Linear fuzzy neighborhood spaces
β Scribed by A.K. Katsaras
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 731 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
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 if[ it is Hausdorff and it has an n-bounded convex.fuzzy neighborhood of zero.
π SIMILAR VOLUMES
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 general
A fuzzy neighborhood space is said to be pseudometrizable if, and only if, the associated fuzzy topology is induced by a probabilistic pseudometric under A . By the aid of the concept of quasi-inverse functions it will be shown that a fuzzy neighborhood space is pseudometrizable if. and only if, ev