Controllable fuzzy matrices
type: Item
instance of: scholarly article
title: Controllable fuzzy matrices
zbMATH Open document ID: 0749.15014
DOI: 10.1016/0165-0114(92)90149-X
published in: Fuzzy Sets and Systems
publication date: 1992-09-27T00:00:00Z
review text: A matrix \(M\) is called controllable if for some permutation matrix \(P\), \(PMP^ T\) has \((i,j)\) entry at least as large as \((j,i)\) entry for \(i\) greater than \(j\). The author gives an algorithm to reduce controllable matrices to canonical form.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 58418
zbMATH Keywords: fuzzy matrices
zbMATH Keywords: fuzzy relation
zbMATH Keywords: transitivity
zbMATH Keywords: controllable matrices
zbMATH Keywords: canonical form
author: Jian-Xin Li
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
cites work: Generalized fuzzy matrices
cites work: Automorphisms of \(\lambda\)-matrices
cites work: Canonical form of a transitive fuzzy matrix
cites work: Canonical form of a strongly transitive fuzzy matrix
cites work: Szpilrajn's theorem on fuzzy orderings
cites work: Q4770975
full work available at URL: 0165-0114(92)90149-x
OpenAlex ID: W2041657176
description: scientific article; zbMATH DE number 58418