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A NEW TYPE OF CLOSURE-LIKE OPERATOR VIA FUZZY SEMIOPEN SETS


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 XXX

Section:

Volume 30, Number 1

Abstract:

This paper deals with a new type of closure operator in fuzzy topological spaces, called sc-closure operator, which is an idempotent operator. Then the mutual relationships of this operator with the operators defined in [2, 3, 4, 6, 9, 10] are established. Afterwards, a new type of separation axiom is introduced and studied here. In every space with this axiom assumed fuzzy semiclosure operator and this new operator are identical. In the last section some characterizations of sc -closure operator have been done via fuzzy net.

Keywords:

Fuzzy semiopen set, fuzzy sc -closure operator, fuzzy regular open set, fuzzy preopen set, fuzzy sc -regular space, sc -convergence of a fuzzy net.

Code [ID]:

SSRSMI202001V30S01A0003 [0005281]

Note:

Full paper:

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