On an Algebra of Fuzzy m-ary Semihypergroups

Abstract

In this paper we deals with the fuzzy m-ary semihypergroups, fuzzy hyperideals and homomorphism theorems on m-ary semihypergroups and fuzzy m-ary semihypergroups. We also, introduce and study some classes of fuzzy hyperideals that of pure fuzzy, weakly pure fuzzy hyperideals in m-ary semihypergroups and some properties of them are investigated. We identify those m-ary semihypergroups for which every fuzzy hyperideal is idempotent. We also characterize the m-ary semihypergroups for which every fuzzy hyperideal is weakly pure fuzzy.