On an algebra of fuzzy m-ary semihypergroups

Adrian Naço, Anila Peposhi, Kostaq Hila, Serkan Onar, Bayram Ali Ersoy

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.

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DOI: https://doi.org/10.52846/ami.v52i1.1978