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HTML
451 lines
21 KiB
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<a href="Structs/FuzzyRuleBase/FuzzyRuleBaseBuilder.html">– FuzzyRuleBaseBuilder</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>Enumerations</h1>
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<p>The following enumerations are available globally.</p>
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</section>
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<section class="section task-group-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:9FuzzySets13TNormFunctionO"></a>
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<a name="//apple_ref/swift/Enum/TNormFunction" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets13TNormFunctionO">TNormFunction</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>Describes a T-norm function, usually used for forming an intersection of fuzzy sets.</p>
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<p>A function <code>T</code> must satisfy the following axioms in order to be T-normed:</p>
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<ol>
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<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>
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<li>Commutativity: <code>T(a, b) = T(b, a)</code></li>
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<li>Monotonic: <code>If a <= a' and b <= b' Then T(a, b) <= T(a', b')</code></li>
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<li>Associativity: <code>T(T(a, b), c) = T(a, T(b, c))</code></li>
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</ol>
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<a href="Enums/TNormFunction.html" class="slightly-smaller">See more</a>
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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="kd">enum</span> <span class="kt">TNormFunction</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:9FuzzySets13SNormFunctionO"></a>
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<a name="//apple_ref/swift/Enum/SNormFunction" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets13SNormFunctionO">SNormFunction</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>Describes a S-norm (T-conorm) function, usually used for forming a union of fuzzy sets.</p>
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<p>A function <code>S</code> must satisfy the following axioms in order to be S-normed (T-conormed):</p>
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<ol>
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<li>Boundary condition: <code>S(1, 1) = 1</code>, <code>S(1, 0) = 1</code>, <code>S(0, 1) = 1</code>, <code>S(0, 0) = 0</code></li>
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<li>Commutativity: <code>S(a, b) = S(b, a)</code></li>
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<li>Monotonic: <code>If a <= a' and b <= b' Then S(a, b) <= S(a', b')</code></li>
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<li>Associativity: <code>S(T(a, b), c) = S(a, T(b, c))</code></li>
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</ol>
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<a href="Enums/SNormFunction.html" class="slightly-smaller">See more</a>
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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="kd">enum</span> <span class="kt">SNormFunction</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:9FuzzySets18ComplementFunctionO"></a>
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<a name="//apple_ref/swift/Enum/ComplementFunction" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets18ComplementFunctionO">ComplementFunction</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>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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<a href="Enums/ComplementFunction.html" class="slightly-smaller">See more</a>
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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="kd">enum</span> <span class="kt">ComplementFunction</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:9FuzzySets18DifferenceFunctionO"></a>
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<a name="//apple_ref/swift/Enum/DifferenceFunction" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets18DifferenceFunctionO">DifferenceFunction</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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<a href="Enums/DifferenceFunction.html" class="slightly-smaller">See more</a>
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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="kd">enum</span> <span class="kt">DifferenceFunction</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:9FuzzySets27SymmetricDifferenceFunctionO"></a>
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<a name="//apple_ref/swift/Enum/SymmetricDifferenceFunction" class="dashAnchor"></a>
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<a class="token" href="#/s:9FuzzySets27SymmetricDifferenceFunctionO">SymmetricDifferenceFunction</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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<a href="Enums/SymmetricDifferenceFunction.html" class="slightly-smaller">See more</a>
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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="kd">enum</span> <span class="kt">SymmetricDifferenceFunction</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:14FuzzyRelations17CompositionMethodO"></a>
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<a name="//apple_ref/swift/Enum/CompositionMethod" class="dashAnchor"></a>
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<a class="token" href="#/s:14FuzzyRelations17CompositionMethodO">CompositionMethod</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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<a href="Enums/CompositionMethod.html" class="slightly-smaller">See more</a>
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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="kd">enum</span> <span class="kt">CompositionMethod</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:10FuzzyLogic17ImplicationMethodO"></a>
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<a name="//apple_ref/swift/Enum/ImplicationMethod" class="dashAnchor"></a>
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<a class="token" href="#/s:10FuzzyLogic17ImplicationMethodO">ImplicationMethod</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>Describes a function used for forming a fuzzy implication.</p>
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<p>A function <code>I</code> must satisfy the following axioms in order to be called a fuzzy implication:</p>
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<ol>
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<li>Boundary condition: <code>S(1, 1) = 1</code>, <code>S(1, 0) = 0</code>, <code>S(0, 0) = 1</code></li>
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<li>Non-increasing <code>y</code>: <code>If x_1 <= x_2 Then I(x_1, y) >= I(x_2, y)</code></li>
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<li>Non-decreasing <code>x</code>: <code>If y_1 <= y_2 Then I(x, y_1) <= I(x, y_2)</code></li>
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</ol>
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||
|
||
<a href="Enums/ImplicationMethod.html" class="slightly-smaller">See more</a>
|
||
</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="kd">enum</span> <span class="kt">ImplicationMethod</span></code></pre>
|
||
|
||
</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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||
</ul>
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||
</div>
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||
</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>
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<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>
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||
</section>
|
||
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|
||
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|
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