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2 changes: 1 addition & 1 deletion dev/.documenter-siteinfo.json
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{"documenter":{"julia_version":"1.11.1","generation_timestamp":"2024-11-10T09:49:45","documenter_version":"1.7.0"}}
{"documenter":{"julia_version":"1.11.1","generation_timestamp":"2024-11-10T09:58:36","documenter_version":"1.7.0"}}
2 changes: 1 addition & 1 deletion dev/dataenvelop/index.html
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0.9715662650602411
0.9911164465786314
1.0
0.9841048789857857</code></pre><p><strong>References</strong></p><p>İşletmeciler, Mühendisler ve Yöneticiler için Operasyonel, Yönetsel ve Stratejik Problemlerin Çözümünde Çok Kriterli Karar verme Yöntemleri, Editörler: Bahadır Fatih Yıldırım ve Emrah Önder, Dora, 2. Basım, 2015, ISBN: 978-605-9929-44-8</p><div class="admonition is-warning"><header class="admonition-header">Dependencies</header><div class="admonition-body"><p>This method is enabled when the JuMP and Ipopt packages are installed and loaded.</p></div></div></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/JMcDM/blob/a3e389b3d7c7c95eafc75a7b5697edc1b1edb9cd/src/dataenvelop.jl#L19-L82">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../game/">« Game Solver</a><a class="docs-footer-nextpage" href="../scdm/">SCDM »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Sunday 10 November 2024 09:49">Sunday 10 November 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
0.9841048789857857</code></pre><p><strong>References</strong></p><p>İşletmeciler, Mühendisler ve Yöneticiler için Operasyonel, Yönetsel ve Stratejik Problemlerin Çözümünde Çok Kriterli Karar verme Yöntemleri, Editörler: Bahadır Fatih Yıldırım ve Emrah Önder, Dora, 2. Basım, 2015, ISBN: 978-605-9929-44-8</p><div class="admonition is-warning"><header class="admonition-header">Dependencies</header><div class="admonition-body"><p>This method is enabled when the JuMP and Ipopt packages are installed and loaded.</p></div></div></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/JMcDM/blob/b2d5ebdf2d1f05d213a8e85e2a09e1bd93d8c6ab/src/dataenvelop.jl#L19-L82">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../game/">« Game Solver</a><a class="docs-footer-nextpage" href="../scdm/">SCDM »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Sunday 10 November 2024 09:58">Sunday 10 November 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
2 changes: 1 addition & 1 deletion dev/game/index.html
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Probabilities:
[0.3333333333333333, 0.3333333333333333, 0.3333333333333333]
Value of game:
0.0</code></pre><p><strong>References</strong></p><p>Zhou, Hai-Jun. &quot;The rock–paper–scissors game.&quot; Contemporary Physics 57.2 (2016): 151-163.</p><div class="admonition is-warning"><header class="admonition-header">Dependencies</header><div class="admonition-body"><p>This method is enabled when the JuMP and Ipopt packages are installed and loaded.</p></div></div></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/JMcDM/blob/a3e389b3d7c7c95eafc75a7b5697edc1b1edb9cd/src/game.jl#L20-L69">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../normalizations/">« Normalization Methods</a><a class="docs-footer-nextpage" href="../dataenvelop/">Data Envelopment »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Sunday 10 November 2024 09:49">Sunday 10 November 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
0.0</code></pre><p><strong>References</strong></p><p>Zhou, Hai-Jun. &quot;The rock–paper–scissors game.&quot; Contemporary Physics 57.2 (2016): 151-163.</p><div class="admonition is-warning"><header class="admonition-header">Dependencies</header><div class="admonition-body"><p>This method is enabled when the JuMP and Ipopt packages are installed and loaded.</p></div></div></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/JMcDM/blob/b2d5ebdf2d1f05d213a8e85e2a09e1bd93d8c6ab/src/game.jl#L20-L69">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../normalizations/">« Normalization Methods</a><a class="docs-footer-nextpage" href="../dataenvelop/">Data Envelopment »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Sunday 10 November 2024 09:58">Sunday 10 November 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
6 changes: 3 additions & 3 deletions dev/greynumbers/index.html
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GreyNumber(1, 2)

julia&gt; whitenizate(g)
1.5</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/JMcDM/blob/a3e389b3d7c7c95eafc75a7b5697edc1b1edb9cd/src/greynumber.jl#L282-L304">source</a></section></article><h2 id="kernel"><a class="docs-heading-anchor" href="#kernel">kernel</a><a id="kernel-1"></a><a class="docs-heading-anchor-permalink" href="#kernel" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="JMcDM.GreyNumbers.kernel" href="#JMcDM.GreyNumbers.kernel"><code>JMcDM.GreyNumbers.kernel</code></a><span class="docstring-category">Function</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">kernel(g::GreyNumber)::Float64</code></pre><p><strong>Description</strong></p><p>Calculate the kernel of a grey number</p><p><strong>Arguments</strong></p><ul><li><code>g::GreyNumber</code>: A grey number</li></ul><p><strong>Examples</strong></p><pre><code class="language-julia hljs">julia&gt; g = GreyNumber(1, 2)
1.5</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/JMcDM/blob/b2d5ebdf2d1f05d213a8e85e2a09e1bd93d8c6ab/src/greynumber.jl#L282-L304">source</a></section></article><h2 id="kernel"><a class="docs-heading-anchor" href="#kernel">kernel</a><a id="kernel-1"></a><a class="docs-heading-anchor-permalink" href="#kernel" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="JMcDM.GreyNumbers.kernel" href="#JMcDM.GreyNumbers.kernel"><code>JMcDM.GreyNumbers.kernel</code></a><span class="docstring-category">Function</span><span class="is-flex-grow-1 docstring-article-toggle-button" title="Collapse docstring"></span></header><section><div><pre><code class="language-julia hljs">kernel(g::GreyNumber)::Float64</code></pre><p><strong>Description</strong></p><p>Calculate the kernel of a grey number</p><p><strong>Arguments</strong></p><ul><li><code>g::GreyNumber</code>: A grey number</li></ul><p><strong>Examples</strong></p><pre><code class="language-julia hljs">julia&gt; g = GreyNumber(1, 2)
GreyNumber(1, 2)

julia&gt; kernel(g)
1.5</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/JMcDM/blob/a3e389b3d7c7c95eafc75a7b5697edc1b1edb9cd/src/greynumber.jl#L254-L276">source</a></section></article><h1 id="MCDM-Tools-with-Grey-Numbers"><a class="docs-heading-anchor" href="#MCDM-Tools-with-Grey-Numbers">MCDM Tools with Grey Numbers</a><a id="MCDM-Tools-with-Grey-Numbers-1"></a><a class="docs-heading-anchor-permalink" href="#MCDM-Tools-with-Grey-Numbers" title="Permalink"></a></h1><h2 id="Grey-Topsis"><a class="docs-heading-anchor" href="#Grey-Topsis">Grey Topsis</a><a id="Grey-Topsis-1"></a><a class="docs-heading-anchor-permalink" href="#Grey-Topsis" title="Permalink"></a></h2><pre><code class="language-julia hljs">decmat = [
1.5</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/jbytecode/JMcDM/blob/b2d5ebdf2d1f05d213a8e85e2a09e1bd93d8c6ab/src/greynumber.jl#L254-L276">source</a></section></article><h1 id="MCDM-Tools-with-Grey-Numbers"><a class="docs-heading-anchor" href="#MCDM-Tools-with-Grey-Numbers">MCDM Tools with Grey Numbers</a><a id="MCDM-Tools-with-Grey-Numbers-1"></a><a class="docs-heading-anchor-permalink" href="#MCDM-Tools-with-Grey-Numbers" title="Permalink"></a></h1><h2 id="Grey-Topsis"><a class="docs-heading-anchor" href="#Grey-Topsis">Grey Topsis</a><a id="Grey-Topsis-1"></a><a class="docs-heading-anchor-permalink" href="#Grey-Topsis" title="Permalink"></a></h2><pre><code class="language-julia hljs">decmat = [
GreyNumber(1.0, 2.0) GreyNumber(2.0, 3.0) GreyNumber(3.0, 4.0);
GreyNumber(2.0, 3.0) GreyNumber(1.0, 2.0) GreyNumber(3.0, 4.0);
GreyNumber(3.0, 4.0) GreyNumber(2.0, 3.0) GreyNumber(1.0, 2.0)
Expand All @@ -50,4 +50,4 @@
# 3-element Vector{Any}:
# GreyNumber(0.2350699228751952, 0.83613099715003)
# GreyNumber(0.24317523558639148, 1.002942207810138)
# GreyNumber(0.10851899761349458, 1.23913068959885) </code></pre><h2 id="Other-tools"><a class="docs-heading-anchor" href="#Other-tools">Other tools</a><a id="Other-tools-1"></a><a class="docs-heading-anchor-permalink" href="#Other-tools" title="Permalink"></a></h2><p>Since the required arithmetic operators and logical operators are implemented for the Grey Number type, all of the MCDM methods perform in the same way as their real-valued counterparts. So </p><pre><code class="language-julia hljs">mcdm_method(decmat, weights, fns)</code></pre><p>is applicable for <code>mcdm_method</code> can be topsis, waspas, edas, copras, etc. </p><h3 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h3><ul><li><p>Liu, S., Fang, Z., Yang, Y., &amp; Forrest, J. (2012). General grey numbers and their operations. Grey Systems: Theory and Application, 2(3), 341-349.</p></li><li><p>Bhunia, Asoke Kumar, and Subhra Sankha Samanta. &quot;A study of interval metric and its application in multi-objective optimization with interval objectives.&quot; Computers &amp; Industrial Engineering 74 (2014): 169-178.</p></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../utility/">« Utility</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Sunday 10 November 2024 09:49">Sunday 10 November 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
# GreyNumber(0.10851899761349458, 1.23913068959885) </code></pre><h2 id="Other-tools"><a class="docs-heading-anchor" href="#Other-tools">Other tools</a><a id="Other-tools-1"></a><a class="docs-heading-anchor-permalink" href="#Other-tools" title="Permalink"></a></h2><p>Since the required arithmetic operators and logical operators are implemented for the Grey Number type, all of the MCDM methods perform in the same way as their real-valued counterparts. So </p><pre><code class="language-julia hljs">mcdm_method(decmat, weights, fns)</code></pre><p>is applicable for <code>mcdm_method</code> can be topsis, waspas, edas, copras, etc. </p><h3 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h3><ul><li><p>Liu, S., Fang, Z., Yang, Y., &amp; Forrest, J. (2012). General grey numbers and their operations. Grey Systems: Theory and Application, 2(3), 341-349.</p></li><li><p>Bhunia, Asoke Kumar, and Subhra Sankha Samanta. &quot;A study of interval metric and its application in multi-objective optimization with interval objectives.&quot; Computers &amp; Industrial Engineering 74 (2014): 169-178.</p></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../utility/">« Utility</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Sunday 10 November 2024 09:58">Sunday 10 November 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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