In this paper, we have made an attempt to obtain a fuzzy matroid from a fuzzy vector space. As a result, the concept of representable fuzzy matroid is presented with some properties. It is proved through an example that a graphic fuzzy matroid cannot be representable over any field, in general. Also, we established a sufficient condition that a graphic fuzzy matroid occur representable over any given field.
Keywords and Phrases
Fuzzy matroid, fuzzy vector matroid, representable fuzzy matroid.
A.M.S. subject classiﬁcation
05C72, 05C90, 03E99, 15A99.