الفهرس | Only 14 pages are availabe for public view |
Abstract Studying spaces plays a vital role in mathematics especially in topology as one of the most important tools for studying the topological properties and constructing new spaces from existing ones. In their turn, topologists pay great attention to introduce and study new topological concepts or to generalize these notions. In 1965, Zadeh [53] defined the concept of fuzzy set and then, many researches were made in fuzzy topology such as [11-14, 24-27, 36-38, 40-45,48,49, 51-52]. This notion has been extended by Atanassov[2] in 1983 to intuitionistic fuzzy set. Then, many studies have been done to study and use this concept such as [3-9, 16, 19-23]. Using this concept, in 1997, Coker[ 15] defined the intuitionistic fuzzy topological space and some papers in the same field of study appeared in the references [17,18, 28-30,39,46,47, 50]. As a continuation to the study of intuitionistic fuzzy topological spaces this thesis, consisting of an introductory chapter and other four chapters, is devoted to: (1) introduce and study the notions of intuitionistic fuzzy 9-(8-)closure operator. (2) initiate and discuss the new concept of semi e- continuity III intuitionistic fuzzy topological spaces. (3) construct and investigate a new type of compactness called intuitionistic fuzzy semi e- compactness. (4) define and study some new classes of semi-connectedness III intuitionistic fuzzy topological spaces. |