Characterization of Topological Fuzzy Sets in Hausdorff Spaces

Abstract

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.

Keywords

• fuzzy set
• fuzzy topological space
• fuzzy hausdorff space
• topological data point