Anti Fuzzy Deductive Systems of BL-Algebras

Authors:
Cyrille Nganteu Tchikapa
Affiliations:
Department of Mathematics, GHS of Batchenga, Batchenga, Cameroon
Venue:
International Journal of Artificial Life Research
Year:
2012

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Abstract

The aim of this paper is to introduce the notion of anti fuzzy prime deductive system in BL-algebra and to investigate their properties. It is shown that the set of all deductive systems with the empty set of a BL-algebra X is equipotent to a quotient of the set of all anti fuzzy deductive systems of X. The anti fuzzy prime deductive system theorem of BL-algebras is also proved.