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Issue:Intuitionistic fuzzy implication →C and negation ¬C

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Title of paper: Intuitionistic fuzzy implication →C and negation ¬C
Author(s):
Krassimir Atanassov
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
krat@bas.bg
Presented at: 8th IWIFS, Sofia, 9 October 2012
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 4, pages 1—7
Download:  PDF (132  Kb, File info)
Abstract: A new type of intuitionistic fuzzy implication →C and negation ¬C are introduced in intuitionistic fuzzy logic and some of their properties are discussed. These new operations are extensions of the operations →ε,η and ¬ε,η
Keywords: Intuitionistic fuzzy logic, Quantifier, Topological operator.
AMS Classification: 03E72
References:
  1. Atanassov, K., On intuitionistic fuzzy implication →ε and intuitionistic fuzzy negation ¬ε. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 6, 2008, 6–19.
  2. Atanassov, K., Intuitionistic fuzzy implication →ε,μC(x) and intuitionistic fuzzy negation ¬ε,η. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. 1, 2008, 1–10.
  3. Atanassov, K. Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
  4. Atanassov, K. T., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  5. Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic, Prentice Hall, New Jersey, 1995.
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