El-Algebra in Soft Sets

Abstract

A soft set can be calculated by a set-valued mapping that assigns precisely one crisp subset of the universe to each parameter. In 1998, X. Liu gave Axiomatic Fuzzy set structure and El-algebra. They pointed out that ordinary fuzzy concepts or human concepts can be represented through any molecular or atomic fuzzy concepts in El-algebra over any finite set of fuzzy concepts. However, this isn't the only way to represent transitive human ideas. The definition of soft sets was extended to El-algebra in this article by taking El-algebra as universe of discourse in soft sets, and certain properties of soft El-algebras were investigated. We also introduced homomorphism between two El-algebras.