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<i>L</i>-Fuzzy Vector Subspaces and Its Fuzzy Dimension
College of Biochemical Engineering, Beijing Union University, Beijing, China
Mudanjiang Normal University, Mudanjiang, China
Mudanjiang Normal University, Mudanjiang, China
- 1 College of Biochemical Engineering, Beijing Union University, Beijing, China
- 2 Mudanjiang Normal University, Mudanjiang, China
- 3 Mudanjiang Normal University, Mudanjiang, China
Advances in Linear Algebra & Matrix Theory·Volume 06 (2016)·Pages 158–168·Published 28 November 2016·DOI10.4236/alamt.2016.64015
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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.
Keywords<i>L</i>-Fuzzy Sets<i>L</i>-Fuzzy Vector Subspace<i>L</i>-Fuzzy Dimension
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