$\delta^{c}$-CLOSURE OPERATOR IN FUZZY SETTING

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 28

Abstract

This paper deals with fuzzy regular open set [1]. Here a new type of fuzzy closure operator is introduced which is not an idempotent operator. First we characterize this operator by fuzzy open set. It is shown that this operator is distributed over union but not on intersection. Next we establish the mutual relationship of this operator with the operators defined in [2, 3, 4, 6, 7, 8, 9, 11]. Lastly, we show that in fuzzy almost regular space [14], this newly defined closure operator will be idempotent.

Keywords and Phrases

Fuzzy regular open set, fuzzy semiopen set, fuzzy $\beta$-open set, fuzzy preopen set, fuzzy $\delta^{c}$-closed set, fuzzy $\gamma$-open set, fuzzy almost regular space, $\delta^{c}$-convergence of a fuzzy net.

A.M.S. subject classification

54A40, 03E72.

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