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Multi-attribute proportional representation

cris.lastimport.scopus2024-02-12T19:57:43Z
dc.abstract.enWe consider the following problem in which a given number of items has to be chosen from a predefined set. Each item is described by a vector of attributes and for each attribute there is a desired distribution that the selected set should have. We look for a set that fits as much as possible the desired distributions on all attributes. An example of application is the choice of members for a representative committee, where candidates are described by attributes such as gender, age and profession, and where we look for a committee that for each attribute offers a certain representation, i.e., a single committee that contains a certain number of young and old people, certain number of men and women, certain number of people with different professions, etc. Another example of application is the selection of a common set of items to be used by a group of users, where items are labelled by attribute values. With a single attribute the problem collapses to the apportionment problem for party-list proportional representation systems (in such a case the value of the single attribute would be a political affiliation of a candidate). We study the properties of the associated subset selection rules, as well as their computational complexity.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSkowron, Piotr
dc.contributor.authorLang, Jérôme
dc.date.accessioned2024-01-25T13:05:53Z
dc.date.available2024-01-25T13:05:53Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.volume263
dc.identifier.doi10.1016/J.ARTINT.2018.07.005
dc.identifier.issn0004-3702
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/113048
dc.identifier.weblinkhttps://www.sciencedirect.com/science/article/pii/S0004370218304089?via%3Dihub
dc.languageeng
dc.pbn.affiliationcomputer and information sciences
dc.relation.ispartofArtificial Intelligence
dc.relation.pages74-106
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enProportional representation
dc.subject.enDiversity
dc.subject.enMultiwinner elections
dc.subject.enApportionment
dc.subject.enRecommendation systems
dc.subject.enAlgorithms
dc.subject.enComputational complexity
dc.subject.enApproximation algorithms
dc.titleMulti-attribute proportional representation
dc.typeJournalArticle
dspace.entity.typePublication