Transitivity of fuzzy matrices under generalized connectedness
type: Item
instance of: scholarly article
title: Transitivity of fuzzy matrices under generalized connectedness
zbMATH Open document ID: 0673.05068
DOI: 10.1016/0165-0114(89)90195-4
author: Hiroshi Hashimoto
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: Matrices representing generalized connected fuzzy relations are considered, and the usual operations on fuzzy matrices except subtraction (instead, the author introduced a special type of operation) are adopted. Then some properties of transitive fuzzy matrices are obtained, namely, several conditions for a given fuzzy matrix to be transitive, some properties of ordinary transitive tournaments, etc. The results are useful for discussions of fuzzy preferences and fuzzy digraphs, and they hold for Boolean matrices as well.
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C20
Mathematics Subject Classification ID: 03E99
zbMATH DE Number: 4101252
zbMATH Keywords: transitive fuzzy matrices
zbMATH Keywords: tournaments
zbMATH Keywords: fuzzy digraphs
reviewed by: Li Bingxi
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90195-4
OpenAlex ID: W2031529194
cites work: Q4187840
cites work: Fuzzy sets and systems. Theory and applications
cites work: Q5668657
cites work: Transitivity of generalized fuzzy matrices
cites work: Decision-making with a fuzzy preference relation
cites work: Structure of fuzzy binary relations
cites work: Q4138414
cites work: Similarity relations and fuzzy orderings
description: scientific article; zbMATH DE number 4101252