New Notions In Fuzzy Ideal Topological Spaces

Abstract

The aim of the present paper is to introduce a fuzzy αAB-set, fuzzy ∆ set, fuzzy  set, fuzzy pre* -  open set, fuzzy strongly pre* -  open set, fuzzy βI* open set. Also, introduce the class of fuzzy stronglypre* - I – open sets which is strictly placed between the class of all fuzzy pre – I – open and the class of all fuzzy pre* - I – open subsets of X. The Concepts of weakly fuzzy γ - I –open sets, weakly fuzzy semi – I open sets are used via idealization. Furthermore, some properties, characterizations and implications of several generalizations of fuzzy open sets are discussed. New Decomposition of fuzzy α--open set,fuzzy α -set and fuzzy β--closed set are obtained by using the above sets