On Fuzzy Soft Groups

Abstract

Molodtsov introduced the concept of soft set theory which can be used as generic mathematical tool for dealing with uncertainty. In this paper, we discuss fuzzy soft sets algebraic structure and give the definition of fuzzy soft group. We define operations on fuzzy soft groups and prove some results on them. Furthermore, definitions of fuzzy soft function and fuzzy soft homomorphism are defined and the theorems on homomorphic image and homomorphic pre image are given. After that, the definition of normal fuzzy soft group is given and some of its basic properties are studied.