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.