On fuzzy $S^{*}N$ spaces
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In this paper, a new class of fuzzy topological spaces namely fuzzy $S^*N$-spaces is introduced by means of fuzzy simply* open sets. Several characterizations of fuzzy $S^*N$-spaces are obtained. The inter-relationships between fuzzy normal spaces, fuzzy semi normal spaces and fuzzy $S^*N$-spaces are established. The conditions, under which fuzzy $\partial^*$ spaces, fuzzy D-Baire spaces become fuzzy $S^*N$-spaces, are obtained in this paper.
Abstract
In this paper, a new class of fuzzy topological spaces namely fuzzy $S^*N$-spaces is introduced by means of fuzzy simply* open sets. Several characterizations of fuzzy $S^*N$-spaces are obtained. The inter-relationships between fuzzy normal spaces, fuzzy semi normal spaces and fuzzy $S^*N$-spaces are established. The conditions, under which fuzzy $\partial^*$ spaces, fuzzy D-Baire spaces become fuzzy $S^*N$-spaces, are obtained in this paper.