479 lines
22 KiB
HTML
479 lines
22 KiB
HTML
<!DOCTYPE html>
|
||
<html lang="en">
|
||
<head>
|
||
<title>ImplicationMethod 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/ImplicationMethod" class="dashAnchor"></a>
|
||
<a title="ImplicationMethod 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=""/>
|
||
ImplicationMethod 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>ImplicationMethod</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">ImplicationMethod</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
<p>Describes a function used for forming a fuzzy implication.</p>
|
||
|
||
<p>A function <code>I</code> must satisfy the following axioms in order to be called a fuzzy implication:</p>
|
||
|
||
<ol>
|
||
<li>Boundary condition: <code>S(1, 1) = 1</code>, <code>S(1, 0) = 0</code>, <code>S(0, 0) = 1</code></li>
|
||
<li>Non-increasing <code>y</code>: <code>If x_1 <= x_2 Then I(x_1, y) >= I(x_2, y)</code></li>
|
||
<li>Non-decreasing <code>x</code>: <code>If y_1 <= y_2 Then I(x, y_1) <= I(x, y_2)</code></li>
|
||
</ol>
|
||
|
||
</section>
|
||
<section class="section task-group-section">
|
||
<div class="task-group">
|
||
<ul>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:10FuzzyLogic17ImplicationMethodO6larsenyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/larsen" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO6larsenyA2CmF">larsen</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">larsen</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:10FuzzyLogic17ImplicationMethodO11lukasiewiczyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/lukasiewicz" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO11lukasiewiczyA2CmF">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:10FuzzyLogic17ImplicationMethodO7mamdaniyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/mamdani" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO7mamdaniyA2CmF">mamdani</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">mamdani</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:10FuzzyLogic17ImplicationMethodO14standardStrictyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/standardStrict" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO14standardStrictyA2CmF">standardStrict</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">standardStrict</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:10FuzzyLogic17ImplicationMethodO6goedelyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/goedel" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO6goedelyA2CmF">goedel</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">goedel</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:10FuzzyLogic17ImplicationMethodO6gainesyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/gaines" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO6gainesyA2CmF">gaines</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">gaines</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:10FuzzyLogic17ImplicationMethodO12kleeneDienesyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/kleeneDienes" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO12kleeneDienesyA2CmF">kleeneDienes</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">kleeneDienes</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:10FuzzyLogic17ImplicationMethodO15kleeneDienesLukyA2CmF"></a>
|
||
<a name="//apple_ref/swift/Element/kleeneDienesLuk" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO15kleeneDienesLukyA2CmF">kleeneDienesLuk</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">kleeneDienesLuk</span></code></pre>
|
||
|
||
</div>
|
||
</div>
|
||
</section>
|
||
</div>
|
||
</li>
|
||
<li class="item">
|
||
<div>
|
||
<code>
|
||
<a name="/s:10FuzzyLogic17ImplicationMethodO6customyACS2d_SdtccACmF"></a>
|
||
<a name="//apple_ref/swift/Element/custom(_:)" class="dashAnchor"></a>
|
||
<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO6customyACS2d_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>
|
||
</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>
|