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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.

KEYWORDS

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

Cite this paper

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.





Author: Chun’e Huang1*, Yan Song2, Xiruo Wang2

Source: http://www.scirp.org/



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