Net-convergence in fuzzy neighborhood spaces
β Scribed by A.F.M. Khodadad Khan; T.M.G. Ahsanullah
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 467 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
Our aim is to introduce a concept of net convergence in the well-behaved subcategory of Lowen-fuzzy neighborhood spaces of the category of fuzzy topological spaces. In doing so, we notice that our present notion of net convergence, in addition to Katsaras and Papageorgeou net convergence, is generalized sequential convergence. We also apply this notion of net convergence in fuzzy neighborhood groups and fuzzy neighborhood linear spaces.
π SIMILAR VOLUMES
Some of the properties of linear fuzzy neighborhood spaces are studied. A special class of these spaces is the family of all fuzzy linear spaces whose topology is given by probabilistie seminorms. As in the classical case, it is shown that a linear fuzzy neighborhood space is probabilistie normable
Lowen and Lowen [Applications of