Fuzzy P-sets and fuzzy P'-sets in fuzzy topological spaces
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In this paper, the notions of fuzzy P-sets and fuzzy P'-sets in fuzzy topological spaces are introduced and several characterizations of these sets are established. A condition for the existence of fuzzy σ-nowhere dense sets in fuzzy hyperconnected spaces is obtained by means of fuzzy P-sets. The conditions under which fuzzy co-σ-boundary sets and fuzzy closed sets in fuzzy perfectly disconnected spaces become fuzzy P'-sets are established. A condition for fuzzy closed Fσ-sets in fuzzy F'-spaces to become fuzzy P'-sets is also obtained in this paper.
Abstract
In this paper, the notions of fuzzy P-sets and fuzzy P'-sets in fuzzy topological spaces are introduced and several characterizations of these sets are established. A condition for the existence of fuzzy σ-nowhere dense sets in fuzzy hyperconnected spaces is obtained by means of fuzzy P-sets. The conditions under which fuzzy co-σ-boundary sets and fuzzy closed sets in fuzzy perfectly disconnected spaces become fuzzy P'-sets are established. A condition for fuzzy closed Fσ-sets in fuzzy F'-spaces to become fuzzy P'-sets is also obtained in this paper.
참고문헌 (25)
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