"> :param t: time displacement or perturbation parameters</span>
<span class="sd"> :return: membership value of x at this fuzzy set</span>
<span class="sd"> """</span>
<span class="bp">self</span><span class="o">.</span><span class="n">perturbate_parameters</span><span class="p">(</span><span class="n">t</span><span class="p">)</span>
<span class="n">tmp</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">perturbated_parameters</span><span class="p">[</span><span class="nb">str</span><span class="p">(</span><span class="n">t</span><span class="p">)])</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">noise</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">tmp</span> <span class="o">+=</span> <span class="bp">self</span><span class="o">.</span><span class="n">noise</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">noise_params</span><span class="p">)</span>
<span class="k">return</span> <span class="n">tmp</span></div>
<div class="viewcode-block" id="FuzzySet.perturbate_parameters"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.FuzzySet.perturbate_parameters">[docs]</a> <span class="k">def</span> <span class="nf">perturbate_parameters</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">str</span><span class="p">(</span><span class="n">t</span><span class="p">)</span> <span class="ow">not</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">perturbated_parameters</span><span class="p">:</span>
<span class="n">param</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">parameters</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="p">(</span><span class="nb">list</span><span class="p">,</span> <span class="nb">set</span><span class="p">)):</span>
<span class="n">param</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">perform_location</span><span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">param</span><span class="p">)</span>
<span class="n">param</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">perform_width</span><span class="p">(</span><span class="n">t</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">param</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">param</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">perform_location</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">param</span><span class="p">)</span>
<span class="n">param</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">perform_width</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">param</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">perturbated_parameters</span><span class="p">[</span><span class="nb">str</span><span class="p">(</span><span class="n">t</span><span class="p">)]</span> <span class="o">=</span> <span class="n">param</span></div>
<div class="viewcode-block" id="FuzzySet.get_midpoint"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.FuzzySet.get_midpoint">[docs]</a> <span class="k">def</span> <span class="nf">get_midpoint</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">perturbate_parameters</span><span class="p">(</span><span class="n">t</span><span class="p">)</span>
<span class="n">param</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">perturbated_parameters</span><span class="p">[</span><span class="nb">str</span><span class="p">(</span><span class="n">t</span><span class="p">)]</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">gaussmf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">sigmf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trimf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trapmf</span><span class="p">:</span>
<span class="k">return</span> <span class="p">(</span><span class="n">param</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">-</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span> <span class="o">/</span> <span class="mi">2</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span></div>
<div class="viewcode-block" id="FuzzySet.get_lower"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.FuzzySet.get_lower">[docs]</a> <span class="k">def</span> <span class="nf">get_lower</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">perturbate_parameters</span><span class="p">(</span><span class="n">t</span><span class="p">)</span>
<span class="n">param</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">perturbated_parameters</span><span class="p">[</span><span class="nb">str</span><span class="p">(</span><span class="n">t</span><span class="p">)]</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">gaussmf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="mi">3</span><span class="o">*</span><span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">sigmf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trimf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trapmf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span></div>
<div class="viewcode-block" id="FuzzySet.get_upper"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.FuzzySet.get_upper">[docs]</a> <span class="k">def</span> <span class="nf">get_upper</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">perturbate_parameters</span><span class="p">(</span><span class="n">t</span><span class="p">)</span>
<span class="n">param</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">perturbated_parameters</span><span class="p">[</span><span class="nb">str</span><span class="p">(</span><span class="n">t</span><span class="p">)]</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">gaussmf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="mi">3</span><span class="o">*</span><span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">sigmf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="n">param</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trimf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trapmf</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">return</span> <span class="n">param</span></div>
<span class="k">def</span> <span class="fm">__str__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">tmp</span> <span class="o">=</span> <span class="s2">""</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">location</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">tmp</span> <span class="o">+=</span> <span class="s2">"Location: "</span>
<span class="k">for</span> <span class="n">ct</span><span class="p">,</span> <span class="n">f</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">location</span><span class="p">):</span>
<span class="n">tmp</span> <span class="o">+=</span> <span class="nb">str</span><span class="p">(</span><span class="n">f</span><span class="o">.</span><span class="vm">__name__</span><span class="p">)</span> <span class="o">+</span> <span class="s2">"("</span> <span class="o">+</span> <span class="nb">str</span><span class="p">([</span><span class="s2">"</span><span class="si">{0:.2f}</span><span class="s2">"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">p</span><span class="p">)</span> <span class="k">for</span> <span class="n">p</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">location_params</span><span class="p">[</span><span class="n">ct</span><span class="p">]])</span> <span class="o">+</span> <span class="s2">") "</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">width</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">tmp</span> <span class="o">+=</span> <span class="s2">"Width: "</span>
<span class="k">for</span> <span class="n">ct</span><span class="p">,</span> <span class="n">f</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">width</span><span class="p">):</span>
<span class="n">tmp</span> <span class="o">+=</span> <span class="nb">str</span><span class="p">(</span><span class="n">f</span><span class="o">.</span><span class="vm">__name__</span><span class="p">)</span> <span class="o">+</span> <span class="s2">"("</span> <span class="o">+</span> <span class="nb">str</span><span class="p">([</span><span class="s2">"</span><span class="si">{0:.2f}</span><span class="s2">"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">p</span><span class="p">)</span> <span class="k">for</span> <span class="n">p</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">width_params</span><span class="p">[</span><span class="n">ct</span><span class="p">]])</span> <span class="o">+</span> <span class="s2">") "</span>
<span class="n">tmp</span> <span class="o">=</span> <span class="s2">"("</span> <span class="o">+</span> <span class="nb">str</span><span class="p">([</span><span class="s2">"</span><span class="si">{0:.2f}</span><span class="s2">"</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">p</span><span class="p">)</span> <span class="k">for</span> <span class="n">p</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">parameters</span><span class="p">])</span> <span class="o">+</span> <span class="s2">") "</span> <span class="o">+</span> <span class="n">tmp</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">name</span> <span class="o">+</span> <span class="s2">": "</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">mf</span><span class="o">.</span><span class="vm">__name__</span><span class="p">)</span> <span class="o">+</span> <span class="n">tmp</span></div>
<div class="viewcode-block" id="fuzzify"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.fuzzify">[docs]</a><span class="k">def</span> <span class="nf">fuzzify</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">t</span><span class="p">,</span> <span class="n">fuzzySets</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Calculate the membership values for a data point given nonstationary fuzzy sets</span>
<span class="sd"> :param inst: data points</span>
<span class="sd"> :param t: time displacement of the instance</span>
<span class="sd"> :param fuzzySets: list of fuzzy sets</span>
<span class="sd"> :return: array of membership values</span>
<span class="sd"> """</span>
<span class="n">ret</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="nb">list</span><span class="p">):</span>
<span class="n">inst</span> <span class="o">=</span> <span class="p">[</span><span class="n">inst</span><span class="p">]</span>
<span class="k">for</span> <span class="n">t</span><span class="p">,</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">inst</span><span class="p">):</span>
<span class="n">mv</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">fs</span><span class="o">.</span><span class="n">membership</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">t</span><span class="p">)</span> <span class="k">for</span> <span class="n">fs</span> <span class="ow">in</span> <span class="n">fuzzySets</span><span class="p">])</span>
<span class="n">ret</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">mv</span><span class="p">)</span>
<span class="k">return</span> <span class="n">ret</span></div>
<div class="viewcode-block" id="fuzzySeries"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.fuzzySeries">[docs]</a><span class="k">def</span> <span class="nf">fuzzySeries</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">fuzzySets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="p">,</span> <span class="n">window_size</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">method</span><span class="o">=</span><span class="s1">'fuzzy'</span><span class="p">,</span> <span class="n">const_t</span><span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="n">fts</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">t</span><span class="p">,</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">data</span><span class="p">):</span>
<span class="n">tdisp</span> <span class="o">=</span> <span class="n">window_index</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">window_size</span><span class="p">)</span> <span class="k">if</span> <span class="n">const_t</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">else</span> <span class="n">const_t</span>
<span class="n">mv</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">fuzzySets</span><span class="p">[</span><span class="n">fs</span><span class="p">]</span><span class="o">.</span><span class="n">membership</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">tdisp</span><span class="p">)</span> <span class="k">for</span> <span class="n">fs</span> <span class="ow">in</span> <span class="n">ordered_sets</span><span class="p">])</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">mv</span><span class="p">)</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
<span class="n">sets</span> <span class="o">=</span> <span class="p">[</span><span class="n">check_bounds</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">fuzzySets</span><span class="p">,</span> <span class="n">tdisp</span><span class="p">)]</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">if</span> <span class="n">method</span> <span class="o">==</span> <span class="s1">'fuzzy'</span><span class="p">:</span>
<span class="n">ix</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ravel</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argwhere</span><span class="p">(</span><span class="n">mv</span> <span class="o">></span> <span class="mf">0.0</span><span class="p">))</span>
<span class="k">elif</span> <span class="n">method</span> <span class="o">==</span> <span class="s1">'maximum'</span><span class="p">:</span>
<span class="n">mx</span> <span class="o">=</span> <span class="nb">max</span><span class="p">(</span><span class="n">mv</span><span class="p">)</span>
<span class="n">ix</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">ravel</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argwhere</span><span class="p">(</span><span class="n">mv</span> <span class="o">==</span> <span class="n">mx</span><span class="p">))</span>
<span class="n">sets</span> <span class="o">=</span> <span class="p">[</span><span class="n">fuzzySets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">i</span><span class="p">]]</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">ix</span><span class="p">]</span>
<span class="n">fts</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">sets</span><span class="p">)</span>
<span class="k">return</span> <span class="n">fts</span></div>
<div class="viewcode-block" id="window_index"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.window_index">[docs]</a><span class="k">def</span> <span class="nf">window_index</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">window_size</span><span class="p">):</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="p">(</span><span class="nb">list</span><span class="p">,</span> <span class="nb">set</span><span class="p">)):</span>
<span class="k">return</span> <span class="n">t</span>
<span class="k">return</span> <span class="n">t</span> <span class="o">-</span> <span class="p">(</span><span class="n">t</span> <span class="o">%</span> <span class="n">window_size</span><span class="p">)</span></div>
<div class="viewcode-block" id="check_bounds"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.check_bounds">[docs]</a><span class="k">def</span> <span class="nf">check_bounds</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">partitioner</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
<span class="k">if</span> <span class="n">data</span> <span class="o"><</span> <span class="n">partitioner</span><span class="o">.</span><span class="n">lower_set</span><span class="p">()</span><span class="o">.</span><span class="n">get_lower</span><span class="p">(</span><span class="n">t</span><span class="p">):</span>
<span class="k">return</span> <span class="n">partitioner</span><span class="o">.</span><span class="n">lower_set</span><span class="p">()</span>
<span class="k">elif</span> <span class="n">data</span> <span class="o">></span> <span class="n">partitioner</span><span class="o">.</span><span class="n">upper_set</span><span class="p">()</span><span class="o">.</span><span class="n">get_upper</span><span class="p">(</span><span class="n">t</span><span class="p">):</span>
<span class="k">return</span> <span class="n">partitioner</span><span class="o">.</span><span class="n">upper_set</span><span class="p">()</span></div>
<div class="viewcode-block" id="check_bounds_index"><a class="viewcode-back" href="../../../../pyFTS.models.nonstationary.html#pyFTS.models.nonstationary.common.check_bounds_index">[docs]</a><span class="k">def</span> <span class="nf">check_bounds_index</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">partitioner</span><span class="p">,</span> <span class="n">t</span><span class="p">):</span>
<span class="k">if</span> <span class="n">data</span> <span class="o"><</span> <span class="n">partitioner</span><span class="o">.</span><span class="n">lower_set</span><span class="p">()</span><span class="o">.</span><span class="n">get_lower</span><span class="p">(</span><span class="n">t</span><span class="p">):</span>
<span class="k">return</span> <span class="mi">0</span>
<span class="k">elif</span> <span class="n">data</span> <span class="o">></span> <span class="n">partitioner</span><span class="o">.</span><span class="n">upper_set</span><span class="p">()</span><span class="o">.</span><span class="n">get_upper</span><span class="p">(</span><span class="n">t</span><span class="p">):</span>
<span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="n">partitioner</span><span class="o">.</span><span class="n">sets</span><span class="p">)</span> <span class="o">-</span><span class="mi">1</span></div>
</pre></div>
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