Fuzzy soft gamma rings

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainities, has been extensively studied by many authors. This theory has been applied to many different fields such as function smoothness, Riemann and Perron integration, measurement theory, game theory, decision making. Maji et al pointed out several directions information systems etc. which contain uncertainities. They also analised several operations on the theory of soft sets. In this thesis, firstly basic information about the fuzzy soft set has been given. Then, we attempt to study fuzzy soft ring theory by using fuzzy soft sets. We introduce fuzzy soft rings generated by fuzzy soft sets, by using some algebraic operator intersection, union, AND, OR on this structure and generalize to give some properties of them. We study definition of fuzzy soft ideal and derive some results on them. Consequently fuzzy soft gamma ring are introduced and homomorphic image and inverse image are given and show to provide the structure of fuzzy soft gamma ring related to these structures.