Closure operators and fuzzy connectedness
โ Scribed by I.W. Alderton; G. Castellini
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 658 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
โฆ Synopsis
A general notion of connectedness with respect to a closure operator on an arbitrary category X is used to produce some connectedness notions in the category of fuzzy topological spaces. All these notions turn out to be connectednesses in the sense of PreuB. Some already existing notions of connectedness in the category of fuzzy topological spaces are obtained as special cases of ours.
๐ SIMILAR VOLUMES
The concepts of 0-closure and d-closure operators are introduced and studied in the light of quasi-coincidence due to Pu and Liu (1980, 1980) in a fuzzy bitopological setting. As applications of these concepts, we give characterizations of fuzzy pairwise regularity and some of its weaker forms in te