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Sequential convergence in fuzzy neighborhood spaces

โœ Scribed by A.F.M.Khodadad Khan; T.M.G. Ahsanullah

Book ID
107902621
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
408 KB
Volume
46
Category
Article
ISSN
0165-0114

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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

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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