f swg-CLOSED SET AND ITS APPLICATIONS

摘要

In this paper, a new type of generalized version of closure operator which is an idempotent operator in a fuzzy topological space is introduced by using f swg-closed set (Bhattacharyya, 2017) as a basic tool. Then using this new operator, fswg-open function and fswg-closed function are introduced and characterized. Afterwards, fswg-continuous function, f swg-irresolute function, strongly f swg-continuous function and f swg-strongly continuous function are introduced and studied. Again we introduce f swg-regular space and f swg-normal space. It is shown that in f sT_g-space, fuzzy regularity (Hutton and Reilly, 1980), fuzzy normality (Hutton, 1975) remain invariant under fswg-continuous function and fuzzy regular space and fuzzy normal space become fswg-regular space and fswg-normal space respectively under strongly f swg-continuous function. Lastly, some applications of f swg-continuous functions, f swg-irresolute function, strongly f swg-continuous function and f swg-strongly continuous function on the above mentioned spaces are shown.