Article overview
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 matroidfuzzy vector matroidrepresentable fuzzy matroid.
AMS Subject Classification
05C72, 05C90, 03E99, 15A99.
Reference information
How to Cite
Shabna O. K., Sameena K. (2021). FUZZY MATROIDS FROM FUZZY VECTOR SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 17(3), 381-390.