Completely regular fuzzifying topological spaces

A. K. Katsaras

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-17

Abstract:

Some of the properties of the completely regular fuzzifying topological spaces are investigated. It is shown that a fuzzifying topology τ is completely regular if and only if it is induced by some fuzzy uniformity or equivalently by some fuzzifying proximity. Also, τ is completely regular if and only if it is generated by a family of probabilistic pseudometrics.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:354173

DOI: 10.1155/IJMMS.2005.3781

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