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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 IFS", Volume 2 (1996) Number 1, pages 11—14
Download:  PDF (3430  Kb, 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.
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  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.
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  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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