Convex cone-based partial order for multiple criteria alternatives

Akram Dehnokhalaji, Pekka J. Korhonen, Murat Köksalan, Nasim Nasrabadi, Jyrki Wallenius

Research output: Contribution to journalArticle

Abstract

In this paper, we consider the problem of finding a preference-based strict partial order for a finite set of multiple criteria alternatives. We develop an approach based on information provided by the decision maker in the form of pairwise comparisons. We assume that the decision maker's value function is not explicitly known, but it has a quasi-concave form. Based on this assumption, we construct convex cones providing additional preference information to partially order the set of alternatives. We also extend the information obtained from the quasi-concavity of the value function to derive heuristic information that enriches the strict partial order. This approach can as such be used to partially rank multiple criteria alternatives and as a supplementary method to incorporate preference information in, e.g. Data Envelopment Analysis and Evolutionary Multi-Objective Optimization.
Original languageEnglish
Pages (from-to)256-261
JournalDecision Support Systems
Volume51
Issue number2
DOIs
Publication statusPublished - 1 May 2011

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Cones
Data envelopment analysis
Multiobjective optimization
Convex cone
Multiple criteria
Partial order
Cone
Heuristics
Decision maker
Value function

Cite this

Dehnokhalaji, Akram ; Korhonen, Pekka J. ; Köksalan, Murat ; Nasrabadi, Nasim ; Wallenius, Jyrki. / Convex cone-based partial order for multiple criteria alternatives. In: Decision Support Systems. 2011 ; Vol. 51, No. 2. pp. 256-261.
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Dehnokhalaji, A, Korhonen, PJ, Köksalan, M, Nasrabadi, N & Wallenius, J 2011, 'Convex cone-based partial order for multiple criteria alternatives', Decision Support Systems, vol. 51, no. 2, pp. 256-261. https://doi.org/10.1016/j.dss.2010.11.019

Convex cone-based partial order for multiple criteria alternatives. / Dehnokhalaji, Akram; Korhonen, Pekka J.; Köksalan, Murat; Nasrabadi, Nasim; Wallenius, Jyrki.

In: Decision Support Systems, Vol. 51, No. 2, 01.05.2011, p. 256-261.

Research output: Contribution to journalArticle

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