SOFT STRUCTURES DERIVED FROM GROUPS

Abstract

In this paper, we get soft structures what we call cyclicizer soft set, centralizer soft set, normalizer soft set, cosetial soft set, orbital soft set and stabilizer soft set using some group concepts such as cyclic, centralizer and normalizer of an element, coset and group action, in any given group. At the same time, we mentioned that they are a soft group. We discuss their soft set theoretic properties and give some theorems for groups. We proposed some necessary and sucient conditions for two groups to be isomorphic using the soft set theory. We give relation between similarity of soft sets and groups.