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On the Metrizability of Fuzzy Neighborhood Spaces

✍ Scribed by Wolfgang Flüshöh

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
333 KB
Volume
166
Category
Article
ISSN
0025-584X

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✦ Synopsis

A fuzzy neighborhood space is said to be pseudometrizable if, and only if, the associated fuzzy topology is induced by a probabilistic pseudometric under A .

By the aid of the concept of quasi-inverse functions it will be shown that a fuzzy neighborhood space is pseudometrizable if. and only if, every associated level-topology is pseudometrizable and a family of generating pseudometrics is monotone decreasing.

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