Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets

Nabilah Abughazalah, Naveed Yaqoob and Tareq Al-shami

Journal of Mathematics, 2024, vol. 2024, 1-11

Abstract: The concept of an involution or anti-involution is a self-inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure theory, especially in ordered hyperstructures. In this research, we apply the concept of fuzzy sets to anti-involution hyperideals of ordered anti-involution LA-semihypergroups. We shall propose the mathematical formulation of fuzzy anti-involution hyperideals in ordered anti-involution LA-semihypergroups and provide some examples. This concept is a novel extension of fuzzy involution ordered semigroups.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4669760

DOI: 10.1155/2024/4669760

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