A note on the characterization of the max and min operators
type: Item
instance of: scholarly article
title: A note on the characterization of the max and min operators
zbMATH Open document ID: 0597.04002
DOI: 10.1016/0020-0255(83)90042-7
author: B. George
published in: Information Sciences
publication date: 1983-01-01T00:00:00Z
review text: \textit{R. Bellmann} and \textit{M. Giertz} [Inf. Sci. 5, 149-156 (1973; Zbl 0251.02059)] characterized, in the context of fuzzy set theory, the max and min operators of the unit interval by means of six axioms. The authors show that this characterization, justified by simple set theoretic properties, can be made using only three suitable axioms. Some examples prove the independence of the conditions given.
Mathematics Subject Classification ID: 03E20
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 3961610
zbMATH Keywords: union
zbMATH Keywords: intersection
zbMATH Keywords: fuzzy set
zbMATH Keywords: max and min operators of the unit interval
reviewed by: Antonio Di Nola
MaRDI profile type: Publication
full work available at URL: 0020-0255(83)90042-7
OpenAlex ID: W1982108276
cites work: On the analytic formalism of the theory of fuzzy sets
description: scientific article; zbMATH DE number 3961610