Soft g-modules

The concept of soft set theory is introduced by Molodtsov to overcome uncertainties which cannot be dealt with by classical methods in many areas such as engineering, economics, medical science and social sciences. The Notion of G-module is very important for the theory of group representation. In particular, the G- module structure has been extensively used for the study of representations of finite groups. The aim of this thesis is to examine the Notion of soft G-modules. The thesis begins by giving history about the soft sets and uncertainties. In the second chapter, the basic concepts of soft set theory and related properties are given. In the third chapter, the notions of G-modules, reducibility, irreducibility and completely reducibility of G-modules are given and some of the basic properties of G-modules are observed. In the fourth chapter, the basic concepts of soft G-modules are given. In the last chapter; reducibility, irreducibility and completely reducibility of soft G-modules are given and some of their basic properties are observed.