Article overview
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 setfuzzy semiopen setfuzzy $\beta$-open setfuzzy preopen setfuzzy $\delta^{c}$-closed setfuzzy $\gamma$-open setfuzzy almost regular space$\delta^{c}$-convergence of a fuzzy net.
AMS Subject Classification
54A40, 03E72.
Reference information
How to Cite
Anjana Bhattacharyya (2022). $\delta^{c}$-CLOSURE OPERATOR IN FUZZY SETTING. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 257-266.