Quick search
Go!

GENERALIZED CLOSED SET AND GENERALIZED CONTINUITY IN FUZZY M-SPACE


ANJANA BHATTACHARYYA
Victoria Institution (College), Department of Mathematics, 78B, A.P.C. Road, Kolkata-700009, INDIA
e-mail: anjanabhattacharyya@hotmail.com

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:

Download pdf


Copyright (c) 1995-2007 University of Bacău