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L -fuzzifying topological vector spaces

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  • Cong-Hua Yan
  • Cong-Xin Wu

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.

Suggested Citation

  • Cong-Hua Yan & Cong-Xin Wu, 2005. "L -fuzzifying topological vector spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:471412
    DOI: 10.1155/IJMMS.2005.2081
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