GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS

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 rep...

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Detalles Bibliográficos
Autor: Huang,Chun-E
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:Chile
Institución:CONICYT Chile
Repositorio:SciELO Chile
OAI Identifier:oai:scielo:S0716-09172010000100003
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100003
Access Level:acceso abierto
Palabra clave:fuzzifying matroid
fuzzifying cycle matroid
fuzzifying vector matroid
graphic fuzzifying matroid
representable fuzzifying matroid
Descripción
Sumario: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.