Issue:

SSRSMI, Number 2, Volume XXVI

Section:

Volume 26, Number 2

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.

Keywords:

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.

Code [ID]:

SSRSMI201602V26S01A0007 [0004500]

Full paper:

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