Argyris, Nikolaos, Morton, Alec and Figueira, José Rui (2014) CUT : a multicriteria approach for concavifiable preferences. Operations Research, Volume 62 (Number 3). pp. 633-642. doi:10.1287/opre.2014.1274 ISSN 0030-364X.

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Abstract

We consider the problem of helping a decision maker (DM) choose from a set of multiattributed objects when her preferences are “concavifiable,” i.e. representable by a concave value function. We establish conditions under which preferences or preference intensities are concavifiable. We also derive a characterization for the family of concave value functions compatible with a set of such preference statements expressed by the DM. This can be used to validate dominance relations over discrete sets of alternatives and forms the basis of an interactive procedure. We report on the practical use of this procedure with several DMs for a flat-choice problem and its computational performance on a set of project-portfolio selection problem instances. The use of preference intensities is found to provide significant improvements to the performance of the procedure.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Science > Statistics
Journal or Publication Title:	Operations Research
Publisher:	Institute for Operations Research and the Management Sciences (I N F O R M S)
ISSN:	0030-364X
Official Date:	9 June 2014
Dates:	Date Event 9 June 2014 Published February 2014 Accepted May 2011 Submitted
Volume:	Volume 62
Number:	Number 3
Page Range:	pp. 633-642
DOI:	10.1287/opre.2014.1274
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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