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  <h1>Source code for pyFTS.common.FLR</h1><div class="highlight"><pre>
<span></span><span class="sd">&quot;&quot;&quot;</span>
<span class="sd">This module implements functions for Fuzzy Logical Relationship generation</span>
<span class="sd">&quot;&quot;&quot;</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.common</span> <span class="k">import</span> <span class="n">FuzzySet</span>


<div class="viewcode-block" id="FLR"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FLR.FLR">[docs]</a><span class="k">class</span> <span class="nc">FLR</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Fuzzy Logical Relationship</span>

<span class="sd">    Represents a temporal transition of the fuzzy set LHS on time t for the fuzzy set RHS on time t+1.</span>
<span class="sd">    &quot;&quot;&quot;</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">LHS</span><span class="p">,</span> <span class="n">RHS</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Creates a Fuzzy Logical Relationship</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">LHS</span> <span class="o">=</span> <span class="n">LHS</span>
        <span class="sd">&quot;&quot;&quot;Left Hand Side fuzzy set&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">RHS</span> <span class="o">=</span> <span class="n">RHS</span>
        <span class="sd">&quot;&quot;&quot;Right Hand Side fuzzy set&quot;&quot;&quot;</span>

    <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="nb">str</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">LHS</span><span class="p">)</span> <span class="o">+</span> <span class="s2">&quot; -&gt; &quot;</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">RHS</span><span class="p">)</span></div>


<div class="viewcode-block" id="IndexedFLR"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FLR.IndexedFLR">[docs]</a><span class="k">class</span> <span class="nc">IndexedFLR</span><span class="p">(</span><span class="n">FLR</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;Season Indexed Fuzzy Logical Relationship&quot;&quot;&quot;</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">index</span><span class="p">,</span> <span class="n">LHS</span><span class="p">,</span> <span class="n">RHS</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Create a Season Indexed Fuzzy Logical Relationship</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="nb">super</span><span class="p">(</span><span class="n">IndexedFLR</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">LHS</span><span class="p">,</span> <span class="n">RHS</span><span class="p">)</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">index</span> <span class="o">=</span> <span class="n">index</span>
        <span class="sd">&quot;&quot;&quot;seasonal index&quot;&quot;&quot;</span>

    <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="nb">str</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">index</span><span class="p">)</span> <span class="o">+</span> <span class="s2">&quot;: &quot;</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">LHS</span><span class="p">)</span> <span class="o">+</span> <span class="s2">&quot; -&gt; &quot;</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">RHS</span><span class="p">)</span></div>


<div class="viewcode-block" id="generate_high_order_recurrent_flr"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FLR.generate_high_order_recurrent_flr">[docs]</a><span class="k">def</span> <span class="nf">generate_high_order_recurrent_flr</span><span class="p">(</span><span class="n">fuzzyData</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Create a ordered FLR set from a list of fuzzy sets with recurrence</span>

<span class="sd">    :param fuzzyData: ordered list of fuzzy sets</span>
<span class="sd">    :return: ordered list of FLR</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="n">flrs</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="k">for</span> <span class="n">i</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">1</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">fuzzyData</span><span class="p">)):</span>
        <span class="n">lhs</span> <span class="o">=</span> <span class="n">fuzzyData</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span>
        <span class="n">rhs</span> <span class="o">=</span> <span class="n">fuzzyData</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
        <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">lhs</span><span class="p">,</span> <span class="nb">list</span><span class="p">)</span> <span class="ow">and</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">rhs</span><span class="p">,</span> <span class="nb">list</span><span class="p">):</span>
            <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="n">lhs</span><span class="p">:</span>
                <span class="k">for</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">rhs</span><span class="p">:</span>
                    <span class="n">tmp</span> <span class="o">=</span> <span class="n">FLR</span><span class="p">(</span><span class="n">l</span><span class="p">,</span> <span class="n">r</span><span class="p">)</span>
                    <span class="n">flrs</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">tmp</span><span class="p">)</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="n">tmp</span> <span class="o">=</span> <span class="n">FLR</span><span class="p">(</span><span class="n">lhs</span><span class="p">,</span><span class="n">rhs</span><span class="p">)</span>
            <span class="n">flrs</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">tmp</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">flrs</span></div>


<div class="viewcode-block" id="generate_recurrent_flrs"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FLR.generate_recurrent_flrs">[docs]</a><span class="k">def</span> <span class="nf">generate_recurrent_flrs</span><span class="p">(</span><span class="n">fuzzyData</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Create a ordered FLR set from a list of fuzzy sets with recurrence</span>

<span class="sd">    :param fuzzyData: ordered list of fuzzy sets</span>
<span class="sd">    :return: ordered list of FLR</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="n">flrs</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="k">for</span> <span class="n">i</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">1</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">fuzzyData</span><span class="p">)):</span>
        <span class="n">lhs</span> <span class="o">=</span> <span class="p">[</span><span class="n">fuzzyData</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]]</span>
        <span class="n">rhs</span> <span class="o">=</span> <span class="p">[</span><span class="n">fuzzyData</span><span class="p">[</span><span class="n">i</span><span class="p">]]</span>
        <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">lhs</span><span class="p">)</span><span class="o">.</span><span class="n">flatten</span><span class="p">():</span>
            <span class="k">for</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">rhs</span><span class="p">)</span><span class="o">.</span><span class="n">flatten</span><span class="p">():</span>
                <span class="n">tmp</span> <span class="o">=</span> <span class="n">FLR</span><span class="p">(</span><span class="n">l</span><span class="p">,</span> <span class="n">r</span><span class="p">)</span>
                <span class="n">flrs</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">tmp</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">flrs</span></div>


<div class="viewcode-block" id="generate_non_recurrent_flrs"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FLR.generate_non_recurrent_flrs">[docs]</a><span class="k">def</span> <span class="nf">generate_non_recurrent_flrs</span><span class="p">(</span><span class="n">fuzzyData</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    Create a ordered FLR set from a list of fuzzy sets without recurrence</span>

<span class="sd">    :param fuzzyData: ordered list of fuzzy sets</span>
<span class="sd">    :return: ordered list of FLR</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="n">flrs</span> <span class="o">=</span> <span class="n">generate_recurrent_flrs</span><span class="p">(</span><span class="n">fuzzyData</span><span class="p">)</span>
    <span class="n">tmp</span> <span class="o">=</span> <span class="p">{}</span>
    <span class="k">for</span> <span class="n">flr</span> <span class="ow">in</span> <span class="n">flrs</span><span class="p">:</span> <span class="n">tmp</span><span class="p">[</span><span class="nb">str</span><span class="p">(</span><span class="n">flr</span><span class="p">)]</span> <span class="o">=</span> <span class="n">flr</span>
    <span class="n">ret</span> <span class="o">=</span> <span class="p">[</span><span class="n">value</span> <span class="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">value</span> <span class="ow">in</span> <span class="n">tmp</span><span class="o">.</span><span class="n">items</span><span class="p">()]</span>
    <span class="k">return</span> <span class="n">ret</span></div>


<div class="viewcode-block" id="generate_indexed_flrs"><a class="viewcode-back" href="../../../pyFTS.common.html#pyFTS.common.FLR.generate_indexed_flrs">[docs]</a><span class="k">def</span> <span class="nf">generate_indexed_flrs</span><span class="p">(</span><span class="n">sets</span><span class="p">,</span> <span class="n">indexer</span><span class="p">,</span> <span class="n">data</span><span class="p">,</span> <span class="n">transformation</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">&quot;&quot;&quot;</span>
<span class="sd">    Create a season-indexed ordered FLR set from a list of fuzzy sets with recurrence</span>

<span class="sd">    :param sets: fuzzy sets</span>
<span class="sd">    :param indexer: seasonality indexer </span>
<span class="sd">    :param data: original data</span>
<span class="sd">    :return: ordered list of FLR </span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="n">flrs</span> <span class="o">=</span> <span class="p">[]</span>
    <span class="n">index</span> <span class="o">=</span> <span class="n">indexer</span><span class="o">.</span><span class="n">get_season_of_data</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
    <span class="n">ndata</span> <span class="o">=</span> <span class="n">indexer</span><span class="o">.</span><span class="n">get_data</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
    <span class="k">if</span> <span class="n">transformation</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
        <span class="n">ndata</span> <span class="o">=</span> <span class="n">transformation</span><span class="o">.</span><span class="n">apply</span><span class="p">(</span><span class="n">ndata</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">1</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">ndata</span><span class="p">)):</span>
        <span class="n">lhs</span> <span class="o">=</span> <span class="n">FuzzySet</span><span class="o">.</span><span class="n">fuzzyfy_series</span><span class="p">([</span><span class="n">ndata</span><span class="p">[</span><span class="n">k</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]],</span> <span class="n">sets</span><span class="p">,</span> <span class="n">method</span><span class="o">=</span><span class="s1">&#39;fuzzy&#39;</span><span class="p">,</span><span class="n">alpha_cut</span><span class="o">=</span><span class="n">alpha_cut</span><span class="p">)</span>
        <span class="n">rhs</span> <span class="o">=</span> <span class="n">FuzzySet</span><span class="o">.</span><span class="n">fuzzyfy_series</span><span class="p">([</span><span class="n">ndata</span><span class="p">[</span><span class="n">k</span><span class="p">]],</span> <span class="n">sets</span><span class="p">,</span> <span class="n">method</span><span class="o">=</span><span class="s1">&#39;fuzzy&#39;</span><span class="p">,</span><span class="n">alpha_cut</span><span class="o">=</span><span class="n">alpha_cut</span><span class="p">)</span>
        <span class="n">season</span> <span class="o">=</span> <span class="n">index</span><span class="p">[</span><span class="n">k</span><span class="p">]</span>
        <span class="k">for</span> <span class="n">_l</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">lhs</span><span class="p">)</span><span class="o">.</span><span class="n">flatten</span><span class="p">():</span>
            <span class="k">for</span> <span class="n">_r</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">rhs</span><span class="p">)</span><span class="o">.</span><span class="n">flatten</span><span class="p">():</span>
                <span class="n">flr</span> <span class="o">=</span> <span class="n">IndexedFLR</span><span class="p">(</span><span class="n">season</span><span class="p">,</span><span class="n">_l</span><span class="p">,</span><span class="n">_r</span><span class="p">)</span>
                <span class="n">flrs</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">flr</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">flrs</span></div>
</pre></div>

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