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Issue:On a new intuitionistic fuzzy implication of Gaines-Rescher's type

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Title of paper: On a new intuitionistic fuzzy implication of Gaines-Rescher's type
Author(s):
Beloslav Riečan
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava
riecan@fpv.umb.skriecan@mat.savba.sk
Krassimir Atanassov
CLBME-Bulgarian Academy of Sciences, P.O. Box 12, Sofia-1113, Bulgaria
krat@bas.bg
Presented at: 3rd International Workshop on Intuitionistic Fuzzy Sets, 3 October 2007, Banská Bystrica, Slovakia.
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 13, Number 4, pages 1—4
Download:  PDF (61  Kb, Info)
Abstract: A new intuitionistic fuzzy implication from a Gaines-Rescher's type is constructed. Its relation with some forms of Modus Ponens, and Klir and Yuan's axioms are studied.


References:
  1. Atanassov, K. Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
  2. Atanassov, K. Theory and Applications. Springer Physica-Verlag, Heidelberg, 1999.
  3. Atanassov, K. Remarks on the conjunctions, disjunctions and implications of the intuitionistic fuzzy logic. Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 9, 2001, No. 1, 55-65.
  4. Atanassov, K. On some intuitionistic fuzzy implications. Comptes Rendus de l'Academie bulgare des Sciences, Tome 59, 2006, No. 1, 19-24.
  5. Atanassov K, Kolev K. (2006) On an intuitionistic fuzzy implication from a possibilistic type. In: Advanced Studies in Contemporary Mathematics, Vol. 12, No. 1, 111-116.
  6. Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
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