Ordered Left Almost ⋇-Semihypergroups Based on Fuzzy Sets

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.