### 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 language | English |
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Title of host publication | Fuzzy Logic and Applications - 12th International Workshop, WILF 2018, Revised Selected Papers |

Editors | Francesco Masulli, Robert Fullér, Silvio Giove |

Publisher | Springer Verlag |

Pages | 183-192 |

Number of pages | 10 |

ISBN (Print) | 9783030125431 |

DOIs | |

Publication status | Published - Jan 1 2019 |

Event | 12th International Workshop on Fuzzy Logic and Applications, WILF 2018 - Genoa, Italy Duration: Sep 6 2018 → Sep 7 2018 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 11291 LNAI |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 12th International Workshop on Fuzzy Logic and Applications, WILF 2018 |
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Country | Italy |

City | Genoa |

Period | 9/6/18 → 9/7/18 |

### Fingerprint

### Keywords

- Constrained optimization
- Constrained OWA aggregation
- OWA operators

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

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 -