On Fuzzy  - Semi Open Sets and Fuzzy  - Semi Closed Sets in Fuzzy Topological Spaces

Abstract

The aim of this paper is to introduce the concept of fuzzy - semi open and fuzzy - semi closed sets of a fuzzy topological space. Some characterizations are discussed, examples are given and properties are established. Also, we define fuzzy - semi interior and fuzzy - semi closure operators. And we introduce fuzzy - t-set, -SO extremely disconnected space analyse the relations between them. MSC 2010: 54A40, 03E72. In this paper we introduce fuzzy -semi open sets and fuzzy -semi closed sets its properties are established in fuzzy topological spaces. The concepts that are needed in this paper are discussed in the second section. The concepts of fuzzy -semi open and fuzzy -semi closed sets in fuzzy topological spaces and studied their properties in the third and fourth section respectively. Using the fuzzy - semi open sets, we introduce the concept of fuzzy - SO extremely disconnected space. The section 5 and 6 are dealt with the concepts of fuzzy -semi interior and -semi closure operators. In the last section, we define fuzzy -t-sets and discuss the relations between this set and the sets defined previously.