{"type":"ScholarlyArticle","title":"BiOWA for Preference Aggregation with Bipolar Scales: Application to Fair Optimization in Combinatorial Domains","authors":[{"name":"Hugo Martin","slug":"hugo-martin","given":"Hugo","family":"Martin","affiliation":"Sorbonne Université , CNRS , Laboratoire d'Informatique de Paris 6 , LIP6 , Paris , France"},{"name":"Patrice Perny","slug":"patrice-perny","given":"Patrice","family":"Perny","affiliation":"Sorbonne Université , CNRS , Laboratoire d'Informatique de Paris 6 , LIP6 , Paris , France"}],"abstract":"We study the biOWA model for preference aggregation and multicriteria decision making from bipolar rating scales. A biOWA is an ordered doubly weighted averaging extending standard ordered weighted averaging (OWA) and allowing a finer control of the importance attached to positive and negative evaluations in the aggregation.  After establishing some useful properties of biOWA to generate balanced Pareto-optimal solutions, we address fair biOWA-optimization problems in combinatorial domains. We first consider the use of biOWA in multi-winner elections for aggregating graded approval and disapproval judgements. Then we consider the use of biOWA for solving robust path problems with costs expressing gains and losses. A linearization of biOWA is proposed, allowing both problems to be solved by MIP. A path-ranking algorithm for biOWA optimization is also proposed. Numerical tests are provided to show the practical efficiency of our models.","doi":"10.24963/ijcai.2019/252","url":"https://ijcai.org/proceedings/2019/252","pdf":"https://ijcai.org/proceedings/2019/0252.pdf","markdown":"https://ijcai.org/proceedings/2019/252.md","bibtex":"https://ijcai.org/proceedings/2019/bibtex/252","volume":{"slug":"2019","title":"Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2019","url":"https://ijcai.org/proceedings/2019/","year":2019,"location":"Macao","dates":"10-16 August 2019","editors":"Sarit Kraus","isbn":"978-0-9992411-4-1","publisher":"International Joint Conferences on Artificial Intelligence Organization","doi_prefix":"10.24963/ijcai.2019"},"section":"Knowledge Representation and Reasoning","track":"Main track","number":252,"pages":{"first":1822,"last":1828},"keywords":["Agent-based and Multi-agent Systems: Computational Social Choice","Knowledge Representation and Reasoning: Knowledge Representation and Decision ; Utility Theory","Heuristic Search and Game Playing: Combinatorial Search and Optimisation"],"videos":[],"references":[{"position":1,"raw":"[Blackorby and Donalson, 1978] Charles Blackorby and David Donalson. 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