Neighborhood systems in fuzzy topological group
โ Scribed by N.R. Das; Prabin Das
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 111 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0165-0114
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โฆ Synopsis
In this paper, we have established a necessary and su cient condition for a family of fuzzy sets in a group to be the family of neighborhoods of the identity element of a fuzzy topological group. As an application, a mixed fuzzy topological group is constructed from two given fuzzy topological groups with the help of neighborhood systems.
๐ SIMILAR VOLUMES
The notion of product fuzzy topology in the case of fuzzy topology on fuzzy sets is introduced and the product invariance of fuzzy Hausdorffness, compactness, connectedness are examined. The product fuzzy topology is used to define fuzzy group topology on a fuzzy subgroup of a group G and some prope