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 in | Fuzzy Logic and Applications Vol. 11291; pp. 183 - 192 |
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Main Authors | , |
Format | Book Chapter |
Language | English |
Published |
Switzerland
Springer International Publishing AG
2019
Springer International Publishing |
Series | Lecture Notes in Computer Science |
Subjects | |
Online Access | Get full text |
ISBN | 9783030125431 3030125432 |
ISSN | 0302-9743 1611-3349 |
DOI | 10.1007/978-3-030-12544-8_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. |
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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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Editor | Giove, Silvio Fullér, Robert Masulli, Francesco |
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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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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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