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On an intuitionistic fuzzy implication from Kleene-Dienes type

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A new intuitonistic fuzzy implication is constructed. Its relation with Modus Ponens, Klir and Yuan's axioms and intuitionistic logic axioms are studied.

Abstract

A new intuitonistic fuzzy implication is constructed. Its relation with Modus Ponens, Klir and Yuan's axioms and intuitionistic logic axioms are studied.

참고문헌 (18)

  1. Two variants of intuitonistc fuzzy propositional calculus, "Atanassov K.", So¯a, ~, pp.IM-MFAIS-5-88 (1988)
  2. Atanassov, K., "Intuitionistic Fuzzy Sets" (1999), Springer Physica-Verlag
  3. Atanassov, K., "Remarks on the conjunctions, disjunctions and implications of the intuitionistic fuzzy logic", Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, 9(1), pp.55~65 (2001)
  4. Atanassov, K., "Intuitionistic fuzzy implications and Modus Ponens", Notes on Intuitionistic Fuzzy Sets, 11(1), pp.1~5 (2005)
  5. Atanassov, K., "On some types of intuitionistic fuzzy negations", Notes on Intuitionistic Fuzzy Sets, 11(4), pp.170~172 (2005)
  6. Atanassov, K., "A new intuitionistic fuzzy implication from a modal type", Advanced Studies in Contemporary Mathematics, 12(1), pp.117~122 (2006)
  7. Atanassov, K., "On some intuitionistic fuzzy implications", Comptes Rendus de l'Academie bulgare des Sciences, 59(1), pp.19~24 (2006)
  8. Atanassov, K., "On intuitionistic fuzzy negations and De Morgan's laws", Proc. of Eleventh International Conf. IPMU 2006, pp.2355~2362 (2006)
  9. Atanassov, K., "On eight new intuitionistic fuzzy implications", Proc. of 3rd Int. IEEE Conf. "Intelligent Systems" IS06, pp.741~746 (2006)
  10. Atanassov, K., "On intuitionistic fuzzy negations, In Computational Intelligence, Theory and Applications", pp.159~167 (2006), Springer
  11. Atanassov, K., "Intuitionistic fuzzy implication !" and intuitionistic fuzzy negation :". Issues in Intuitionistic Fuzzy Sets and Generalized Nets. Vol. 6", pp.6~19 (2007), Warsaw School of Information Technology
  12. Atanassov, K., "Intuitionistic fuzzy implication !";´ and intuitionistic fuzzy negation :";´. Issues in Intuitionistic Fuzzy Sets and Generalized Nets. Vol. 7", Warsaw School of Information Technology
  13. Atanassov, K., "On an intuitionistic fuzzy implication from a possibilistic type", Advanced Studies in Contemporary Mathematics, 12(1), pp.111~116 (2006)
  14. Atanassov, K., "On a new intuitionistic fuzzy implication from GÄodel's type", Proceedings of the Jangjeon Mathematical Society, 8(2), pp.147~152 (2005)
  15. Dimitrov, D., "On intuitionistic logic axioms and intuitionistic fuzzy implications and negations. Issues in Intuitionistic Fuzzy Sets and Generalized Nets. Vol. 7", Warsaw School of Information Technology
  16. Klir, G., "Fuzzy Sets and Fuzzy Logic" (1995), Prentice Hall
  17. Mendelson, E., "Introduction to mathematical logic" (1964)
  18. Rasiova H., "The Mathematics of Metamathematics" (1963), Pol. Acad. of Sci

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