fgs* - CLOSED SETS AND fgs*-CONTINUOUS FUNCTIONS IN FUZZY TOPO-LOGICAL SPACES
ANJANA BHATTACHARYYA Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road , Kolkata - 700009, INDIA
e-mail: anjanabhattacharyya@hotmail.com
In this paper, we introduce and study a new type of fuzzy generalized closed set and fuzzy generalized continuity in a fuzzy topological space. Also it is shown that fuzzy compactness and fuzzy normality remain invariant under this newly defined continuous function. Afterwards, a new type of fuzzy closure operator is introduced which is an idempotent operator which is distributive over union but not over intersection. Lastly, we introduce and characterize fgs*-closed (resp., fgs*-open) function which is weaker that of fgs-closed (resp. fgs-open) function.