Minimality and comparison of sets of multi-attribute vectors
dc.contributor.author | Toffano, Federico | |
dc.contributor.author | Wilson, Nic | |
dc.contributor.funder | Science Foundation Ireland | en |
dc.contributor.funder | European Regional Development Fund | en |
dc.date.accessioned | 2020-10-05T12:05:37Z | |
dc.date.available | 2020-10-05T12:05:37Z | |
dc.date.issued | 2020-09-29 | |
dc.date.updated | 2020-10-01T09:36:57Z | |
dc.description.abstract | In a decision-making problem, there can be uncertainty regarding the user preferences. We assume a parameterised utility model, where in each scenario we have a utility function over alternatives, and where each scenario represents a possible user preference model consistent with the input preference information. With a set A of alternatives available to the decision maker, we can consider the associated utility function, expressing, for each scenario, the maximum utility among the alternatives. We consider two main problems: firstly, finding a minimal subset of A that is equivalent to it, i.e., that has the same utility function. Secondly, we consider how to compare A to another set of alternatives B, where A and B correspond to different initial decision choices. We derive mathematical results that allow different computational techniques for these two problems, using linear programming, and especially, using the extreme points of the epigraph of the utility function. | en |
dc.description.sponsorship | Science Foundation Ireland (under Grant No. 12/RC/2289 and Grant No. 12/RC/2289-P2 which are co-funded under the European Regional Development Fund) | en |
dc.description.status | Peer reviewed | en |
dc.description.version | Published Version | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.citation | Toffano, F. and Wilson, N. (2020) 'Minimality and Comparison of Sets of Multi-Attribute Vectors', European Conference on Artificial Intelligence, 29 Aug-02 Sept, in Frontiers in Artificial Intelligence and Applications, Volume 325: ECAI 2020, pp. 913 - 920. doi: 10.3233/FAIA200183 | en |
dc.identifier.doi | 10.3233/FAIA200183 | en |
dc.identifier.endpage | 920 | en |
dc.identifier.isbn | 978-1-64368-100-9 | |
dc.identifier.isbn | 978-1-64368-101-6 | |
dc.identifier.issn | 0922-6389 | |
dc.identifier.issn | 1879-8314 | |
dc.identifier.startpage | 913 | en |
dc.identifier.uri | https://hdl.handle.net/10468/10632 | |
dc.language.iso | en | en |
dc.publisher | IOS Publishing | en |
dc.relation.ispartof | Ebook Series: Frontiers in Artificial Intelligence and Applications | |
dc.relation.ispartof | https://digital.ecai2020.eu/ | |
dc.relation.project | info:eu-repo/grantAgreement/SFI/SFI Research Centres/12/RC/2289/IE/INSIGHT - Irelands Big Data and Analytics Research Centre/ | en |
dc.relation.uri | http://ebooks.iospress.nl/volumearticle/54978 | |
dc.relation.uri | https://doi.org/10.3233/FAIA200183 | |
dc.rights | © 2020 The authors and IOS Press. This article is published online with Open Access by IOS Press and distributed under the terms of the Creative Commons Attribution Non-Commercial License 4.0 (CC BY-NC 4.0). | en |
dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | en |
dc.subject | Decision-making | en |
dc.title | Minimality and comparison of sets of multi-attribute vectors | en |
dc.type | Article (peer-reviewed) | en |
dc.type | Conference item | en |
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