Characterization of Topological Fuzzy Sets in Hausdorff Spaces

Transactions on Fuzzy Sets and Systems

مقاله 5، دوره 1، شماره 2، بهمن 2022، صفحه 32-36   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/tfss.2022.1955757.1020

نویسندگان

Benard Okelo^* ؛ Allan Onyango

Department of Pure and Applied Mathematics Jaramogi Oginga Odinga University of Science and Technology P. O. Box 210-40601, Bondo, Kenya

چکیده

In this paper, we have characterized big data fuzzy sets and shown that topological data points form singleton fuzzy sets which are closed. Besides, fuzzy sets of topological data points are compact and have at least one closed point. We have also shown that the fuzzy set of all condensation points of a fuzzy Hausdor  space is in nite and the cardinality of a topological data fuzzy set is also in nite and arbitrarily distributed in fuzzy Hausdor  spaces.

کلیدواژه‌ها

Fuzzy set؛ Fuzzy topological space؛ Fuzzy Hausdorff space؛ Topological Data point

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