The rank of a fuzzy matrix and its evaluation
type: Item
instance of: scholarly article
title: The rank of a fuzzy matrix and its evaluation
zbMATH Open document ID: 0726.15002
DOI: 10.1016/0165-0114(90)90208-N
author: S. Kaguei
author: Ario Ohsato
published in: Fuzzy Sets and Systems
publication date: 1990-01-01T00:00:00Z
review text: Matrices over the set of fuzzy numbers were recently considered by \textit{R. Fullér} [Fuzzy Sets Syst. 34, No.3, 347-353 (1990; Zbl 0696.15003)]. This paper brings a new tool for manipulation on fuzzy data. The authors introduce a notion of real valued rank for matrices whose elements are fuzzy numbers and give an iterative algorithm for calculation of this rank.
reviewed by: Józef Drewniak
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 4198197
zbMATH Keywords: matrix rank
zbMATH Keywords: determinant
zbMATH Keywords: fuzzy numbers
zbMATH Keywords: iterative algorithm
MaRDI profile type: Publication
cites work: Fuzzy sets and systems. Theory and applications
cites work: Generalized fuzzy matrices
cites work: Applications of fuzzy set theory to mathematical programming
full work available at URL: 0165-0114(90)90208-n
OpenAlex ID: W2021908775
description: scientific article; zbMATH DE number 4198197