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Issue:On the possibility for intuitionistic fuzzy interpretations of modal logic axioms

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Title of paper: On the possibility for intuitionistic fuzzy interpretations of modal logic axioms
Author(s):
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, P.O.Box 12, Sofia-1113, Bulgaria
krat@bgcict.acad.bg    (current: krat@bas.bg)
Presented at: 5th International Conference on Intuitionistic Fuzzy Sets, held on 22-23 September 2001 in Sofia, Bulgaria.
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 7, Number 3, pages 33-38
Download:  PDF (104  Kb, File info)
Abstract: Intuitionistic fuzzy interpretations of the axioms of the modal logics S1, S2, S3, S4, S5, K, T and B are discussed.
Keywords: Axiom, Intuitionistic fuzzy logic, Modal logic
References:
  1. Atanassov K., Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
  2. Atanassov K., Two variants of intuitionistic fuzzy modal logic. Preprint IM-MFAIS-3-89, Sofia, 1989.
  3. Atanassov K., Gargov G., Intuitionistic fuzzy logic. Comptes Rendus de l'Academie bulgare des Sciences, Tome 43, 1990, No. 3, 9-12.
  4. Gargov G., Atanassov K., Two results in intuitionistic fuzzy logic, Comptes Rendus de l'Academie bulgare des Sciences, Tome 45, 1992, No. 12, 29-31.
  5. Atanassov K., Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Berlin, 1999.
  6. Sobolev S., Modal logic, in "Mathematical Enciclopedy", Vol. 3, Moskow, Soviet Union Enciclopedy, 1982 (in Russian).
  7. Feys R., Modal logics, Paris, 1965.
  8. Mendelson E., Introduction to mathematical logic, Princeton, NJ: D. Van Nostrand, 1964.
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