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Proyecciones (Antofagasta)

Print version ISSN 0716-0917


HUANG, Chun-E. GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS. Proyecciones (Antofagasta) [online]. 2010, vol.29, n.1, pp.17-30. ISSN 0716-0917.

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.

Keywords : fuzzifying matroid; fuzzifying cycle matroid; fuzzifying vector matroid; graphic fuzzifying matroid; representable fuzzifying matroid.

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