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Katsaras, A.K. and Liu, D.B. (1977) Fuzzy Vector Spaces and Fuzzy Topological Vector Spaces. Journal of Mathematical Analysis and Applications, 58, 135-146.
https://doi.org/10.1016/0022-247X(77)90233-5

has been cited by the following article:

• TITLE: L-Fuzzy Vector Subspaces and Its Fuzzy Dimension

  AUTHORS: Chun’e Huang, Yan Song, Xiruo Wang

  KEYWORDS: L-Fuzzy Sets, L-Fuzzy Vector Subspace, L-Fuzzy Dimension

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.6 No.4, December 28, 2016

  ABSTRACT: In this paper, we introduce the definition of L-fuzzy vector subspace, define its dimension by an L-fuzzy natural number. For a finite-dimensional L-fuzzy vector subspace, we prove that the equality holds without any restricted conditions. At the same time, we deduce that the formula holds.