Issue:

SSRSMI, Number 1, Volume XXIX

Section:

Volume 29, Number 1

Abstract:

This paper deals with a generalized version of fuzzy closed sets in fuzzy m-spaces [2]. Using this concept as a basic tool, we introduce a generalized version of closed and open functions in fuzzy m-spaces. Several characterizations of these functions are proved. Moreover, a generalized version of continuity in fuzzy m-space is introduced and studied. Afterwards, several applications of this type of function are given in the study of general-ized versions of fuzzy regular, fuzzy normal and fuzzy compact spaces, in the setting of fuzzy m-spaces.

Keywords:

Fuzzy m-closed set, fuzzy generalized m-closed set, fuzzy generalized m-continuous function, fuzzy m-open q-neighbourhood, fuzzy generalized m-regular and m-normal spaces, fuzzy generalized m-compact space.

Code [ID]:

SSRSMI201901V29S01A0002 [0005069]

Note:

DOI:

Full paper:

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