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	<title>Issue:Modifications of Łukasiewicz&#039;s intuitionistic fuzzy implication - Revision history</title>
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	<updated>2026-05-25T06:50:15Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://ifigenia.org/index.php?title=Issue:Modifications_of_%C5%81ukasiewicz%27s_intuitionistic_fuzzy_implication&amp;diff=10982&amp;oldid=prev</id>
		<title>Vassia Atanassova at 10:10, 27 October 2021</title>
		<link rel="alternate" type="text/html" href="https://ifigenia.org/index.php?title=Issue:Modifications_of_%C5%81ukasiewicz%27s_intuitionistic_fuzzy_implication&amp;diff=10982&amp;oldid=prev"/>
		<updated>2021-10-27T10:10:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&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 13:10, 27 October 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-l7&quot;&gt;Line 7:&lt;/td&gt;
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&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;  | author          = Alžbeta &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Michálková &lt;/del&gt;&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;  | author          = Alžbeta &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Michalíková &lt;/ins&gt;&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;  | institution     = Faculty of Natural Sciences, Matej Bel University&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;  | institution     = Faculty of Natural Sciences, Matej Bel University&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;  | address         = Tajovského 40, Banská Bystrica, Slovakia&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;  | address         = Tajovského 40, Banská Bystrica, Slovakia&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=Issue:Modifications_of_%C5%81ukasiewicz%27s_intuitionistic_fuzzy_implication&amp;diff=10972&amp;oldid=prev</id>
		<title>Vassia Atanassova at 09:56, 26 October 2021</title>
		<link rel="alternate" type="text/html" href="https://ifigenia.org/index.php?title=Issue:Modifications_of_%C5%81ukasiewicz%27s_intuitionistic_fuzzy_implication&amp;diff=10972&amp;oldid=prev"/>
		<updated>2021-10-26T09:56:05Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&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 12:56, 26 October 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-l43&quot;&gt;Line 43:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 43:&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. (2017). Intuitionistic Fuzzy Logics, Springer, Cham, 2017.&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. (2017). Intuitionistic Fuzzy Logics, Springer, Cham, 2017.&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. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.&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. (2013). &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Issue:&lt;/ins&gt;On intuitionistic fuzzy pairs&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|On intuitionistic fuzzy pairs]]&lt;/ins&gt;. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.&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;# Dworniczak, P., Atanassova, L., &amp;amp; Angelova, N. Modal type of weak intuitionistic fuzzy implications generated by the operation △. Cybernetics and Information Technologies (submitted)&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., Atanassova, L., &amp;amp; Angelova, N. Modal type of weak intuitionistic fuzzy implications generated by the operation △. Cybernetics and Information Technologies (submitted)&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;# Feys, R. (1965). Modal Logics. Gauthier-Villars, Paris.&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;# Feys, R. (1965). Modal Logics. Gauthier-Villars, Paris.&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=Issue:Modifications_of_%C5%81ukasiewicz%27s_intuitionistic_fuzzy_implication&amp;diff=10960&amp;oldid=prev</id>
		<title>Velin S. Andonov: Created page with &quot;{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}...&quot;</title>
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		<updated>2021-10-25T23:14:05Z</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           = Modifications of Łukasiewicz’s intuitionistic fuzzy implication&lt;br /&gt;
 | shortcut        = nifs/27/3/32-39&lt;br /&gt;
}}&lt;br /&gt;
{{issue/author&lt;br /&gt;
 | author          = Alžbeta Michálková &lt;br /&gt;
 | institution     = Faculty of Natural Sciences, Matej Bel University&lt;br /&gt;
 | address         = Tajovského 40, Banská Bystrica, Slovakia&lt;br /&gt;
 | institution-2   = Mathematical Institute, Slovak Academy of Sciences&lt;br /&gt;
 | address-2       = Ďumbierska 1, Banská Bystrica, Slovakia&lt;br /&gt;
 | email-before-at = alzbeta.michalikova&lt;br /&gt;
 | email-after-at  = umb.sk&lt;br /&gt;
}}&lt;br /&gt;
{{issue/author&lt;br /&gt;
 | author          = Eulalia Szmidt&lt;br /&gt;
 | institution     = Systems Research Institute, Polish Academy of Sciences&lt;br /&gt;
 | address         = Newelska 6, 01 – 447 Warsaw, Poland&lt;br /&gt;
 | institution-2   = Warsaw School of Information Technology&lt;br /&gt;
 | address-2       = ul. Newelska 6, 01 – 447 Warsaw, Poland&lt;br /&gt;
 | email-before-at = szmidt&lt;br /&gt;
 | email-after-at  = ibspan.waw.pl&lt;br /&gt;
}}&lt;br /&gt;
{{issue/author&lt;br /&gt;
 | author          = Peter Vassilev&lt;br /&gt;
 | institution     = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences&lt;br /&gt;
 | address         = 105 Acad. Georgi Bonchev Str., 1113 Sofia, Bulgaria&lt;br /&gt;
 | email-before-at = peter.vassilev&lt;br /&gt;
 | email-after-at  = gmail.com&lt;br /&gt;
}}&lt;br /&gt;
{{issue/data&lt;br /&gt;
 | issue           = [[Notes on Intuitionistic Fuzzy Sets/27/3|Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3]], pages 32–39&lt;br /&gt;
 | doi             = https://doi.org/10.7546/nifs.2021.27.3.32-39&lt;br /&gt;
 | file            = NIFS-27-3-32-39.pdf&lt;br /&gt;
 | format          = PDF&lt;br /&gt;
 | size            = 167&lt;br /&gt;
 | abstract        =  In [6], G. Klir and B. Yuan named after J. Łukasiewicz the implication &amp;lt;math&amp;gt;p \rightarrow q = min(1, p+q)&amp;lt;/math&amp;gt;. In a series of papers, 198 different intuitionistic fuzzy implications have been introduced, and their basic properties have been studied. Here we introduce six new implications which are modifications of Łukasiewicz’s intuitionistic fuzzy implication, and we describe and prove some of their properties.&lt;br /&gt;
 | keywords        = Intuitionistic fuzzy implication, Intuitionistic fuzzy set, Łukasiewicz’s fuzzy implication.&lt;br /&gt;
 | ams             = 03E72.&lt;br /&gt;
 | references      = &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. (2017). Intuitionistic Fuzzy Logics, Springer, Cham, 2017.&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;
# Dworniczak, P., Atanassova, L., &amp;amp; Angelova, N. Modal type of weak intuitionistic fuzzy implications generated by the operation △. Cybernetics and Information Technologies (submitted)&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;
# Mendelson, E. (1964). Introduction to Mathematical Logic, Princeton, NJ: D. Van Nostrand; Fourt Ed. 2001.&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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