Abstract

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.

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