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Separation axioms in L-fuzzy topological spaces (I): T0 and T1

✍ Scribed by Sheng-Gang Li

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
125 KB
Volume
116
Category
Article
ISSN
0165-0114

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✦ Synopsis

Using the notion of remote neighborhood, we deΓΏne the separation axioms T0 and T1 in L-fuzzy topological spaces (L-fts). The relations between our deΓΏnitions, Hutton and Reilly's, and Wang's are discussed, and the separations of Hutton's fuzzy unit interval and Gantner's fuzzy real line are examined. Characterizations of these L-fts are proved and a series of properties of them are investigated. Moreover, some results on minimal T0 L-fts and T1 L-fts are established, which will be used immediately in our subsequent discussion.

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