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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Universidad Católica del Norte, Departamento de Matemáticas
2010
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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 |
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Scielo Chile |
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Scielo Chile |
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English |
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fuzzifying matroid fuzzifying cycle matroid fuzzifying vector matroid graphic fuzzifying matroid representable fuzzifying matroid |
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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 |
_version_ |
1718439766721036288 |