Quick search
Go!

A NEW TYPE OF REGULAR SPACE VIA FUZZY PREOPEN 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 2, Volume XXXI

Section:

Volume 31, Number 2

Abstract:

In this paper we introduce a new closure-like operator in fuzzy topological spaces, via fuzzy preopen sets. Then mutual relationships of this operator with several closure opera-tors in fuzzy topological spaces, studied in [2, 3, 4, 6, 7, 8, 11, 12] are established. The newly introduced operator is idempotent in fuzzy spaces satisfying some regularity prop-erty with respect to this operator, but it is not idempotent in general. Some characteriza-tions of the new operator via nets are given in the last section.

Keywords:

Fuzzy preopen set, fuzzy p^c-closure operator, fuzzy semiopen set, fuzzy β-open set, fuzzy p^c-regular space, p^c-convergence of a fuzzy net.

Code [ID]:

SSRSMI202102V31S01A0007 [0005409]

Note:

Full paper:

Download pdf


Copyright (c) 1995-2007 University of Bacău