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Issue:On the basic properties of the negations generated by some parametric intuitionistic fuzzy implications: Difference between revisions

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# Baczyński M., Jayaram B.:  Fuzzy implications. Springer, Berlin, 2008.
# Baczyński M., Jayaram B.:  Fuzzy implications. Springer, Berlin, 2008.
# Czogała E., Łęski J.: On equivalence of approximate reasoning results using different interpretations of fuzzy if-then rules. Fuzzy Sets and Systems 117, 279–296, 2001.
# Czogała E., Łęski J.: On equivalence of approximate reasoning results using different interpretations of fuzzy if-then rules. Fuzzy Sets and Systems 117, 279–296, 2001.
# Dworniczak P.: [http://www.cit.iit.bas.bg/CIT_2010/v10-3/3-9.pdf Some remarks about the L. Atanassova’s paper A new intuitionistic fuzzy implication]. Cybernetics and Information Technologies, 10, 3, 2010
# Dworniczak P.: [http://www.cit.iit.bas.bg/CIT_2010/v10-3/3-9.pdf Some remarks about the L. Atanassova’s paper A new intuitionistic fuzzy implication]. Cybernetics and Information Technologies, 10, 3, 2010.
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Revision as of 15:16, 1 May 2011

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http://ifigenia.org/wiki/issue:nifs/17/1/23-29
Title of paper: On the basic properties of the negations generated by some parametric intuitionistic fuzzy implications
Author(s):
Piotr Dworniczak
Department of Applied Mathematics, University of Economics, al. Niepodległości 10, 60-967 Poznań, Poland
p.dworniczak@ue.poznan.pl
Published in: "Notes on IFS", Volume 17 (2010) Number 1, pages 23—29
Download:  PDF (173  Kb, File info)
Abstract: In this paper a class of intuitionistic parametric fuzzy implications and negations generated by them are presented. Fulfillment of some properties together with the Law of Excluded Middle and De Morgan’s Law are investigated.
Keywords: Negation, Intuitionistic fuzzy implication, Law of Excluded Middle, De Morgan’s Law.
References:
  1. Atanassov K.T.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96, 1986.
  2. Atanassov K.T.: On some intuitionistic fuzzy negations. NIFS, 11, 6, 13-20, 2005.
  3. Atanassov K.T.: On the Intuitionistic Fuzzy Implications and Negations. Studies in Computational Intelligence (SCI) 109, 381–394, 2008.
  4. Atanassova L.: On some properties of intuitionistic fuzzy negation ¬@. NIFS, 15, 1, 32–35, 2009.
  5. Baczyński M., Jayaram B.: Fuzzy implications. Springer, Berlin, 2008.
  6. Czogała E., Łęski J.: On equivalence of approximate reasoning results using different interpretations of fuzzy if-then rules. Fuzzy Sets and Systems 117, 279–296, 2001.
  7. Dworniczak P.: Some remarks about the L. Atanassova’s paper A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 10, 3, 2010.
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