<!doctype html> <html> <head> <meta charset="utf-8" /> <meta name="viewport" content="width=device-width, initial-scale=1.0"><script type="text/javascript"> var _gaq = _gaq || []; _gaq.push(['_setAccount', 'UA-55120145-3']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); </script> <title>pyFTS.common.Membership — pyFTS 1.6 documentation</title> <link rel="stylesheet" href="../../../_static/bizstyle.css" type="text/css" /> <link rel="stylesheet" href="../../../_static/pygments.css" type="text/css" /> <script id="documentation_options" data-url_root="../../../" src="../../../_static/documentation_options.js"></script> <script src="../../../_static/jquery.js"></script> <script src="../../../_static/underscore.js"></script> <script src="../../../_static/doctools.js"></script> <script src="../../../_static/language_data.js"></script> <script src="../../../_static/bizstyle.js"></script> <link rel="index" title="Index" href="../../../genindex.html" /> <link rel="search" title="Search" href="../../../search.html" /> <meta name="viewport" content="width=device-width,initial-scale=1.0"> <!--[if lt IE 9]> <script src="_static/css3-mediaqueries.js"></script> <![endif]--> </head><body> <div class="related" role="navigation" aria-label="related navigation"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="../../../genindex.html" title="General Index" accesskey="I">index</a></li> <li class="right" > <a href="../../../py-modindex.html" title="Python Module Index" >modules</a> |</li> <li class="nav-item nav-item-0"><a href="../../../index.html">pyFTS 1.6 documentation</a> »</li> <li class="nav-item nav-item-1"><a href="../../index.html" accesskey="U">Module code</a> »</li> <li class="nav-item nav-item-this"><a href="">pyFTS.common.Membership</a></li> </ul> </div> <div class="document"> <div class="documentwrapper"> <div class="bodywrapper"> <div class="body" role="main"> <h1>Source code for pyFTS.common.Membership</h1><div class="highlight"><pre> <span></span><span class="sd">"""</span> <span class="sd">Membership functions for Fuzzy Sets</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">import</span> <span class="nn">math</span> <span class="kn">from</span> <span class="nn">pyFTS</span> <span class="kn">import</span> <span class="o">*</span> <div class="viewcode-block" id="trimf"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.Membership.trimf">[docs]</a><span class="k">def</span> <span class="nf">trimf</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">parameters</span><span class="p">):</span> <span class="sd">"""</span> <span class="sd"> Triangular fuzzy membership function</span> <span class="sd"> :param x: data point</span> <span class="sd"> :param parameters: a list with 3 real values</span> <span class="sd"> :return: the membership value of x given the parameters</span> <span class="sd"> """</span> <span class="n">xx</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">round</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span> <span class="k">if</span> <span class="n">xx</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="k">return</span> <span class="mi">0</span> <span class="k">elif</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">xx</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="k">return</span> <span class="p">(</span><span class="n">x</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="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="n">parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="k">elif</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">xx</span> <span class="o"><=</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">2</span><span class="p">]:</span> <span class="k">return</span> <span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">-</span> <span class="n">xx</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="mi">2</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="k">else</span><span class="p">:</span> <span class="k">return</span> <span class="mi">0</span></div> <div class="viewcode-block" id="trapmf"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.Membership.trapmf">[docs]</a><span class="k">def</span> <span class="nf">trapmf</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">parameters</span><span class="p">):</span> <span class="sd">"""</span> <span class="sd"> Trapezoidal fuzzy membership function</span> <span class="sd"> :param x: data point</span> <span class="sd"> :param parameters: a list with 4 real values</span> <span class="sd"> :return: the membership value of x given the parameters</span> <span class="sd"> """</span> <span class="k">if</span> <span class="n">x</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="k">return</span> <span class="mi">0</span> <span class="k">elif</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">x</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="k">return</span> <span class="p">(</span><span class="n">x</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="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="n">parameters</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="k">elif</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">x</span> <span class="o"><=</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">2</span><span class="p">]:</span> <span class="k">return</span> <span class="mi">1</span> <span class="k">elif</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o"><=</span> <span class="n">x</span> <span class="o"><=</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">3</span><span class="p">]:</span> <span class="k">return</span> <span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">-</span> <span class="n">x</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">parameters</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">-</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span> <span class="k">else</span><span class="p">:</span> <span class="k">return</span> <span class="mi">0</span></div> <div class="viewcode-block" id="gaussmf"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.Membership.gaussmf">[docs]</a><span class="k">def</span> <span class="nf">gaussmf</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">parameters</span><span class="p">):</span> <span class="sd">"""</span> <span class="sd"> Gaussian fuzzy membership function</span> <span class="sd"> :param x: data point</span> <span class="sd"> :param parameters: a list with 2 real values (mean and variance)</span> <span class="sd"> :return: the membership value of x given the parameters</span> <span class="sd"> """</span> <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">exp</span><span class="p">((</span><span class="o">-</span><span class="p">(</span><span class="n">x</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="mi">2</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">1</span><span class="p">]</span><span class="o">**</span><span class="mi">2</span><span class="p">))</span></div> <div class="viewcode-block" id="bellmf"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.Membership.bellmf">[docs]</a><span class="k">def</span> <span class="nf">bellmf</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">parameters</span><span class="p">):</span> <span class="sd">"""</span> <span class="sd"> Bell shaped membership function</span> <span class="sd"> :param x:</span> <span class="sd"> :param parameters:</span> <span class="sd"> :return:</span> <span class="sd"> """</span> <span class="k">return</span> <span class="mi">1</span> <span class="o">/</span> <span class="p">(</span><span class="mi">1</span> <span class="o">+</span> <span class="nb">abs</span><span class="p">((</span><span class="n">x</span> <span class="o">-</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">2</span><span class="p">])</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="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span></div> <div class="viewcode-block" id="sigmf"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.Membership.sigmf">[docs]</a><span class="k">def</span> <span class="nf">sigmf</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">parameters</span><span class="p">):</span> <span class="sd">"""</span> <span class="sd"> Sigmoid / Logistic membership function</span> <span class="sd"> :param x:</span> <span class="sd"> :param parameters: an list with 2 real values (smoothness and midpoint)</span> <span class="sd"> :return</span> <span class="sd"> """</span> <span class="k">return</span> <span class="mi">1</span> <span class="o">/</span> <span class="p">(</span><span class="mi">1</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">exp</span><span class="p">(</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="p">(</span><span class="n">x</span> <span class="o">-</span> <span class="n">parameters</span><span class="p">[</span><span class="mi">1</span><span class="p">])))</span></div> <div class="viewcode-block" id="singleton"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.Membership.singleton">[docs]</a><span class="k">def</span> <span class="nf">singleton</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">parameters</span><span class="p">):</span> <span class="sd">"""</span> <span class="sd"> Singleton membership function, a single value fuzzy function</span> <span class="sd"> :param x:</span> <span class="sd"> :param parameters: a list with one real value</span> <span class="sd"> :returns</span> <span class="sd"> """</span> <span class="k">return</span> <span class="mi">1</span> <span class="k">if</span> <span class="n">x</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="k">else</span> <span class="mi">0</span></div> </pre></div> <div class="clearer"></div> </div> </div> </div> <div class="sphinxsidebar" role="navigation" aria-label="main navigation"> <div class="sphinxsidebarwrapper"> <div id="searchbox" style="display: none" role="search"> <h3 id="searchlabel">Quick search</h3> <div class="searchformwrapper"> <form class="search" action="../../../search.html" method="get"> <input type="text" name="q" aria-labelledby="searchlabel" /> <input type="submit" value="Go" /> </form> </div> </div> <script>$('#searchbox').show(0);</script> </div> </div> <div class="clearer"></div> </div> <div class="related" role="navigation" aria-label="related navigation"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="../../../genindex.html" title="General Index" >index</a></li> <li class="right" > <a 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