507 lines
24 KiB
HTML
507 lines
24 KiB
HTML
<!DOCTYPE html>
|
||
<html lang="en">
|
||
<head>
|
||
<title>TNormFunction Enumeration Reference</title>
|
||
<link rel="stylesheet" type="text/css" href="../css/jazzy.css" />
|
||
<link rel="stylesheet" type="text/css" href="../css/highlight.css" />
|
||
<meta charset='utf-8'>
|
||
<script src="../js/jquery.min.js" defer></script>
|
||
<script src="../js/jazzy.js" defer></script>
|
||
|
||
<script src="../js/lunr.min.js" defer></script>
|
||
<script src="../js/typeahead.jquery.js" defer></script>
|
||
<script src="../js/jazzy.search.js" defer></script>
|
||
</head>
|
||
<body>
|
||
<a name="//apple_ref/swift/Enum/TNormFunction" class="dashAnchor"></a>
|
||
<a title="TNormFunction Enumeration Reference"></a>
|
||
<header>
|
||
<div class="content-wrapper">
|
||
<p><a href="../index.html"> Docs</a> (7% documented)</p>
|
||
<div class="header-right">
|
||
<form role="search" action="../search.json">
|
||
<input type="text" placeholder="Search documentation" data-typeahead>
|
||
</form>
|
||
</div>
|
||
</div>
|
||
</header>
|
||
<div class="content-wrapper">
|
||
<p id="breadcrumbs">
|
||
<a href="../index.html"> Reference</a>
|
||
<img id="carat" src="../img/carat.png" alt=""/>
|
||
TNormFunction Enumeration Reference
|
||
</p>
|
||
</div>
|
||
<div class="content-wrapper">
|
||
<nav class="sidebar">
|
||
<ul class="nav-groups">
|
||
<li class="nav-group-name">
|
||
<a href="../Classes.html">Classes</a>
|
||
<ul class="nav-group-tasks">
|
||
<li class="nav-group-task">
|
||
<a href="../Classes/FuzzyLogicController.html">FuzzyLogicController</a>
|
||
</li>
|
||
</ul>
|
||
</li>
|
||
<li class="nav-group-name">
|
||
<a href="../Enums.html">Enumerations</a>
|
||
<ul class="nav-group-tasks">
|
||
<li class="nav-group-task">
|
||
<a href="../Enums/ComplementFunction.html">ComplementFunction</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Enums/CompositionMethod.html">CompositionMethod</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Enums/DifferenceFunction.html">DifferenceFunction</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Enums/ImplicationMethod.html">ImplicationMethod</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Enums/SNormFunction.html">SNormFunction</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Enums/SymmetricDifferenceFunction.html">SymmetricDifferenceFunction</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Enums/TNormFunction.html">TNormFunction</a>
|
||
</li>
|
||
</ul>
|
||
</li>
|
||
<li class="nav-group-name">
|
||
<a href="../Functions.html">Functions</a>
|
||
<ul class="nav-group-tasks">
|
||
<li class="nav-group-task">
|
||
<a href="../Functions.html#/s:10FuzzyLogic1nopyAA0A8NegationVy5InputQzGxAA0A11PropositionRzlF">!(_:)</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Functions.html#/s:10FuzzyLogic2aaoiyAA0A11ConjunctionVy5InputQz_AEQy_tGx_q_tAA0A11PropositionRzAaIR_r0_lF">&&(_:_:)</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Functions.html#/s:10FuzzyLogic3ssgoiyAA0A4RuleVy5InputQz_AEQy_tGx_q_tAA0A11PropositionRzAaIR_r0_lF">-->(_:_:)</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Functions.html#/s:10FuzzyLogic2xxoiyAA0A3XORVy5InputQz_AEQy_tGx_q_tAA0A11PropositionRzAaIR_r0_lF">^^(_:_:)</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Functions.html#/s:10FuzzyLogic2oooiyAA0A11DisjunctionVy5InputQz_AEQy_tGx_q_tAA0A11PropositionRzAaIR_r0_lF">||(_:_:)</a>
|
||
</li>
|
||
</ul>
|
||
</li>
|
||
<li class="nav-group-name">
|
||
<a href="../Protocols.html">Protocols</a>
|
||
<ul class="nav-group-tasks">
|
||
<li class="nav-group-task">
|
||
<a href="../Protocols/AnyFuzzySetRepresentable.html">AnyFuzzySetRepresentable</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Protocols/FuzzyImplicationCapable.html">FuzzyImplicationCapable</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Protocols/FuzzyProposition.html">FuzzyProposition</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Protocols/FuzzySet.html">FuzzySet</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Protocols/FuzzySetOperations.html">FuzzySetOperations</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Protocols/LinguisticVariable.html">LinguisticVariable</a>
|
||
</li>
|
||
</ul>
|
||
</li>
|
||
<li class="nav-group-name">
|
||
<a href="../Structs.html">Structures</a>
|
||
<ul class="nav-group-tasks">
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/AnyFuzzySet.html">AnyFuzzySet</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/BinaryCartesianProduct.html">BinaryCartesianProduct</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/BinaryFuzzyRelation.html">BinaryFuzzyRelation</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/DiscreteMutableFuzzySet.html">DiscreteMutableFuzzySet</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/DynamicLinguisticVariable.html">DynamicLinguisticVariable</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzyConjunction.html">FuzzyConjunction</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzyDisjunction.html">FuzzyDisjunction</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzyNegation.html">FuzzyNegation</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzyRelationsComposition.html">FuzzyRelationsComposition</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzyRule.html">FuzzyRule</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzyRuleBase.html">FuzzyRuleBase</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzyRuleBase/FuzzyRuleBaseBuilder.html">– FuzzyRuleBaseBuilder</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzySetComposition.html">FuzzySetComposition</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/FuzzyXOR.html">FuzzyXOR</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/HomogenousFuzzyRelation.html">HomogenousFuzzyRelation</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/IterableFuzzySet.html">IterableFuzzySet</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/IterableFuzzySet/Element.html">– Element</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/MembershipFunction.html">MembershipFunction</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/ModifiableLinguisticVariable.html">ModifiableLinguisticVariable</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/OperationSettings.html">OperationSettings</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/SimpleLinguisticVariable.html">SimpleLinguisticVariable</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/TernaryFuzzyRelation.html">TernaryFuzzyRelation</a>
|
||
</li>
|
||
<li class="nav-group-task">
|
||
<a href="../Structs/TriangularFuzzyNumber.html">TriangularFuzzyNumber</a>
|
||
</li>
|
||
</ul>
|
||
</li>
|
||
<li class="nav-group-name">
|
||
<a href="../Typealiases.html">Type Aliases</a>
|
||
<ul class="nav-group-tasks">
|
||
<li class="nav-group-task">
|
||
<a href="../Typealiases.html#/s:9FuzzySets5Gradea">Grade</a>
|
||
</li>
|
||
</ul>
|
||
</li>
|
||
</ul>
|
||
</nav>
|
||
<article class="main-content">
|
||
<section>
|
||
<section class="section">
|
||
<h1>TNormFunction</h1>
|
||
<div class="declaration">
|
||
<div class="language">
|
||
|
||
<pre class="highlight swift"><code><span class="kd">public</span> <span class="kd">enum</span> <span class="kt">TNormFunction</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
<p>Describes a T-norm function, usually used for forming an intersection of fuzzy sets.</p>
|
||
|
||
<p>A function <code>T</code> must satisfy the following axioms in order to be T-normed:</p>
|
||
|
||
<ol>
|
||
<li>Boundary condition: <code>T(1, 1) = 1</code>, <code>T(1, 0) = 0</code>, <code>T(0, 1) = 0</code>, <code>T(0, 0) = 0</code></li>
|
||
<li>Commutativity: <code>T(a, b) = T(b, a)</code></li>
|
||
<li>Monotonic: <code>If a <= a' and b <= b' Then T(a, b) <= T(a', b')</code></li>
|
||
<li>Associativity: <code>T(T(a, b), c) = T(a, T(b, c))</code></li>
|
||
</ol>
|
||
|
||
</section>
|
||
<section class="section task-group-section">
|
||
<div class="task-group">
|
||
<ul>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO7minimumyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/minimum" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO7minimumyA2CmF">minimum</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<pre class="highlight swift"><code><span class="k">case</span> <span class="n">minimum</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO11lukasiewiczyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/lukasiewicz" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO11lukasiewiczyA2CmF">lukasiewicz</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<pre class="highlight swift"><code><span class="k">case</span> <span class="n">lukasiewicz</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO7productyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/product" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO7productyA2CmF">product</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<pre class="highlight swift"><code><span class="k">case</span> <span class="n">product</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO4weakyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/weak" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO4weakyA2CmF">weak</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<pre class="highlight swift"><code><span class="k">case</span> <span class="k">weak</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO8hamacheryACSd_tcACmF"></a>
|
||
<a name="//apple_ref/swift/Element/hamacher(gamma:)" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO8hamacheryACSd_tcACmF">hamacher(gamma:<wbr>)</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<pre class="highlight swift"><code><span class="k">case</span> <span class="nf">hamacher</span><span class="p">(</span><span class="nv">gamma</span><span class="p">:</span> <span class="kt">Double</span><span class="p">)</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO14duboisAndPradeyACSd_tcACmF"></a>
|
||
<a name="//apple_ref/swift/Element/duboisAndPrade(alpha:)" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO14duboisAndPradeyACSd_tcACmF">duboisAndPrade(alpha:<wbr>)</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<pre class="highlight swift"><code><span class="k">case</span> <span class="nf">duboisAndPrade</span><span class="p">(</span><span class="nv">alpha</span><span class="p">:</span> <span class="kt">Double</span><span class="p">)</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO5yageryACSd_tcACmF"></a>
|
||
<a name="//apple_ref/swift/Element/yager(p:)" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO5yageryACSd_tcACmF">yager(p:<wbr>)</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<pre class="highlight swift"><code><span class="k">case</span> <span class="nf">yager</span><span class="p">(</span><span class="nv">p</span><span class="p">:</span> <span class="kt">Double</span><span class="p">)</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO5frankyACSd_tcACmF"></a>
|
||
<a name="//apple_ref/swift/Element/frank(lambda:)" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO5frankyACSd_tcACmF">frank(lambda:<wbr>)</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<pre class="highlight swift"><code><span class="k">case</span> <span class="nf">frank</span><span class="p">(</span><span class="nv">lambda</span><span class="p">:</span> <span class="kt">Double</span><span class="p">)</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO6customyACS2d_SdtccACmF"></a>
|
||
<a name="//apple_ref/swift/Element/custom(_:)" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO6customyACS2d_SdtccACmF">custom(_:<wbr>)</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<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="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>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:9FuzzySets13TNormFunctionO8functionyS2d_Sdtcvp"></a>
|
||
<a name="//apple_ref/swift/Property/function" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:9FuzzySets13TNormFunctionO8functionyS2d_Sdtcvp">function</a>
|
||
</code>
|
||
</div>
|
||
<div class="height-container">
|
||
<div class="pointer-container"></div>
|
||
<section class="section">
|
||
<div class="pointer"></div>
|
||
<div class="abstract">
|
||
<p>Undocumented</p>
|
||
|
||
</div>
|
||
<div class="declaration">
|
||
<h4>Declaration</h4>
|
||
<div class="language">
|
||
<p class="aside-title">Swift</p>
|
||
<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="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>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
</ul>
|
||
</div>
|
||
</section>
|
||
</section>
|
||
<section id="footer">
|
||
<p>© 2022 <a class="link" href="" target="_blank" rel="external noopener">Alexander Ignatov</a>. All rights reserved. (Last updated: 2022-02-08)</p>
|
||
<p>Generated by <a class="link" href="https://github.com/realm/jazzy" target="_blank" rel="external noopener">jazzy ♪♫ v0.14.1</a>, a <a class="link" href="https://realm.io" target="_blank" rel="external noopener">Realm</a> project.</p>
|
||
</section>
|
||
</article>
|
||
</div>
|
||
</body>
|
||
</html>
|