Bases of fuzzy matroids
type: Item
instance of: scholarly article
title: Bases of fuzzy matroids
zbMATH Open document ID: 0686.05013
DOI: 10.1016/0165-0114(89)90007-9
author: Roy jun. Goetschel
author: William Voxman
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: The authors pursue their research on fuzzy matroids, a concept they introduced in a previous paper [see these authors, Fuzzy matroids, Fuzzy Sets and Systems 27, 291-302 (1988)]. They now deal with bases of fuzzy matroids. They show that not all matroids have fuzzy bases. They define a special class of fuzzy matroids that have them, called closed fuzzy metroids. They associate to a given fuzzy matroid another one called its closure and using the bases of this closure they induce bases in the given one, called closure bases. Finally they investigate the cardinality of the bases and characterize a class of fuzzy matroids, called regular, whose bases are equicardinal.
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 4123749
zbMATH Keywords: Fuzzy matroids
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90007-9
OpenAlex ID: W2047058382
cites work: Q3874222
cites work: Fuzzy matroids
Recommended article: BASES AND CIRCUITS OF FUZZIFYING MATROIDS
Recommended article: Q5276978
Recommended article: Axioms for fuzzy bases of Hsueh fuzzy matroids
Recommended article: Fuzzy matroids
Recommended article: Axioms for bases of closed regular fuzzy matroids
Recommended article: Bases axioms and circuits axioms for fuzzifying matroids
Recommended article: On fuzzy matroids
Recommended article: Q5076853
Recommended article: Fuzzy matroid structures
Recommended article: On fuzzification of matroids
description: scientific article; zbMATH DE number 4123749