Graphics and representable fuzzifying matroids
Author
Huang, Chun-E
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/17-3010.4067/S0716-09172010000100003
Abstract
In this paper, a fuzzifying matroid is induced respectively from a fuzzy graph and a fuzzy vector subspace. The concepts of graphic fuzzifying matroid and representable fuzzifying matroid are presented and some properties of them are discussed. In general, a graphic fuzzifying matriod can not be representable over any field. But when a fuzzifying matroid is isomorphic to a fuzzifying cycle matroid which is induced by a fuzzy tree, it is a representable over any field.