The induced I(L)-fuzzy topological spaces for L-fuzzy topological spaces introduced by Wang Geping is a kind of important fuzzy topological space. In this paper, the author studies the fuzzy compactness of induced I(L)-fuzzy topological spaces. Some available relations between molecular nets of an L
Separation properties of induced I(L)-topological spaces
β Scribed by Geping Wang; Xiaoyong Xi; Lanfang Hu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 238 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
The concept of induced I(L)-topological spaces has been introduced by Kubiak (Ph.D. Thesis, UAM, Poznan, 1985) and independently by Wang (Kexue Tongbao 34 (5) (1989) 333). In this paper, the separation properties in the sense of Hutton-Reilly of induced I(L)-topological spaces are investigated. The main result of the paper is a characterization of L-topological spaces by means of the appropriate Hutton-Reilly separation properties of its induced I(L)-topological space.
π SIMILAR VOLUMES
The first aim of this paper is to introduce and to study the concepts of 'complete Scott continuity' and 'completely induced L-fuzzy topological space'. The second is to discuss the connections between some separation, countability and covering properties of an ordinary topological space and its cor
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
In this paper, a set of new separation axioms in L-fuzzy topological spaces are defined and studied. We give several characterizations of these separation axioms and discuss certain relationships among them. Moreover, some of their basic properties are also examined.