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<h1>Source code for pyFTS.common.FuzzySet</h1><div class="highlight"><pre>
<span></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="k">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">pyFTS.common</span> <span class="k">import</span> <span class="n">Membership</span>
<div class="viewcode-block" id="FuzzySet"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.FuzzySet">[docs]</a><span class="k">class</span> <span class="nc">FuzzySet</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Fuzzy Set</span>
<span class="sd"> """</span>
<span class="k">def</span> <span class="nf">__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="n">centroid</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="sd">"""</span>
<span class="sd"> Create a Fuzzy Set</span>
<span class="sd"> """</span>
<span class="bp">self</span><span class="o">.</span><span class="n">name</span> <span class="o">=</span> <span class="n">name</span>
<span class="sd">"""The fuzzy set name"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">mf</span> <span class="o">=</span> <span class="n">mf</span>
<span class="sd">"""The membership function"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">parameters</span> <span class="o">=</span> <span class="n">parameters</span>
<span class="sd">"""The parameters of the membership function"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">centroid</span> <span class="o">=</span> <span class="n">centroid</span>
<span class="sd">"""The fuzzy set center of mass (or midpoint)"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">alpha</span> <span class="o">=</span> <span class="n">alpha</span>
<span class="sd">"""The alpha cut value"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">type</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="s1">'type'</span><span class="p">,</span> <span class="s1">'common'</span><span class="p">)</span>
<span class="sd">"""The fuzzy set type (common, composite, nonstationary, etc)"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">variable</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="s1">'variable'</span><span class="p">,</span> <span class="kc">None</span><span class="p">)</span>
<span class="sd">"""In multivariate time series, indicate for which variable this fuzzy set belogs"""</span>
<span class="bp">self</span><span class="o">.</span><span class="n">Z</span> <span class="o">=</span> <span class="kc">None</span>
<span class="sd">"""Partition function in respect to the membership function"""</span>
<span class="k">if</span> <span class="n">parameters</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</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="bp">self</span><span class="o">.</span><span class="n">lower</span> <span class="o">=</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">*</span> <span class="mi">3</span>
<span class="bp">self</span><span class="o">.</span><span class="n">upper</span> <span class="o">=</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">*</span> <span class="mi">3</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="n">k</span> <span class="o">=</span> <span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">/</span> <span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">parameters</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">lower</span> <span class="o">=</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">k</span>
<span class="bp">self</span><span class="o">.</span><span class="n">upper</span> <span class="o">=</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">k</span>
<span class="k">else</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">lower</span> <span class="o">=</span> <span class="nb">min</span><span class="p">(</span><span class="n">parameters</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">upper</span> <span class="o">=</span> <span class="nb">max</span><span class="p">(</span><span class="n">parameters</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">metadata</span> <span class="o">=</span> <span class="p">{}</span>
<div class="viewcode-block" id="FuzzySet.transform"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.FuzzySet.transform">[docs]</a> <span class="k">def</span> <span class="nf">transform</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="sd">"""</span>
<span class="sd"> Preprocess the data point for non native types</span>
<span class="sd"> :param x:</span>
<span class="sd"> :return: return a native type value for the structured type</span>
<span class="sd"> """</span>
<span class="k">return</span> <span class="n">x</span></div>
<div class="viewcode-block" id="FuzzySet.membership"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.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="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"> :return: membership value of x at this fuzzy set</span>
<span class="sd"> """</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">mf</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">transform</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">parameters</span><span class="p">)</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">alpha</span></div>
<div class="viewcode-block" id="FuzzySet.partition_function"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.FuzzySet.partition_function">[docs]</a> <span class="k">def</span> <span class="nf">partition_function</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">uod</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">nbins</span><span class="o">=</span><span class="mi">100</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Calculate the partition function over the membership function.</span>
<span class="sd"> :param uod:</span>
<span class="sd"> :param nbins:</span>
<span class="sd"> :return:</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">Z</span> <span class="ow">is</span> <span class="kc">None</span> <span class="ow">and</span> <span class="n">uod</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">Z</span> <span class="o">=</span> <span class="mf">0.0</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">linspace</span><span class="p">(</span><span class="n">uod</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">uod</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">nbins</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">Z</span> <span class="o">+=</span> <span class="bp">self</span><span class="o">.</span><span class="n">membership</span><span class="p">(</span><span class="n">k</span><span class="p">)</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">Z</span></div>
<span class="k">def</span> <span class="nf">__str__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</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="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">parameters</span><span class="p">)</span> <span class="o">+</span> <span class="s2">")"</span></div>
<span class="k">def</span> <span class="nf">__binary_search</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Search for elegible fuzzy sets to fuzzyfy x</span>
<span class="sd"> :param x: input value to be fuzzyfied</span>
<span class="sd"> :param fuzzy_sets: a dictionary where the key is the fuzzy set name and the value is the fuzzy set object.</span>
<span class="sd"> :param ordered_sets: a list with the fuzzy sets names ordered by their centroids.</span>
<span class="sd"> :return: A list with the best fuzzy sets that may contain x</span>
<span class="sd"> """</span>
<span class="n">max_len</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">fuzzy_sets</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span>
<span class="n">first</span> <span class="o">=</span> <span class="mi">0</span>
<span class="n">last</span> <span class="o">=</span> <span class="n">max_len</span>
<span class="k">while</span> <span class="n">first</span> <span class="o"><=</span> <span class="n">last</span><span class="p">:</span>
<span class="n">midpoint</span> <span class="o">=</span> <span class="p">(</span><span class="n">first</span> <span class="o">+</span> <span class="n">last</span><span class="p">)</span> <span class="o">//</span> <span class="mi">2</span>
<span class="n">fs</span> <span class="o">=</span> <span class="n">ordered_sets</span><span class="p">[</span><span class="n">midpoint</span><span class="p">]</span>
<span class="n">fs1</span> <span class="o">=</span> <span class="n">ordered_sets</span><span class="p">[</span><span class="n">midpoint</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="k">if</span> <span class="n">midpoint</span> <span class="o">></span> <span class="mi">0</span> <span class="k">else</span> <span class="n">ordered_sets</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">fs2</span> <span class="o">=</span> <span class="n">ordered_sets</span><span class="p">[</span><span class="n">midpoint</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="k">if</span> <span class="n">midpoint</span> <span class="o"><</span> <span class="n">max_len</span> <span class="k">else</span> <span class="n">ordered_sets</span><span class="p">[</span><span class="n">max_len</span><span class="p">]</span>
<span class="k">if</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">fs1</span><span class="p">]</span><span class="o">.</span><span class="n">centroid</span> <span class="o"><=</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">fs</span><span class="p">]</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="o"><=</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">fs2</span><span class="p">]</span><span class="o">.</span><span class="n">centroid</span><span class="p">:</span>
<span class="k">return</span> <span class="p">(</span><span class="n">midpoint</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">midpoint</span><span class="p">,</span> <span class="n">midpoint</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
<span class="k">elif</span> <span class="n">midpoint</span> <span class="o"><=</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">return</span> <span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="k">elif</span> <span class="n">midpoint</span> <span class="o">>=</span> <span class="n">max_len</span><span class="p">:</span>
<span class="k">return</span> <span class="p">[</span><span class="n">max_len</span><span class="p">]</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">if</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">fs</span><span class="p">]</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="o"><</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">fs</span><span class="p">]</span><span class="o">.</span><span class="n">centroid</span><span class="p">:</span>
<span class="n">last</span> <span class="o">=</span> <span class="n">midpoint</span> <span class="o">-</span> <span class="mi">1</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">first</span> <span class="o">=</span> <span class="n">midpoint</span> <span class="o">+</span> <span class="mi">1</span>
<div class="viewcode-block" id="fuzzyfy"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.fuzzyfy">[docs]</a><span class="k">def</span> <span class="nf">fuzzyfy</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="o">**</span><span class="n">kwargs</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> A general method for fuzzyfication.</span>
<span class="sd"> :param data: input value to be fuzzyfied</span>
<span class="sd"> :param partitioner: a trained pyFTS.partitioners.Partitioner object</span>
<span class="sd"> :param kwargs: dict, optional arguments</span>
<span class="sd"> :keyword alpha_cut: the minimal membership value to be considered on fuzzyfication (only for mode='sets')</span>
<span class="sd"> :keyword method: the fuzzyfication method (fuzzy: all fuzzy memberships, maximum: only the maximum membership)</span>
<span class="sd"> :keyword mode: the fuzzyfication mode (sets: return the fuzzy sets names, vector: return a vector with the membership</span>
<span class="sd"> values for all fuzzy sets, both: return a list with tuples (fuzzy set, membership value) )</span>
<span class="sd"> :returns a list with the fuzzyfied values, depending on the mode</span>
<span class="sd"> """</span>
<span class="n">alpha_cut</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="s1">'alpha_cut'</span><span class="p">,</span> <span class="mf">0.</span><span class="p">)</span>
<span class="n">mode</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="s1">'mode'</span><span class="p">,</span> <span class="s1">'sets'</span><span class="p">)</span>
<span class="n">method</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="s1">'method'</span><span class="p">,</span> <span class="s1">'fuzzy'</span><span class="p">)</span>
<span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="p">(</span><span class="nb">list</span><span class="p">,</span> <span class="n">np</span><span class="o">.</span><span class="n">ndarray</span><span class="p">)):</span>
<span class="k">if</span> <span class="n">mode</span> <span class="o">==</span> <span class="s1">'vector'</span><span class="p">:</span>
<span class="k">return</span> <span class="n">fuzzyfy_instances</span><span class="p">(</span><span class="n">data</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="n">partitioner</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">)</span>
<span class="k">elif</span> <span class="n">mode</span> <span class="o">==</span> <span class="s1">'both'</span><span class="p">:</span>
<span class="n">mvs</span> <span class="o">=</span> <span class="n">fuzzyfy_instances</span><span class="p">(</span><span class="n">data</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="n">partitioner</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">)</span>
<span class="n">fs</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">mv</span> <span class="ow">in</span> <span class="n">mvs</span><span class="p">:</span>
<span class="n">fsets</span> <span class="o">=</span> <span class="p">[(</span><span class="n">partitioner</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">ix</span><span class="p">],</span> <span class="n">mv</span><span class="p">[</span><span class="n">ix</span><span class="p">])</span>
<span class="k">for</span> <span class="n">ix</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="nb">len</span><span class="p">(</span><span class="n">mv</span><span class="p">))</span>
<span class="k">if</span> <span class="n">mv</span><span class="p">[</span><span class="n">ix</span><span class="p">]</span> <span class="o">>=</span> <span class="n">alpha_cut</span><span class="p">]</span>
<span class="n">fs</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">fsets</span><span class="p">)</span>
<span class="k">return</span> <span class="n">fs</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">return</span> <span class="n">fuzzyfy_series</span><span class="p">(</span><span class="n">data</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="n">method</span><span class="p">,</span> <span class="n">alpha_cut</span><span class="p">,</span> <span class="n">partitioner</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">if</span> <span class="n">mode</span> <span class="o">==</span> <span class="s1">'vector'</span><span class="p">:</span>
<span class="k">return</span> <span class="n">fuzzyfy_instance</span><span class="p">(</span><span class="n">data</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="n">partitioner</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">)</span>
<span class="k">elif</span> <span class="n">mode</span> <span class="o">==</span> <span class="s1">'both'</span><span class="p">:</span>
<span class="n">mv</span> <span class="o">=</span> <span class="n">fuzzyfy_instance</span><span class="p">(</span><span class="n">data</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="n">partitioner</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">)</span>
<span class="n">fsets</span> <span class="o">=</span> <span class="p">[(</span><span class="n">partitioner</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">ix</span><span class="p">],</span> <span class="n">mv</span><span class="p">[</span><span class="n">ix</span><span class="p">])</span>
<span class="k">for</span> <span class="n">ix</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="nb">len</span><span class="p">(</span><span class="n">mv</span><span class="p">))</span>
<span class="k">if</span> <span class="n">mv</span><span class="p">[</span><span class="n">ix</span><span class="p">]</span> <span class="o">>=</span> <span class="n">alpha_cut</span><span class="p">]</span>
<span class="k">return</span> <span class="n">fsets</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">return</span> <span class="n">get_fuzzysets</span><span class="p">(</span><span class="n">data</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="n">partitioner</span><span class="o">.</span><span class="n">ordered_sets</span><span class="p">,</span> <span class="n">alpha_cut</span><span class="p">)</span></div>
<div class="viewcode-block" id="set_ordered"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.set_ordered">[docs]</a><span class="k">def</span> <span class="nf">set_ordered</span><span class="p">(</span><span class="n">fuzzy_sets</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Order a fuzzy set list by their centroids</span>
<span class="sd"> :param fuzzy_sets: a dictionary where the key is the fuzzy set name and the value is the fuzzy set object.</span>
<span class="sd"> :return: a list with the fuzzy sets names ordered by their centroids.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">fuzzy_sets</span><span class="p">)</span> <span class="o">></span> <span class="mi">0</span><span class="p">:</span>
<span class="n">tmp1</span> <span class="o">=</span> <span class="p">[</span><span class="n">fuzzy_sets</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">fuzzy_sets</span><span class="o">.</span><span class="n">keys</span><span class="p">()]</span>
<span class="k">return</span> <span class="p">[</span><span class="n">k</span><span class="o">.</span><span class="n">name</span> <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">tmp1</span><span class="p">,</span> <span class="n">key</span><span class="o">=</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">centroid</span><span class="p">)]</span></div>
<div class="viewcode-block" id="fuzzyfy_instance"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.fuzzyfy_instance">[docs]</a><span class="k">def</span> <span class="nf">fuzzyfy_instance</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Calculate the membership values for a data point given fuzzy sets</span>
<span class="sd"> :param inst: data point</span>
<span class="sd"> :param fuzzy_sets: a dictionary where the key is the fuzzy set name and the value is the fuzzy set object.</span>
<span class="sd"> :param ordered_sets: a list with the fuzzy sets names ordered by their centroids.</span>
<span class="sd"> :return: array of membership values</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">ordered_sets</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">ordered_sets</span> <span class="o">=</span> <span class="n">set_ordered</span><span class="p">(</span><span class="n">fuzzy_sets</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">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">fuzzy_sets</span><span class="p">))</span>
<span class="k">for</span> <span class="n">ix</span> <span class="ow">in</span> <span class="n">__binary_search</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="p">):</span>
<span class="n">mv</span><span class="p">[</span><span class="n">ix</span><span class="p">]</span> <span class="o">=</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">ix</span><span class="p">]]</span><span class="o">.</span><span class="n">membership</span><span class="p">(</span><span class="n">inst</span><span class="p">)</span>
<span class="k">return</span> <span class="n">mv</span></div>
<div class="viewcode-block" id="fuzzyfy_instances"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.fuzzyfy_instances">[docs]</a><span class="k">def</span> <span class="nf">fuzzyfy_instances</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Calculate the membership values for a data point given fuzzy sets</span>
<span class="sd"> :param inst: data point</span>
<span class="sd"> :param fuzzy_sets: a dictionary where the key is the fuzzy set name and the value is the fuzzy set object.</span>
<span class="sd"> :param ordered_sets: a list with the fuzzy sets names ordered by their centroids.</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="n">ordered_sets</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">ordered_sets</span> <span class="o">=</span> <span class="n">set_ordered</span><span class="p">(</span><span class="n">fuzzy_sets</span><span class="p">)</span>
<span class="k">for</span> <span class="n">inst</span> <span class="ow">in</span> <span class="n">data</span><span class="p">:</span>
<span class="n">mv</span> <span class="o">=</span> <span class="n">fuzzyfy_instance</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</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="get_fuzzysets"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.get_fuzzysets">[docs]</a><span class="k">def</span> <span class="nf">get_fuzzysets</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">alpha_cut</span><span class="o">=</span><span class="mf">0.0</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Return the fuzzy sets which membership value for a inst is greater than the alpha_cut</span>
<span class="sd"> :param inst: data point</span>
<span class="sd"> :param fuzzy_sets: a dictionary where the key is the fuzzy set name and the value is the fuzzy set object.</span>
<span class="sd"> :param ordered_sets: a list with the fuzzy sets names ordered by their centroids.</span>
<span class="sd"> :param alpha_cut: Minimal membership to be considered on fuzzyfication process</span>
<span class="sd"> :return: array of membership values</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">ordered_sets</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">ordered_sets</span> <span class="o">=</span> <span class="n">set_ordered</span><span class="p">(</span><span class="n">fuzzy_sets</span><span class="p">)</span>
<span class="k">try</span><span class="p">:</span>
<span class="n">fs</span> <span class="o">=</span> <span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">ix</span><span class="p">]</span>
<span class="k">for</span> <span class="n">ix</span> <span class="ow">in</span> <span class="n">__binary_search</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="p">)</span>
<span class="k">if</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">ix</span><span class="p">]]</span><span class="o">.</span><span class="n">membership</span><span class="p">(</span><span class="n">inst</span><span class="p">)</span> <span class="o">></span> <span class="n">alpha_cut</span><span class="p">]</span>
<span class="k">return</span> <span class="n">fs</span>
<span class="k">except</span> <span class="ne">Exception</span> <span class="k">as</span> <span class="n">ex</span><span class="p">:</span>
<span class="k">raise</span> <span class="n">ex</span></div>
<div class="viewcode-block" id="get_maximum_membership_fuzzyset"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.get_maximum_membership_fuzzyset">[docs]</a><span class="k">def</span> <span class="nf">get_maximum_membership_fuzzyset</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Fuzzify a data point, returning the fuzzy set with maximum membership value</span>
<span class="sd"> :param inst: data point</span>
<span class="sd"> :param fuzzy_sets: a dictionary where the key is the fuzzy set name and the value is the fuzzy set object.</span>
<span class="sd"> :param ordered_sets: a list with the fuzzy sets names ordered by their centroids.</span>
<span class="sd"> :return: fuzzy set with maximum membership</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">ordered_sets</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">ordered_sets</span> <span class="o">=</span> <span class="n">set_ordered</span><span class="p">(</span><span class="n">fuzzy_sets</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">fuzzy_sets</span><span class="p">[</span><span class="n">key</span><span class="p">]</span><span class="o">.</span><span class="n">membership</span><span class="p">(</span><span class="n">inst</span><span class="p">)</span> <span class="k">for</span> <span class="n">key</span> <span class="ow">in</span> <span class="n">ordered_sets</span><span class="p">])</span>
<span class="n">key</span> <span class="o">=</span> <span class="n">ordered_sets</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="nb">max</span><span class="p">(</span><span class="n">mv</span><span class="p">))[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]]</span>
<span class="k">return</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">key</span><span class="p">]</span></div>
<div class="viewcode-block" id="get_maximum_membership_fuzzyset_index"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.get_maximum_membership_fuzzyset_index">[docs]</a><span class="k">def</span> <span class="nf">get_maximum_membership_fuzzyset_index</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Fuzzify a data point, returning the fuzzy set with maximum membership value</span>
<span class="sd"> :param inst: data point</span>
<span class="sd"> :param fuzzy_sets: dict of fuzzy sets</span>
<span class="sd"> :return: fuzzy set with maximum membership</span>
<span class="sd"> """</span>
<span class="n">mv</span> <span class="o">=</span> <span class="n">fuzzyfy_instance</span><span class="p">(</span><span class="n">inst</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">)</span>
<span class="k">return</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="nb">max</span><span class="p">(</span><span class="n">mv</span><span class="p">))[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span></div>
<div class="viewcode-block" id="fuzzyfy_series_old"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.fuzzyfy_series_old">[docs]</a><span class="k">def</span> <span class="nf">fuzzyfy_series_old</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">method</span><span class="o">=</span><span class="s1">'maximum'</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">item</span> <span class="ow">in</span> <span class="n">data</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">get_maximum_membership_fuzzyset</span><span class="p">(</span><span class="n">item</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">)</span><span class="o">.</span><span class="n">name</span><span class="p">)</span>
<span class="k">return</span> <span class="n">fts</span></div>
<div class="viewcode-block" id="fuzzyfy_series"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.fuzzyfy_series">[docs]</a><span class="k">def</span> <span class="nf">fuzzyfy_series</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">method</span><span class="o">=</span><span class="s1">'maximum'</span><span class="p">,</span> <span class="n">alpha_cut</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">ordered_sets</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">if</span> <span class="n">ordered_sets</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">ordered_sets</span> <span class="o">=</span> <span class="n">set_ordered</span><span class="p">(</span><span class="n">fuzzy_sets</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">mv</span> <span class="o">=</span> <span class="n">fuzzyfy_instance</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</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="n">check_bounds</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="o">.</span><span class="n">items</span><span class="p">(),</span> <span class="n">ordered_sets</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="n">alpha_cut</span><span class="p">))</span>
<span class="n">sets</span> <span class="o">=</span> <span class="p">[</span><span class="n">fuzzy_sets</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="o">.</span><span class="n">name</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="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="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="n">ix</span><span class="p">[</span><span class="mi">0</span><span class="p">]]]</span><span class="o">.</span><span class="n">name</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="grant_bounds"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.grant_bounds">[docs]</a><span class="k">def</span> <span class="nf">grant_bounds</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="p">):</span>
<span class="k">if</span> <span class="n">data</span> <span class="o"><</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span><span class="o">.</span><span class="n">lower</span><span class="p">:</span>
<span class="k">return</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span><span class="o">.</span><span class="n">lower</span>
<span class="k">elif</span> <span class="n">data</span> <span class="o">></span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]]</span><span class="o">.</span><span class="n">upper</span><span class="p">:</span>
<span class="k">return</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]]</span><span class="o">.</span><span class="n">upper</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">return</span> <span class="n">data</span></div>
<div class="viewcode-block" id="check_bounds"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.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">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="p">):</span>
<span class="k">if</span> <span class="n">data</span> <span class="o"><</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span><span class="o">.</span><span class="n">lower</span><span class="p">:</span>
<span class="k">return</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span>
<span class="k">elif</span> <span class="n">data</span> <span class="o">></span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]]</span><span class="o">.</span><span class="n">upper</span><span class="p">:</span>
<span class="k">return</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]]</span></div>
<div class="viewcode-block" id="check_bounds_index"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FuzzySet.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">fuzzy_sets</span><span class="p">,</span> <span class="n">ordered_sets</span><span class="p">):</span>
<span class="k">if</span> <span class="n">data</span> <span class="o"><</span> <span class="n">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="mi">0</span><span class="p">]]</span><span class="o">.</span><span class="n">get_lower</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">fuzzy_sets</span><span class="p">[</span><span class="n">ordered_sets</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]]</span><span class="o">.</span><span class="n">get_upper</span><span class="p">():</span>
<span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="n">fuzzy_sets</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span></div>
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