The relationship between the maximum entropy and minimax ratio RIM quantifier problems
type: Item
instance of: scholarly article
title: The relationship between the maximum entropy and minimax ratio RIM quantifier problems
zbMATH Open document ID: 1270.68315
author: Dug Hun Hong
published in: Fuzzy Sets and Systems
publication date: 2012-12-20T00:00:00Z
review text: For knowledge aggregation often so-called ordered weighted averages (OWA) are used. A regular increasing monotone (RIM) quantifier introduced by Yager (2004) can be seen as a continuous form of OWA. The author considers two optimization problems, the maximum entropy RIM quantifier problem and the minimax ratio RIM quantifier problem. \textit{X. Liu} and \textit{H. Lou} [Fuzzy Sets Syst. 159, No. 13, 1673--1688 (2008; Zbl 1176.03037)] assert the equivalence of both problems if the RIM quantifier has a continuous generating function. The author shows by an example that this result is wrong and he proves the equivalence under the assumption that the generating function is absolutely continuous and Lebesgue integrable.
reviewed by: Wolfgang Näther
Mathematics Subject Classification ID: 68T37
zbMATH DE Number: 6117652
zbMATH Keywords: knowledge aggregation
zbMATH Keywords: RIM quantifier
zbMATH Keywords: generating function
zbMATH Keywords: maximum entropy
zbMATH Keywords: minimax ratio
MaRDI profile type: Publication
full work available at URL: j.fss.2012.01.014
OpenAlex ID: W1988396822
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DOI: 10.1016/J.FSS.2012.01.014
description: scientific article; zbMATH DE number 6117652