IJPAM: Volume 96, No. 2 (2014)

$s$$^{*}$-CLOSURE OPERATOR AND
$s^{*}$-REGULARITY IN FUZZY SETTING

Anjana Bhattacharyya
Department of Mathematics
Victoria Institution (College)
78 B, A.P.C. Road
Kolkata, 700009, INDIA


Abstract. In this paper a new type of fuzzy regularity, viz. fuzzy $s^{*}$-regularity has been introduced and studied by introducing a newly defined closure operator, viz.,$s^{*}$-closure operator. Also we have found the mutual relationship among other closure operators defined earlier. In Section 4, it has been shown that $s^{*}$-closure operator is an idempotent operator in fuzzy $s^{*}$-regular space and in the last section some characterizations of $s^{*}$-closure operator have been done via fuzzy net.

Received: July 1, 2014

AMS Subject Classification: 54A40, 54D99

Key Words and Phrases: fuzzy $s^{*}$-closure operator, fuzzy $s^{*}$-closed set, fuzzy $s^{*}$-regular space, $s^{*}$-convergence of a fuzzy net

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DOI: 10.12732/ijpam.v96i2.9 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 2
Pages: 279 - 288


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