Separation axioms in L-fuzzy topological spaces (I): T-0 and T-1
Using the notion of remote neighborhood, we define the separation axioms T-0 and T-1 in L-fuzzy topological spades (L-fts). The relations between our definitions, 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 T-0 L-fts and T-1 L-frs are established, which will be used immediately in our subsequent discussion. (C) 2000 Elsevier Science B.V. All rights reserved.
remote neighborhood fuzzy unit interval fuzzy real line fuzzy topology axiom of separation