A Study of Fuzzy G ∗ − Continuous Maps in Fuzzy Topological Spaces

Abstract

The aim of this paper is to introduce new class of Fuzzy set, namely, fuzzy ???? ∗ - closed set in 
Fuzzy topological spaces (fts). This new class properly lies between the classes of g-closed 
and g* -closed fuzzy sets. Compared the fuzzy ???? ∗  - closed set with existing various fuzzy 
closed sets in fuzzy topological spaces. We studied fuzzy  ????− ∗ continuous mapping in Fuzzy 
topological spaces with necessary counter examples.  Further this work led to study 
homomorphism mapping in Fuzzy topological spaces.