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http://ifigenia.org/wiki/issue:nifs/13/4/1-4
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Title of paper:
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On a new intuitionistic fuzzy implication of Gaines-Rescher's type
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Author(s):
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Beloslav Riečan
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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
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riecan@fpv.umb.sk , riecan@mat.savba.sk
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Krassimir Atanassov
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CLBME-Bulgarian Academy of Sciences, P.O. Box 12, Sofia-1113, Bulgaria
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krat@bas.bg
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Presented at:
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3rd International Workshop on Intuitionistic Fuzzy Sets, 3 October 2007, Banská Bystrica, Slovakia.
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Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 13, Number 4, pages 1—4
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Download:
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PDF (61 Kb, File info)
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Abstract:
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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.
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References:
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- Atanassov, K. Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
- Atanassov, K. Theory and Applications. Springer Physica-Verlag, Heidelberg, 1999.
- 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.
- Atanassov, K. On some intuitionistic fuzzy implications. Comptes Rendus de l'Academie bulgare des Sciences, Tome 59, 2006, No. 1, 19-24.
- 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.
- Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
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Citations:
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