Fuzzy matrices of permanent one
type: Item
instance of: scholarly article
title: Fuzzy matrices of permanent one
zbMATH Open document ID: 0796.15019
DOI: 10.1016/0165-0114(93)90208-Y
author: Han Hyuk Cho
published in: Fuzzy Sets and Systems
publication date: 1994-10-05T00:00:00Z
review text: The paper deals with square matrices over the semiring \(([0,1], \max, \min)\). Matrices with permanent one [max-min determinant, cf. \textit{J. B. Kim}, \textit{A. Baartmans} and \textit{N. S. Sahadin}, ibid. 29, No. 3, 349- 356 (1989; Zbl 0668.15004)] are considered as a generalization of reflexive fuzzy relations on a finite set [cf. \textit{A. Kaufmann}, Fuzzy sets theory (1975; Zbl 0456.68081)]. The notion of the generalized inverse [cf. \textit{P. S. S. N. V. Prasada Rao}, \textit{K. P. S. Bhaskara Rao}, Linear Algebra Appl. 11, 135-153 (1975; Zbl 0322.15011)] is characterized for these matrices and applied to study of idempotent matrices and fuzzy linear mappings.
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 94D05
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 496181
zbMATH Keywords: max-min determinant
zbMATH Keywords: permanent
zbMATH Keywords: reflexive fuzzy relations
zbMATH Keywords: generalized inverse
zbMATH Keywords: idempotent matrices
zbMATH Keywords: fuzzy linear mappings
reviewed by: Józef Drewniak
MaRDI profile type: Publication
cites work: Q3943082
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full work available at URL: 0165-0114(93)90208-y
OpenAlex ID: W2084815602
description: scientific article; zbMATH DE number 496181