On The Fuzzy Implicative Ideal of a BH-Algebra

Abstract

Abstract:In this paper, we study a fuzzy implicative ideal of a BH-algebra. We give some properties of this fuzzy ideal and link it with other types of fuzzy ideals and fuzzy subset of a BH-algebra.

Relationship the Fuzzy P-Ideal with Some Fuzzy Subset of BH-Algebra

“…A(x)  min {A((x *z) *(y *z)),aA(y)}, ∀ x, y, z  X. Proposition(2.9): [5]Let X be a BH-algebra. Then every fuzzy pideal of X is fuzzy ideal of X.…”

“…Abbass and H.M.A.sSaeed generalized the notion of a fuzzy closed ideal, fuzzy p-ideal and fuzzy implicative ideal to a BH-algebra and BC A-part [4]. In 2014, H. H. Abbass and S. A. Neamah introduced the notion of a fuzzy implicative ideal with respect to an element of a BH-algebra [5].…”