Minimum of Constrained OWA Aggregation Problem with a Single Constraint

In a recent paper we found an analytical formula for the constrained ordered weighted aggregation problem (OWA) when we need to maximize the objective function. In this note we prove that the method works in the case when we need to minimize the objective function. If in the case of the maximization...

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Published inFuzzy Logic and Applications Vol. 11291; pp. 183 - 192
Main Authors Coroianu, Lucian, Fullér, Robert
Format Book Chapter
LanguageEnglish
Published Switzerland Springer International Publishing AG 2019
Springer International Publishing
SeriesLecture Notes in Computer Science
Subjects
Online AccessGet full text
ISBN9783030125431
3030125432
ISSN0302-9743
1611-3349
DOI10.1007/978-3-030-12544-8_15

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Abstract In a recent paper we found an analytical formula for the constrained ordered weighted aggregation problem (OWA) when we need to maximize the objective function. In this note we prove that the method works in the case when we need to minimize the objective function. If in the case of the maximization problem we need to rearrange the coefficients in the constrained in nondecreasing order, for the nontrivial minimization problem, it suffice to rearrange them in nonincreasing order.
AbstractList In a recent paper we found an analytical formula for the constrained ordered weighted aggregation problem (OWA) when we need to maximize the objective function. In this note we prove that the method works in the case when we need to minimize the objective function. If in the case of the maximization problem we need to rearrange the coefficients in the constrained in nondecreasing order, for the nontrivial minimization problem, it suffice to rearrange them in nonincreasing order.
Author Coroianu, Lucian
Fullér, Robert
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Snippet In a recent paper we found an analytical formula for the constrained ordered weighted aggregation problem (OWA) when we need to maximize the objective...
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proquest
SourceType Publisher
StartPage 183
SubjectTerms Constrained optimization
Constrained OWA aggregation
OWA operators
Title Minimum of Constrained OWA Aggregation Problem with a Single Constraint
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