A Soft Set Theoretic Framework for the Structured Classification of Fuzzy Semigroup Subsets

Abstract

The framework of soft sets for ordered classification of fuzzy semigroups subsets is initiated in this paper. We define two new classes of fuzzy subsets in a semigroup using soft sets operations and investigate the algebraic properties with respect to their union and intersection. We also obtain the relatedness of soft set conditions with certain classes of fuzzy subsets in semigroups, viz.,fuzzy soft sub(ideals/filters). This exercise gives a common framework for such type of complicated constructions which appeared in the context of fuzzy semigroup theory. Key Words: Soft set theory, fuzzy semigroup, fuzzy soft subsets, algebraic classification, semigroup theory.