Journal Article

·2025 OPEN ACCESS

On an algebra of fuzzy m-ary semihypergroups

Naço Adrian , Peposhi Anila , Kostaq Hila , Serkan Onar YTU , Bayram Alì Ersoy YTU

Annals of the University of Craiova Mathematics and Computer Science Series

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.

Keywords

Mathematics Homomorphism Fuzzy logic Idempotence Pure mathematics Computer science Artificial intelligence

Subject Areas

Fuzzy and Soft Set Theory ·Management Science and Operations Research ·Social Sciences
Advanced Algebra and Logic ·Computational Theory and Mathematics ·Physical Sciences