Bases of fuzzy vector spaces

doi:10.1016/0020-0255(93)90085-Z

Information Sciences

Volume 67, Issues 1–2, 1 January 1993, Pages 87-92

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Abstract

Let V be a vector space over a field F. Let A be a fuzzy subspace of V over F. We give sufficient conditions for A to have a basis over a fuzzy subfield K of F. We also show that if A has the sup property, then A has a fully free basis over F but not necessarily a fully free basis over K.

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Bases of fuzzy vector spaces

Abstract

Fuzzy Sets and Systems

J. Math. Anal. Appl.

Fuzzy Sets and Systems

Fuzzy Sets and Systems