Fuzzy Left Almost Semihyperring

Abstract

The left almost semihyperring (LA) is an algebraic hyperstructure satisfying two axioms, these are the left inverse hyperoperation and the distributive axiom between multiplication and addition hyperoperation. In this article, the concept of fuzzy sets is applied to these structures so that we get a new algebraic structure, and it is called fuzzy left almost semihyperring. We show that the set of all fuzzy subsets in LA-semihyperring is also LA-semihyperring. Furthermore, the LA-subsemihyperring and hyperideal fuzzy properties and their relationship to the characteristic function and level set are analyzed.