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Two new intuitionistic fuzzy implications

Krassimir T. Atanassov|Trifon A. Trifonov
장전수학회 (Jangjeon Mathematical Society)|2006.07|Advanced Studies in Contemporary Mathematics|제13권 제1호|pp. 69-74

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Abstract

Two new intutionistic fuzzy implications are constructed. Their relations with some forms of Modus Ponens, Klir and Yuan's axioms and intuitionistic logic axioms are studied. The intuitionistic fuzzy negations generated by the two implications are constructed and some of their properties are discussed.

참고문헌 (11)

  1. Atanassov, K., "Two variants of intuitionistic fuzzy propositional calculus(Preprint IM-MFAIS-5-88, Sofia)", ~ (1988)
  2. Atanassov, K, "Intuitionistic Fuzzy Sets" (1999), Springer Physica-Verlag, Heidelberg
  3. Atanassov, K., "Intuitionistic fuzzy implications and Modus Ponens", Notes on Intuitionistic Fuzzy Sets, 11(1), pp.1~5 (2005)
  4. Atanassov, K., "A new intuitionistic fuzzy implication from a modal type", Advanced Studies in Contemporary Mathematics, 12(1), pp.117~122 (2006)
  5. Atanassov, K., "On some intuitionistic fuzzy implications", Comptes Rendus del'Academie bulgare des Sciences, 59(1), pp.19~24 (2006)
  6. Atanassov, K, "On an intuitionistic fuzzy implication from a possibilistic type", Advanced Studies in Contemporary Mathematics, 12(1), pp.111~116 (2006)
  7. Atanassov, K, "On eight new intuitionistic fuzzy implications", IEEE Conf. Intelligent Systems'2006, London(in press)
  8. Atanassov, K, "Towards combining two kinds of intuitionistic fuzzy sets", Notes on Intuitionistic Fuzzy Sets, 11(2), pp.1~11 (2005)
  9. Atanassov, K.,, "On a new intuitionistic fuzzy implication from GÄodel's type", Proceedings of the Jangjeon Mathematical Society, 8(2), pp.147~152 (2005)
  10. Klir, G, "Fuzzy Sets and Fuzzy Logic" (1995), Prentice Hall, New Jersey
  11. Rasiova, H., "The Mathematics of Metamathematics" (1963), Warszawa, Pol. Acad. of Sci.

관련 논문AI추천

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