Abstract
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.
Cuvinte cheie
fs*g-closed set
fgs*-closed set
fs*g-continuous function
fgs*-continuous function
fgs*-neighbourhood of a fuzzy point (fuzzy set)
fgs*-closed (open) function