L -fuzzifying topological vector spaces

Cong-Hua Yan and Cong-Xin Wu

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-13

Abstract:

The main purpose of this paper is to introduce a concept of L -fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties. Also, a characterization of such spaces in terms of the corresponding L -fuzzifying neighborhood structure of the zero element is given. Finally, the conclusion that the category of L -fuzzifying topological vector spaces is topological over the category of vector spaces is proved.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:471412

DOI: 10.1155/IJMMS.2005.2081

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