Ditopological texture spaces and intuitionistic sets
β Scribed by Lawrence M. Brown; Murat Diker
- Book ID
- 104292674
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 564 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
In this paper it is shown that the lattice of intuitionistic subsets of a set X in the sense of D. Goker may be represented as a special type of texture space, called an intuitionistic texture on X, and various characterizations are given. It is established that intuitionistic topologies are mapped to ditopologies on the corresponding texture, and some notions of compactness and stability are considered.
π SIMILAR VOLUMES
The notion of a texture space, under the name of fuzzy structure, was introduced by Brown (1993) as a means of representing a lattice of fuzzy sets as a lattice of crisp subsets of some base set. Corresponding to a fuzzy topology we then have the concept of a ditopology, and in this paper connectedn
In this paper a one-point compactiΓΏcation of a ditopological texture space is deΓΏned and a concept of local compactness introduced and shown to be additive in the class of ditopological texture spaces. An application to Hutton spaces is given. Here a compact extension of an Hutton space is obtained