What is it about?

In this paper we obtain two characterizations of regular fuzzy topological spaces using Luo's and Abd El-Monsef and others’ paracompact fuzzy topological spaces. Thus, it shows that regularity of fuzzy topological spaces can be considered as a paracompact-type property with several kinds of paracompact fuzzy topological spaces.

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Why is it important?

It is showed that regularity of fuzzy topological spaces can be considered as a paracompact-type property with several kinds of paracompact fuzzy topological spaces

Perspectives

This supposes a stimulus for further investigations, tending to obtain characterizations of other fuzzy separation properties (for example fuzzy normality, fuzzy complete regularity,..) as fuzzy covering properties

Francisco Gallego Lupianez
University Complutense

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This page is a summary of: Regularity and Paracompactness: Relation in the Field of Fuzziness, January 2023, Springer Science + Business Media,
DOI: 10.1007/978-3-031-39774-5_8.
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