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	<title>Research on intuitionistic fuzzy implications - Revision history</title>
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		<id>https://ifigenia.org/index.php?title=Research_on_intuitionistic_fuzzy_implications&amp;diff=10742&amp;oldid=prev</id>
		<title>Velin S. Andonov at 19:39, 21 August 2021</title>
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		<updated>2021-08-21T19:39:00Z</updated>

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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:39, 21 August 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l36&quot;&gt;Line 36:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 36:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., &amp;amp; Atanassov, K. (2015). Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic. In: Proc. of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1578–1584.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., &amp;amp; Atanassov, K. (2015). Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic. In: Proc. of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1578–1584.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., &amp;amp; Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms. Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets, Advances in Intelligent Systems and Computing, 401. Atanassov, K.T., Castillo, O., Kacprzyk, J., Krawczak, M., Melin, P., Sotirov, S., Sotirova, E., Szmidt, E., De Tre, G., Zadrozny, S. (Eds.), 97–110.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., &amp;amp; Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms. Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets, Advances in Intelligent Systems and Computing, 401. Atanassov, K.T., Castillo, O., Kacprzyk, J., Krawczak, M., Melin, P., Sotirov, S., Sotirova, E., Szmidt, E., De Tre, G., Zadrozny, S. (Eds.), 97–110.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., Marinov, E., &amp;amp; Atanassov, K. (2015). Intuitionistic fuzzy implications and Kolmogorov’s and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lukasiewicz–Tarski’s &lt;/del&gt;axioms of logic. Notes on Intuitionistic Fuzzy Sets, 21 (2), 35–42.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., Marinov, E., &amp;amp; Atanassov, K. (2015). Intuitionistic fuzzy implications and Kolmogorov’s and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Łukasiewicz–Tarski’s &lt;/ins&gt;axioms of logic. Notes on Intuitionistic Fuzzy Sets, 21 (2), 35–42.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (1988). Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (1988). Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2005). On some intuitionistic fuzzy negations. Proc. of the First Int. Workshop on IFSs, Banska Bystrica, 22 Sept. 2005. Notes on Intuitionistic Fuzzy Sets, 11(6), 13–20.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2005). On some intuitionistic fuzzy negations. Proc. of the First Int. Workshop on IFSs, Banska Bystrica, 22 Sept. 2005. Notes on Intuitionistic Fuzzy Sets, 11(6), 13–20.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l61&quot;&gt;Line 61:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 61:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2015). On Fodor’s type of intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21 (2), 25–34.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2015). On Fodor’s type of intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21 (2), 25–34.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2016). New Fodor’s Type Of Intuitionistic Fuzzy Implication and Negation. Notes on Intuitionistic Fuzzy Sets, 22 (3), 1–8.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2016). New Fodor’s Type Of Intuitionistic Fuzzy Implication and Negation. Notes on Intuitionistic Fuzzy Sets, 22 (3), 1–8.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2017). On intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;187&amp;lt;/sub&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt;. Notes on Intuitionistic Fuzzy Sets, 23 (2), 37–43.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2017). On intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;187&amp;lt;/sub&amp;gt;. Notes on Intuitionistic Fuzzy Sets, 23 (2), 37–43.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2017). On intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;188&amp;lt;/sub&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt;. Notes on Intuitionistic Fuzzy Sets, 23 (1), 6–13.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2017). On intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;188&amp;lt;/sub&amp;gt;. Notes on Intuitionistic Fuzzy Sets, 23 (1), 6–13.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., Kacprzyk, J., &amp;amp; Angelova, N. (2019). Intuitionistic fuzzy implications revisited. Part 1. Notes on Intuitionistic Fuzzy Sets, 25(3), 71–78.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., Szmidt, E., Kacprzyk, J., &amp;amp; Angelova, N. (2019). Intuitionistic fuzzy implications revisited. Part 1. Notes on Intuitionistic Fuzzy Sets, 25(3), 71–78.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., &amp;amp; Trifonov, T. (2005). On a new intuitionistic fuzzy implication of Godel’s type. Proceedings of the Jangjeon Mathematical Society, 8 (2), 147–152.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K., &amp;amp; Trifonov, T. (2005). On a new intuitionistic fuzzy implication of Godel’s type. Proceedings of the Jangjeon Mathematical Society, 8 (2), 147–152.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l80&quot;&gt;Line 80:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 80:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassova, L. (2015) Remark on Dworniczak’s intuitionistic fuzzy implications. Part 2. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 61–67.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassova, L. (2015) Remark on Dworniczak’s intuitionistic fuzzy implications. Part 2. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 61–67.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassova, L. (2016). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 22 (1), 1–6.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassova, L. (2016). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 22 (1), 1–6.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassova, L. (2017). Intuitionistic fuzzy implication &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;!&lt;/del&gt;189. Notes on Intuitionistic Fuzzy Sets, 2 (1), 14–20.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassova, L. (2017). Intuitionistic fuzzy implication &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;→&amp;lt;sub&amp;gt;&lt;/ins&gt;189&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/sub&amp;gt;&lt;/ins&gt;. Notes on Intuitionistic Fuzzy Sets, 2 (1), 14–20.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassova, L. (2017). Properties of the intuitionistic fuzzy implication &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;!&lt;/del&gt;189. Notes on Intuitionistic Fuzzy Sets, 23 (4), 10–14.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassova, L. (2017). Properties of the intuitionistic fuzzy implication &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;→&amp;lt;sub&amp;gt;&lt;/ins&gt;189&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/sub&amp;gt;&lt;/ins&gt;. Notes on Intuitionistic Fuzzy Sets, 23 (4), 10–14.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Dworniczak, P. (2010). Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”. Cybernetics and Information Technologies, 10 (3), 3–9.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Dworniczak, P. (2010). Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”. Cybernetics and Information Technologies, 10 (3), 3–9.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Dworniczak, P. (2010). On one class of intuitionistic fuzzy implications. Cybernetics and Information Technologies, 10 (4), 13–21.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Dworniczak, P. (2010). On one class of intuitionistic fuzzy implications. Cybernetics and Information Technologies, 10 (4), 13–21.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Velin S. Andonov</name></author>
	</entry>
	<entry>
		<id>https://ifigenia.org/index.php?title=Research_on_intuitionistic_fuzzy_implications&amp;diff=10739&amp;oldid=prev</id>
		<title>Vassia Atanassova at 15:16, 21 August 2021</title>
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		<updated>2021-08-21T15:16:45Z</updated>

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&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:16, 21 August 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l34&quot;&gt;Line 34:&lt;/td&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N. (2019). IFSTOOL - Software for intuitionistic fuzzy sets – Necessity, Possibility and Circle operators. Advances in Intelligent Systems and Computing,issue:1081, Springer, 76–81.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N. (2019). IFSTOOL - Software for intuitionistic fuzzy sets – Necessity, Possibility and Circle operators. Advances in Intelligent Systems and Computing,issue:1081, Springer, 76–81.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., &amp;amp; Atanassov, K. (2015). Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic. In:Proc. of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1578–1584.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., &amp;amp; Atanassov, K. (2015). Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic. In: Proc. of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1578–1584.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., &amp;amp; Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms.Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets, Advances in Intelligent Systems and Computing, 401. Atanassov, K.T., Castillo, O., Kacprzyk, J., Krawczak, M., Melin, P., Sotirov, S., Sotirova, E., Szmidt, E., De &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Tr´e&lt;/del&gt;, G., &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Zadro˙zny&lt;/del&gt;, S. (Eds.), 97–110.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., &amp;amp; Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms. Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets, Advances in Intelligent Systems and Computing, 401. Atanassov, K.T., Castillo, O., Kacprzyk, J., Krawczak, M., Melin, P., Sotirov, S., Sotirova, E., Szmidt, E., De &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Tre&lt;/ins&gt;, G., &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Zadrozny&lt;/ins&gt;, S. (Eds.), 97–110.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., Marinov, E., &amp;amp; Atanassov, K. (2015). Intuitionistic fuzzy implications and Kolmogorov’s and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lukasiewisz–Tarski’s &lt;/del&gt;axioms of logic. Notes on Intuitionistic Fuzzy Sets, 21 (2), 35–42.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Angelova, N., Marinov, E., &amp;amp; Atanassov, K. (2015). Intuitionistic fuzzy implications and Kolmogorov’s and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lukasiewicz–Tarski’s &lt;/ins&gt;axioms of logic. Notes on Intuitionistic Fuzzy Sets, 21 (2), 35–42.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (1988). Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (1988). Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2005). On some intuitionistic fuzzy negations. Proc. of the First Int. Workshop on IFSs, Banska Bystrica, 22 Sept. 2005. Notes on Intuitionistic Fuzzy Sets, 11(6), 13–20.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2005). On some intuitionistic fuzzy negations. Proc. of the First Int. Workshop on IFSs, Banska Bystrica, 22 Sept. 2005. Notes on Intuitionistic Fuzzy Sets, 11(6), 13–20.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2006). On some intuitionistic fuzzy implications. Comptes Rendus de l’Academie bulgare des Sciences, 59 (1), 19–24.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2006). On some intuitionistic fuzzy implications. Comptes Rendus de l’Academie bulgare des Sciences, 59 (1), 19–24.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2006). A new intuitionistic fuzzy implication from a modal type. Advanced Studies on Contemporary Mathematics, 12 (1), 117–122.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2006). A new intuitionistic fuzzy implication from a modal type. Advanced Studies on Contemporary Mathematics, 12 (1), 117–122.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2006). On eight new intuitionistic fuzzy implications. Proc. of 3rd Int. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;IEEEConf&lt;/del&gt;. “Intelligent Systems” IS06, London, 4-6 Sept. 2006, 741–746.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2006). On eight new intuitionistic fuzzy implications. Proc. of 3rd Int. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;IEEE Conf&lt;/ins&gt;. “Intelligent Systems” IS06, London, 4-6 Sept. 2006, 741–746.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2008). On intuitionistic fuzzy implication →&amp;lt;sup&amp;gt;ε&amp;lt;/sup&amp;gt; and intuitionistic fuzzy negation ¬&amp;lt;sup&amp;gt;ε&amp;lt;/sup&amp;gt;. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 6, 6–19.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2008). On intuitionistic fuzzy implication →&amp;lt;sup&amp;gt;ε&amp;lt;/sup&amp;gt; and intuitionistic fuzzy negation ¬&amp;lt;sup&amp;gt;ε&amp;lt;/sup&amp;gt;. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 6, 6–19.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2008). Intuitionistic fuzzy implication →&amp;lt;sup&amp;gt;ε,η&amp;lt;/sup&amp;gt; and intuitionistic fuzzy negation ¬&amp;lt;sup&amp;gt;ε,η&amp;lt;/sup&amp;gt;. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, 1, 1–10.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# Atanassov, K. (2008). Intuitionistic fuzzy implication →&amp;lt;sup&amp;gt;ε,η&amp;lt;/sup&amp;gt; and intuitionistic fuzzy negation ¬&amp;lt;sup&amp;gt;ε,η&amp;lt;/sup&amp;gt;. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, 1, 1–10.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Vassia Atanassova</name></author>
	</entry>
	<entry>
		<id>https://ifigenia.org/index.php?title=Research_on_intuitionistic_fuzzy_implications&amp;diff=10738&amp;oldid=prev</id>
		<title>Vassia Atanassova at 15:14, 21 August 2021</title>
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		<updated>2021-08-21T15:14:49Z</updated>

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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:14, 21 August 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l28&quot;&gt;Line 28:&lt;/td&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | format          = PDF&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | format          = PDF&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | size            = 289&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | size            = 289&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | abstract        = Currently in the theories of intuitionistic fuzzy sets, logics and pairs, there are 198 different implications. Here, we check the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;relationship &lt;/del&gt;between every two of them.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | abstract        = Currently in the theories of intuitionistic fuzzy sets, logics and pairs, there are 198 different implications. Here, we check the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;relationships &lt;/ins&gt;between every two of them.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | keywords        = Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy set.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | keywords        = Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy set.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | ams             =   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  | ams             =   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Vassia Atanassova</name></author>
	</entry>
	<entry>
		<id>https://ifigenia.org/index.php?title=Research_on_intuitionistic_fuzzy_implications&amp;diff=10733&amp;oldid=prev</id>
		<title>Velin S. Andonov: Created page with &quot;{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}...&quot;</title>
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		<updated>2021-08-20T22:28:25Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&lt;a href=&quot;/wiki/Category:Publications_on_intuitionistic_fuzzy_sets&quot; title=&quot;Category:Publications on intuitionistic fuzzy sets&quot;&gt;{{PAGENAME}}&lt;/a&gt; &lt;a href=&quot;/wiki/Category:Publications_in_Notes_on_IFS&quot; title=&quot;Category:Publications in Notes on IFS&quot;&gt;{{PAGENAME}}&lt;/a&gt; &lt;a href=&quot;/wiki/Category:Publications_in_2021_year&quot; title=&quot;Category:Publications in 2021 year&quot;&gt;{{PAGENAME}}&lt;/a&gt;...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]&lt;br /&gt;
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]&lt;br /&gt;
[[Category:Publications in 2021 year|{{PAGENAME}}]]&lt;br /&gt;
{{issue/title&lt;br /&gt;
 | title           = Research on intuitionistic fuzzy implications&lt;br /&gt;
 | shortcut        = nifs/27/2/20-93&lt;br /&gt;
}}&lt;br /&gt;
{{issue/author&lt;br /&gt;
 | author          = Nora Angelova&lt;br /&gt;
 | institution     = Faculty of Mathematics and Informatics, Sofia University&lt;br /&gt;
 | address         = 5 James Bourchier Blvd., 1164 Sofia, Bulgaria&lt;br /&gt;
 | email-before-at = noraa&lt;br /&gt;
 | email-after-at  = fmi.uni-sofia.bg&lt;br /&gt;
}}&lt;br /&gt;
{{issue/author&lt;br /&gt;
 | author          = Krassimir Atanassov&lt;br /&gt;
 | institution     = Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences&lt;br /&gt;
 | address         = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria&lt;br /&gt;
 | institution-2  = Intelligent Systems Laboratory, Prof. Dr. Asen Zlatarov University&lt;br /&gt;
 | address-2       = 8010 Burgas, Bulgaria&lt;br /&gt;
 | email-before-at = krat&lt;br /&gt;
 | email-after-at  = bas.bg&lt;br /&gt;
}}&lt;br /&gt;
{{issue/data&lt;br /&gt;
 | issue           = [[Notes on Intuitionistic Fuzzy Sets/27/2|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 2]], pages 20–93&lt;br /&gt;
 | doi             = https://doi.org/10.7546/nifs.2021.27.2.20-93&lt;br /&gt;
 | file            = NIFS-27-2-20-93.pdf&lt;br /&gt;
 | format          = PDF&lt;br /&gt;
 | size            = 289&lt;br /&gt;
 | abstract        = Currently in the theories of intuitionistic fuzzy sets, logics and pairs, there are 198 different implications. Here, we check the relationship between every two of them.&lt;br /&gt;
 | keywords        = Intuitionistic fuzzy implication, Intuitionistic fuzzy pair, Intuitionistic fuzzy set.&lt;br /&gt;
 | ams             =  &lt;br /&gt;
 | references      = &lt;br /&gt;
&lt;br /&gt;
# Angelova, N. (2019). IFSTOOL - Software for intuitionistic fuzzy sets – Necessity, Possibility and Circle operators. Advances in Intelligent Systems and Computing,issue:1081, Springer, 76–81.&lt;br /&gt;
# Angelova, N., &amp;amp; Atanassov, K. (2015). Intuitionistic Fuzzy Implications and the Axioms of Intuitionistic Logic. In:Proc. of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1578–1584.&lt;br /&gt;
# Angelova, N., &amp;amp; Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms.Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets, Advances in Intelligent Systems and Computing, 401. Atanassov, K.T., Castillo, O., Kacprzyk, J., Krawczak, M., Melin, P., Sotirov, S., Sotirova, E., Szmidt, E., De Tr´e, G., Zadro˙zny, S. (Eds.), 97–110.&lt;br /&gt;
# Angelova, N., Marinov, E., &amp;amp; Atanassov, K. (2015). Intuitionistic fuzzy implications and Kolmogorov’s and Lukasiewisz–Tarski’s axioms of logic. Notes on Intuitionistic Fuzzy Sets, 21 (2), 35–42.&lt;br /&gt;
# Atanassov, K. (1988). Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia.&lt;br /&gt;
# Atanassov, K. (2005). On some intuitionistic fuzzy negations. Proc. of the First Int. Workshop on IFSs, Banska Bystrica, 22 Sept. 2005. Notes on Intuitionistic Fuzzy Sets, 11(6), 13–20.&lt;br /&gt;
# Atanassov, K. (2006). On some intuitionistic fuzzy implications. Comptes Rendus de l’Academie bulgare des Sciences, 59 (1), 19–24.&lt;br /&gt;
# Atanassov, K. (2006). A new intuitionistic fuzzy implication from a modal type. Advanced Studies on Contemporary Mathematics, 12 (1), 117–122.&lt;br /&gt;
# Atanassov, K. (2006). On eight new intuitionistic fuzzy implications. Proc. of 3rd Int. IEEEConf. “Intelligent Systems” IS06, London, 4-6 Sept. 2006, 741–746.&lt;br /&gt;
# Atanassov, K. (2008). On intuitionistic fuzzy implication →&amp;lt;sup&amp;gt;ε&amp;lt;/sup&amp;gt; and intuitionistic fuzzy negation ¬&amp;lt;sup&amp;gt;ε&amp;lt;/sup&amp;gt;. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 6, 6–19.&lt;br /&gt;
# Atanassov, K. (2008). Intuitionistic fuzzy implication →&amp;lt;sup&amp;gt;ε,η&amp;lt;/sup&amp;gt; and intuitionistic fuzzy negation ¬&amp;lt;sup&amp;gt;ε,η&amp;lt;/sup&amp;gt;. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, 1, 1–10.&lt;br /&gt;
# Atanassov, K. (2011). Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets. 17 (3), 11–14.&lt;br /&gt;
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.&lt;br /&gt;
# Atanassov, K. (2015). On a New Intuitionistic Fuzzy Implication. In: Proc of the 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), 30.06-03.07.2015, Gijon, Spain, 1592–1597.&lt;br /&gt;
# Atanassov, K. (2016). On intuitionistic fuzzy implications, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, 1–19.&lt;br /&gt;
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics, Springer, Cham.&lt;br /&gt;
# Atanassov, K (2021). Third Zadeh’s Intuitionistic Fuzzy Implication. Mathematics, 9, 619. https://doi.org/10.3390/math9060619&lt;br /&gt;
# Atanassov, K., &amp;amp; Angelova, N. (2021). Modifications of the Third Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 27 (1), 9–23.&lt;br /&gt;
# Atanassov, K.,&amp;amp; Angelova, N. (2016). Properties of intuitionistic fuzzy implications and negations. Notes on Intuitionistic Fuzzy Sets, 22 (3) , 25–33.&lt;br /&gt;
# Atanassov, K., Angelova, N. &amp;amp; Atanassova, V. (2021). On an Intuitionistic Fuzzy Form of the Goguen’s Implication. Mathematics, 9, 676. https://doi.org/10.3390/math9060676&lt;br /&gt;
# Atanassov, K., &amp;amp; Dimitrov, D. (2010). Intuitionistic fuzzy implications and axioms for implications. Notes in Intuitionistic Fuzzy Sets, 16, (1), 10–20.&lt;br /&gt;
# Atanassov, K., &amp;amp; Kolev, B. (2006). On an intuitionistic fuzzy implication from a probabilistic type. Advanced Studies on Contemporary Mathematics, 12 (1), 111–116.&lt;br /&gt;
# Atanassov, K., S. Ribagin, L. Doukovska, &amp;amp; V. Atanassova (2017). Intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;190&amp;lt;/sub&amp;gt;. Notes on Intuitionistic Fuzzy Sets, 23 (4), 79–83.&lt;br /&gt;
# Atanassov, K., &amp;amp; Szmidt, E. (2014). Remark on intuitionistic fuzzy implication →&amp;lt;sup&amp;gt;ε,η&amp;lt;/sup&amp;gt;. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 9-14.&lt;br /&gt;
# Atanassov, K., Szmidt, E., &amp;amp; Angelova, N.(2017). Properties of the intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;187&amp;lt;/sub&amp;gt;. Notes on Intuitionistic Fuzzy Sets, 23 (3), 3–8.&lt;br /&gt;
# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19 (3), 1–13.&lt;br /&gt;
# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2015). On Fodor’s type of intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21 (2), 25–34.&lt;br /&gt;
# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2016). New Fodor’s Type Of Intuitionistic Fuzzy Implication and Negation. Notes on Intuitionistic Fuzzy Sets, 22 (3), 1–8.&lt;br /&gt;
# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2017). On intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;187&amp;lt;/sub&amp;gt;7. Notes on Intuitionistic Fuzzy Sets, 23 (2), 37–43.&lt;br /&gt;
# Atanassov, K., Szmidt, E., &amp;amp; Kacprzyk, J. (2017). On intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;188&amp;lt;/sub&amp;gt;7. Notes on Intuitionistic Fuzzy Sets, 23 (1), 6–13.&lt;br /&gt;
# Atanassov, K., Szmidt, E., Kacprzyk, J., &amp;amp; Angelova, N. (2019). Intuitionistic fuzzy implications revisited. Part 1. Notes on Intuitionistic Fuzzy Sets, 25(3), 71–78.&lt;br /&gt;
# Atanassov, K., &amp;amp; Trifonov, T. (2005). On a new intuitionistic fuzzy implication of Godel’s type. Proceedings of the Jangjeon Mathematical Society, 8 (2), 147–152.&lt;br /&gt;
# Atanassov, K., &amp;amp; Trifonov, T. (2006). Two new intuitionistic fuzzy implications. Advanced Studies on Contemporary Mathematics, 13 (1), 69–74.&lt;br /&gt;
# Atanassova, L. (2008). On an intuitionistic fuzzy implication from Kleene-Dienes type. Proceedings of the Jangjeon Mathematical Society, 11 (1), 69–74.&lt;br /&gt;
# Atanassova, L. (2008). Modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Advanced Studies in Contemporary Mathematics, 16 (2), 155–160.&lt;br /&gt;
# Atanassova, L. (2008). New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 2. Annual of Section “Informatics”, 1, 59–64.&lt;br /&gt;
# Atanassova, L. (2009). New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 3. Advanced Studies in Contemporary Mathematics, 18 (1), 33–40.&lt;br /&gt;
# Atanassova, L. (2009). A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 9 (2), 21–25.&lt;br /&gt;
# Atanassova, L. (2009). On some properties of intuitionistic fuzzy negation ¬&amp;lt;sub&amp;gt;@&amp;lt;/sub&amp;gt;. Notes on Intuitionistic Fuzzy Sets, 15 (1), 32–35.&lt;br /&gt;
# Atanassova, L. (2012). On two modifications of the intuitionistic fuzzy implication →&amp;lt;sub&amp;gt;@&amp;lt;/sub&amp;gt;. Notes on Intuitionistic Fuzzy Sets, 18 (2), 26–30.&lt;br /&gt;
# Atanassova, L. (2013). On the modal form of the intuitionistic fuzzy implications →&amp;#039;&amp;lt;sub&amp;gt;@&amp;lt;/sub&amp;gt; and →&amp;quot;&amp;lt;sub&amp;gt;@&amp;lt;/sub&amp;gt;. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 10, 5–11.&lt;br /&gt;
# Atanassova, L. (2013). On the intuitionistic fuzzy form of the classical implication (A → B) V (B → A). Notes on Intuitionistic Fuzzy Sets, 19 (4), 15–18.&lt;br /&gt;
# Atanassova, L. (2014). Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 1. Annual of Section “Informatics”, 7, 24–27.&lt;br /&gt;
# Atanassova, L. (2014). Remark on the intuitionistic fuzzy forms of two classical logic axioms. Part 2. Notes on Intuitionistic Fuzzy Sets, 20 (4), 10–13.&lt;br /&gt;
# Atanassova, L. (2015). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 1. Notes on Intuitionistic Fuzzy Sets, 21 (3), 18–23.&lt;br /&gt;
# Atanassova, L. (2015) Remark on Dworniczak’s intuitionistic fuzzy implications. Part 2. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 61–67.&lt;br /&gt;
# Atanassova, L. (2016). Remark on Dworniczak’s intuitionistic fuzzy implications. Part 3. Notes on Intuitionistic Fuzzy Sets, 22 (1), 1–6.&lt;br /&gt;
# Atanassova, L. (2017). Intuitionistic fuzzy implication !189. Notes on Intuitionistic Fuzzy Sets, 2 (1), 14–20.&lt;br /&gt;
# Atanassova, L. (2017). Properties of the intuitionistic fuzzy implication !189. Notes on Intuitionistic Fuzzy Sets, 23 (4), 10–14.&lt;br /&gt;
# Dworniczak, P. (2010). Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”. Cybernetics and Information Technologies, 10 (3), 3–9.&lt;br /&gt;
# Dworniczak, P. (2010). On one class of intuitionistic fuzzy implications. Cybernetics and Information Technologies, 10 (4), 13–21.&lt;br /&gt;
# Dworniczak, P. (2011). On some two-parametric intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17 (2), 8–16.&lt;br /&gt;
# Feys, R. (1965). Modal Logics. Gauthier-Villars, Paris.&lt;br /&gt;
# Klir, G., &amp;amp; Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey.&lt;br /&gt;
# Riecan, B., &amp;amp; Atanassov., K. (2007). On a new intuitionistic fuzzy implication of Gaines-Rescher’s type. Notes on Intuitionistic Fuzzy Sets, 13 (4), 1–4.&lt;br /&gt;
# Szmidt, E., Kacprzyk, J., &amp;amp; Atanassov, K. (2015). Modal forms of Fodor’s type of intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 21 (5), 1–5.&lt;br /&gt;
# Szmidt, E., Kacprzyk, J., &amp;amp; Atanassov, K. (2015). Properties of Fodor’s intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21 (4), 6–12.&lt;br /&gt;
# Vassilev, P., &amp;amp; Atanassov, K. (2019). Extensions and Modifications of Intuitionistic Fuzzy Sets. “Prof. Marin Drinov” Academic Publishing House, Sofia.&lt;br /&gt;
# Vassilev, P., Ribagin, S., &amp;amp; Kacprzyk, J. (2018). A remark on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 24 (2), 1–7.&lt;br /&gt;
 | citations       = &lt;br /&gt;
 | see-also        = &lt;br /&gt;
}}&lt;/div&gt;</summary>
		<author><name>Velin S. Andonov</name></author>
	</entry>
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