Fuzzy Mathematics (Fuzzy Sets)

Abstract

In this paper‚ we explore the aspects of important branch of fuzzy mathematics, by utilizing fuzzy theory. The field of fuzzy mathematics has been making rapid progress in recent years. Motivated by the practical success of fuzzy mathematics in many other branches, there has been an increasing amount of work on the rigorous theoretical studies of fuzzy sets. Firstly, we start this paper by introduction about branches of fuzzy theory and the history of fuzzy mathematics. In the second section of this paper we introduce the concept fuzzy sets. Additionally, a comparison between classical set theory and fuzzy set theory. Finally, we clarify the basic concepts associated with fuzzy set and study the operations on it.