Soft sets and some soft algebraic structures

The thesis consists of six chapters. The first chapter has been reserved for the introduction.In the second chapter, preliminaries have been summarized mainly about the gamma rings and fuzzy sets.In the third chapter, soft sets and their basic properties have been given. In additional, concepts of soft set and fuzzy set have been compared.In the fourth and fifth chapters, soft groups, soft subgroups, normal soft subgroups, homomorphisms of soft groups, soft rings, soft subrings, soft ideals, idealistic soft rings, homomorphisms of soft rings and their basic properties have been investigated.Finally, in the sixth chapter, the properties of some known soft algebraic structures have been generalized to gamma rings. In this chapter, soft gamma rings, soft sub gamma rings, soft ideals, idealistic soft gamma rings, homomorphisms of soft gamma rings have been given and some of their basic properties have been obtained.