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Issue:Intuitionistic fuzzy model of the axioms of the paraconsistent set theory NF1

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Title of paper: Intuitionistic fuzzy model of the axioms of the paraconsistent set theory NF1
Author(s):
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 105, Sofia-1113, Bulgaria
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 2 (1996) Number 1, pages 11—14
Download:  PDF (3430  Kb, File info)
Abstract: It is shown that the axioms of the paraconsistent set theory NF1 can he proved as theorems in the frames of the intuitionistic fuzzy logic.
AMS Classification: 0ЗЕ72
References:
  1. da Costa, N, C. A., de Alcantara L. P., On paraconsistent set theories, Boletin da Sociedade Paranaense de Matematica, Vol. 12/13 (1991/2), No. 1/2, 77-81
  2. da Costa, N. C. A., Sistemas formais inconsistentes, Thesis, Federal University of Parana, 1963.
  3. Atanassov K., Two variants of intuitonistic fuzzy prepositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
  4. Atanassov K., Two variants of intuitionistic fuzzy modal logic. Preprint IM-MFAIS-3-89, Sofia, 1989.
  5. Atanassov E., Gargov G,, Intuitionistic fuzzy logic, Compt. rend. Acad. bulg. Sci., Tome 43, N. 3, 1990, 9-12.
  6. Gargov G., Atanassov K., Two results in intuitionistic fuzzy logic, Compt. rend. Acad. bulg. Sci., Tome 45, N. 12, 1992, 29-31.
  7. Negoita C. , Ralescu D., Applications of fuzzy sets to systems analysis. BirKhauser, Basel, 1975.
  8. Dubois D., Prade H., Fuzzy logics and their generalized modus ponens revisited, Cybernetics and Systems, 1984, Vol. 15, No. 3-4, 293-331.
  9. Mendelson E. , Introduction to mathematical logic, Princeton, NJ: D. Van Nostrand, 1964.
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