Inverses of L-fuzzy matrices
type: Item
instance of: scholarly article
title: Inverses of L-fuzzy matrices
zbMATH Open document ID: 0687.15011
DOI: 10.1016/0165-0114(90)90130-X
author: Cuikui Zhao
published in: Fuzzy Sets and Systems
publication date: 1990-01-01T00:00:00Z
review text: Let L be a Brouwerian lattice such that every element has a finite decomposition into join-irreducible elements (e.g. Cartesian product of chains). Using the methods of fuzzy relation equations [cf. \textit{C.-K. Zhao}, Fuzzy Sets Syst. 22, 303-320 (1987; Zbl 0621.06006 )]) the paper describes the existence and a computation of sup-inf inverses of a rectangular matrix over L. The five kinds of generalized inverses described in Boolean matrix theory are considered [cf. \textit{K. H. Kim}, \textit{F. W. Roush}, Linear Algebra Appl. 22, 247-262 (1978; Zbl 0387.15004) and Analysis of fuzzy information, Vol. 1, Math. logic, 107- 129 (1987; Zbl 0658.15012)].
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4125585
zbMATH Keywords: inverses of L-fuzzy matrices
zbMATH Keywords: matrix over lattice
zbMATH Keywords: finite join
zbMATH Keywords: decomposition
zbMATH Keywords: Brouwerian lattice
zbMATH Keywords: methods of fuzzy relation equations
zbMATH Keywords: generalized inverses
zbMATH Keywords: Boolean matrix theory
reviewed by: Józef Drewniak
MaRDI profile type: Publication
cites work: Generalized fuzzy matrices
cites work: On generalized inverses of Boolean matrices
cites work: Inverses of Boolean matrices
cites work: On matrix equations in a class of complete and completely distributive lattices
cites work: Q4061081
cites work: Q3956998
cites work: Q5331549
full work available at URL: 0165-0114(90)90130-x
OpenAlex ID: W1505362602
description: scientific article; zbMATH DE number 4125585