Convergence of powers of s-transitive fuzzy matrices
type: Item
instance of: scholarly article
title: Convergence of powers of s-transitive fuzzy matrices
zbMATH Open document ID: 0647.15010
DOI: 10.1016/0165-0114(88)90011-5
author: Waldemar Kołodziejczyk
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: The paper deals with a generalization of max-min transitivity of fuzzy relations [cf. the author, ibid. 22, 297-302 (1987; Zbl 0623.15019)]. The author proves that powers of an s-transitive fuzzy matrix either converge or oscillate with period 2, while powers of max-min transitive fuzzy matrix always converge [cf. \textit{H. Hashimoto}, ibid. 9, 153-160 (1983; Zbl 0509.15009)].
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 03E20
zbMATH DE Number: 4055788
zbMATH Keywords: max-min composition
zbMATH Keywords: max-min powers
zbMATH Keywords: s-transitivity
zbMATH Keywords: convergence
zbMATH Keywords: oscillation
zbMATH Keywords: max-min transitivity
zbMATH Keywords: fuzzy relations
zbMATH Keywords: fuzzy matrix
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0165-0114(88)90011-5
OpenAlex ID: W1969299078
cites work: Congerence of powers of a fuzzy transitive matrix
cites work: Canonical form of a strongly transitive fuzzy matrix
cites work: Orlovsky's concept of decision-making with fuzzy preference relation - further results
cites work: Convergence of powers of a fuzzy matrix
description: scientific article; zbMATH DE number 4055788