Graphics and representable fuzzifying matroids

Authors

  • Chun-E Huang Beijing Institute of Technology.

DOI:

https://doi.org/10.4067/S0716-09172010000100003

Keywords:

Fuzzifying matroid, fuzzifying cycle matroid, fuzzifying vector matroid, graphic fuzzifying matroid, representable fuzzifying matroid, matroide difusa, ciclo matroidal de difusión, vector matroidal difuso, matroide gráfica difusa.

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.

Author Biography

Chun-E Huang, Beijing Institute of Technology.

Department of Mathematics, School of Science.

References

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Published

2011-01-06

How to Cite

[1]
C.-E. Huang, “Graphics and representable fuzzifying matroids”, Proyecciones (Antofagasta, On line), vol. 29, no. 1, pp. 17-30, Jan. 2011.

Issue

Section

Artículos