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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Autor principal: Huang,Chun-E
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2010
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100003
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spelling oai:scielo:S0716-091720100001000032010-05-19GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDSHuang,Chun-E fuzzifying matroid fuzzifying cycle matroid fuzzifying vector matroid graphic fuzzifying matroid representable fuzzifying matroid 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.1 20102010-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100003en10.4067/S0716-09172010000100003
institution Scielo Chile
collection Scielo Chile
language English
topic fuzzifying matroid
fuzzifying cycle matroid
fuzzifying vector matroid
graphic fuzzifying matroid
representable fuzzifying matroid
spellingShingle fuzzifying matroid
fuzzifying cycle matroid
fuzzifying vector matroid
graphic fuzzifying matroid
representable fuzzifying matroid
Huang,Chun-E
GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS
description 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.
author Huang,Chun-E
author_facet Huang,Chun-E
author_sort Huang,Chun-E
title GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS
title_short GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS
title_full GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS
title_fullStr GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS
title_full_unstemmed GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS
title_sort graphic and representable fuzzifying matroids
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100003
work_keys_str_mv AT huangchune graphicandrepresentablefuzzifyingmatroids
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