Minimum of Constrained OWA Aggregation Problem with a Single Constraint

Lucian Coroianu, R. Fullér

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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.

Original languageEnglish
Title of host publicationFuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers
EditorsFrancesco Masulli, Robert Fullér, Silvio Giove
PublisherSpringer Verlag
Pages183-192
Number of pages10
ISBN (Print)9783030125431
DOIs
Publication statusPublished - Jan 1 2019
Event12th International Workshop on Fuzzy Logic and Applications, WILF 2018 - Genoa, Italy
Duration: Sep 6 2018Sep 7 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11291 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference12th International Workshop on Fuzzy Logic and Applications, WILF 2018
CountryItaly
CityGenoa
Period9/6/189/7/18

Fingerprint

Aggregation
Agglomeration
Objective function
Minimization Problem
Maximise
Minimise
Coefficient

Keywords

  • Constrained optimization
  • Constrained OWA aggregation
  • OWA operators

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Coroianu, L., & Fullér, R. (2019). Minimum of Constrained OWA Aggregation Problem with a Single Constraint. In F. Masulli, R. Fullér, & S. Giove (Eds.), Fuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers (pp. 183-192). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11291 LNAI). Springer Verlag. https://doi.org/10.1007/978-3-030-12544-8_15

Minimum of Constrained OWA Aggregation Problem with a Single Constraint. / Coroianu, Lucian; Fullér, R.

Fuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers. ed. / Francesco Masulli; Robert Fullér; Silvio Giove. Springer Verlag, 2019. p. 183-192 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11291 LNAI).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Coroianu, L & Fullér, R 2019, Minimum of Constrained OWA Aggregation Problem with a Single Constraint. in F Masulli, R Fullér & S Giove (eds), Fuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11291 LNAI, Springer Verlag, pp. 183-192, 12th International Workshop on Fuzzy Logic and Applications, WILF 2018, Genoa, Italy, 9/6/18. https://doi.org/10.1007/978-3-030-12544-8_15
Coroianu L, Fullér R. Minimum of Constrained OWA Aggregation Problem with a Single Constraint. In Masulli F, Fullér R, Giove S, editors, Fuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers. Springer Verlag. 2019. p. 183-192. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-030-12544-8_15
Coroianu, Lucian ; Fullér, R. / Minimum of Constrained OWA Aggregation Problem with a Single Constraint. Fuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers. editor / Francesco Masulli ; Robert Fullér ; Silvio Giove. Springer Verlag, 2019. pp. 183-192 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
@inproceedings{a917169fffb143139095efcb1b64bcb9,
title = "Minimum of Constrained OWA Aggregation Problem with a Single Constraint",
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.",
keywords = "Constrained optimization, Constrained OWA aggregation, OWA operators",
author = "Lucian Coroianu and R. Full{\'e}r",
year = "2019",
month = "1",
day = "1",
doi = "10.1007/978-3-030-12544-8_15",
language = "English",
isbn = "9783030125431",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "183--192",
editor = "Francesco Masulli and Robert Full{\'e}r and Silvio Giove",
booktitle = "Fuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers",

}

TY - GEN

T1 - Minimum of Constrained OWA Aggregation Problem with a Single Constraint

AU - Coroianu, Lucian

AU - Fullér, R.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Constrained optimization

KW - Constrained OWA aggregation

KW - OWA operators

UR - http://www.scopus.com/inward/record.url?scp=85062788719&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85062788719&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-12544-8_15

DO - 10.1007/978-3-030-12544-8_15

M3 - Conference contribution

SN - 9783030125431

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 183

EP - 192

BT - Fuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers

A2 - Masulli, Francesco

A2 - Fullér, Robert

A2 - Giove, Silvio

PB - Springer Verlag

ER -