On Some Results about Bipolar Soft Ideals of Gamma Near-rings

With the advancement of scientific studies, problems involving uncertainty have emerged. Classical mathematics needed to be more robust to model or make sense of these uncertain problems. Due to this insufficiency, scientists have put forward new theories. One of them is the soft set theory, which Molodtsov first studied. Then, many researchers have done various studies in different fields using soft sets. In this study, bipolar soft ideals of a gamma near-ring were defined. Some basic properties of this algebraic structure have been analyzed. The bipolar soft coset set was determined with the help of bipolar soft ideals, and this set was shown to be a gamma near-ring. Finally, a function was defined with the help of bipolar soft ideals of a gamma near-ring, and this study concluded by showing that this function is a gamma near-ring epimorphism.