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ComplementFunction Enumeration Reference
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<a href="../Structs/FuzzyRuleBase/FuzzyRuleBaseBuilder.html">– FuzzyRuleBaseBuilder</a>
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<a href="../Structs/IterableFuzzySet/Element.html">– Element</a>
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<a href="../Typealiases.html#/s:9FuzzySets5Gradea">Grade</a>
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<article class="main-content">
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<section>
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<section class="section">
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<h1>ComplementFunction</h1>
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<div class="declaration">
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<div class="language">
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<pre class="highlight swift"><code><span class="kd">public</span> <span class="kd">enum</span> <span class="kt">ComplementFunction</span></code></pre>
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</div>
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</div>
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<p>Describes a complement (negation) function, usually used for forming a complement (negation) of a fuzzy set.</p>
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<p>A function <code>c</code> must satisfy the following axioms in order to be capable of negating a fuzzy set:</p>
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<ol>
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<li>Boundary condition: <code>c(0) = 1</code>, <code>c(1) = 0</code></li>
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<li>Monotonic nonincreasing: <code>a < b -> c(a) >= c(b)</code></li>
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<li>Involution: <code>c(c(a)) = a</code></li>
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</ol>
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</section>
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<div class="task-group">
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<ul>
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<li class="item">
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<div>
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<code>
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<a name="/s:9FuzzySets18ComplementFunctionO8standardyA2CmF"></a>
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<a name="//apple_ref/swift/Element/standard" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets18ComplementFunctionO8standardyA2CmF">standard</a>
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</code>
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<section class="section">
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<div class="pointer"></div>
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<div class="abstract">
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<p>Undocumented</p>
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</div>
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<div class="declaration">
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<h4>Declaration</h4>
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<div class="language">
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<p class="aside-title">Swift</p>
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<pre class="highlight swift"><code><span class="k">case</span> <span class="n">standard</span></code></pre>
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</div>
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</div>
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</section>
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</div>
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</li>
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<li class="item">
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<div>
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<code>
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<a name="/s:9FuzzySets18ComplementFunctionO5yageryACSd_tcACmF"></a>
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<a name="//apple_ref/swift/Element/yager(w:)" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets18ComplementFunctionO5yageryACSd_tcACmF">yager(w:<wbr>)</a>
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</code>
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</div>
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<div class="height-container">
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<div class="pointer-container"></div>
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<section class="section">
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<div class="pointer"></div>
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<div class="abstract">
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<p>Undocumented</p>
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</div>
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<div class="declaration">
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<h4>Declaration</h4>
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<div class="language">
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<p class="aside-title">Swift</p>
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<pre class="highlight swift"><code><span class="k">case</span> <span class="nf">yager</span><span class="p">(</span><span class="nv">w</span><span class="p">:</span> <span class="kt">Double</span><span class="p">)</span></code></pre>
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</div>
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</div>
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</section>
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</div>
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</li>
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<li class="item">
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<div>
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<code>
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<a name="/s:9FuzzySets18ComplementFunctionO6sugenoyACSd_tcACmF"></a>
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<a name="//apple_ref/swift/Element/sugeno(s:)" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets18ComplementFunctionO6sugenoyACSd_tcACmF">sugeno(s:<wbr>)</a>
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</code>
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</div>
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<div class="height-container">
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<div class="pointer-container"></div>
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<section class="section">
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<div class="pointer"></div>
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<div class="abstract">
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<p>Undocumented</p>
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</div>
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<div class="declaration">
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<h4>Declaration</h4>
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<div class="language">
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<p class="aside-title">Swift</p>
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<pre class="highlight swift"><code><span class="k">case</span> <span class="nf">sugeno</span><span class="p">(</span><span class="nv">s</span><span class="p">:</span> <span class="kt">Double</span><span class="p">)</span></code></pre>
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</div>
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</div>
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</section>
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</div>
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</li>
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<li class="item">
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<div>
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<code>
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<a name="/s:9FuzzySets18ComplementFunctionO6customyACS2dccACmF"></a>
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<a name="//apple_ref/swift/Element/custom(_:)" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets18ComplementFunctionO6customyACS2dccACmF">custom(_:<wbr>)</a>
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</code>
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</div>
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<section class="section">
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<div class="pointer"></div>
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<div class="abstract">
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<p>Undocumented</p>
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</div>
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<div class="declaration">
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<h4>Declaration</h4>
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<div class="language">
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<p class="aside-title">Swift</p>
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<pre class="highlight swift"><code><span class="k">case</span> <span class="nf">custom</span><span class="p">((</span><span class="kt"><a href="../Typealiases.html#/s:9FuzzySets5Gradea">Grade</a></span><span class="p">)</span> <span class="o">-></span> <span class="kt"><a href="../Typealiases.html#/s:9FuzzySets5Gradea">Grade</a></span><span class="p">)</span></code></pre>
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</div>
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</div>
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</section>
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</div>
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</li>
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<li class="item">
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<div>
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<code>
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<a name="/s:9FuzzySets18ComplementFunctionO8functionyS2dcvp"></a>
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<a name="//apple_ref/swift/Property/function" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets18ComplementFunctionO8functionyS2dcvp">function</a>
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</code>
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</div>
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<div class="height-container">
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<div class="pointer-container"></div>
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<section class="section">
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<div class="pointer"></div>
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<div class="abstract">
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<p>Undocumented</p>
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</div>
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<div class="declaration">
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<h4>Declaration</h4>
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<div class="language">
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<p class="aside-title">Swift</p>
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<pre class="highlight swift"><code><span class="kd">public</span> <span class="k">var</span> <span class="nv">function</span><span class="p">:</span> <span class="p">(</span><span class="kt"><a href="../Typealiases.html#/s:9FuzzySets5Gradea">Grade</a></span><span class="p">)</span> <span class="o">-></span> <span class="kt"><a href="../Typealiases.html#/s:9FuzzySets5Gradea">Grade</a></span> <span class="p">{</span> <span class="k">get</span> <span class="p">}</span></code></pre>
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</div>
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</div>
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</section>
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<p>© 2022 <a class="link" href="" target="_blank" rel="external noopener">Alexander Ignatov</a>. All rights reserved. (Last updated: 2022-02-08)</p>
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