Author(s)

Chun’e Huang^1*, Yan Song², Xiruo Wang²

¹College of Biochemical Engineering, Beijing Union University, Beijing, China.
²Mudanjiang Normal University, Mudanjiang, China.

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.

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

Huang, C. , Song, Y. and Wang, X. (2016) L-Fuzzy Vector Subspaces and Its Fuzzy Dimension. Advances in Linear Algebra & Matrix Theory, 6, 158-168. doi: 10.4236/alamt.2016.64015.