Scientific Research Publishing

Shi, F.G. and Huang, C.E. (2010) Fuzzy Bases and the Fuzzy Dimension of Fuzzy Vector Spaces. Mathematical Communications, 15, 303-310.

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 ...
Scientific Research Publishing

Shi, F.-G. (1995) Theory of Lβ-Nested Sets and Lα-Nested Sets and Its Applications. Fuzzy Systems and Mathematics, 4, 65-72. (In Chinese)

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 ...