Abstract

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.

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