Fuzzy soft sets and fuzzy soft groups

Abstract

In this paper we study Molodtsovpsilas notion of soft sets and fuzzy soft sets considering the fact that the parameters (which are words or sentences) are mostly fuzzy hedges or fuzzy parameters. We discuss fuzzy soft setspsila algebraic structure and give the definition of fuzzy soft group. We define operations on fuzzy soft groups and prove some results on them. Finally, we present fuzzy normal soft subgroups and fuzzy soft homomorphism and discussed their properties.