Convex cone-based partial order for multiple criteria alternatives

Dehnokhalaji A., Korhonen P. J., Koksalan M., Nasrabadi N., Wallenius J.

DECISION SUPPORT SYSTEMS, cilt.51, sa.2, ss.256-261, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.dss.2010.11.019
  • Dergi Adı: DECISION SUPPORT SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.256-261
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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. (C) 2010 Elsevier B.V. All rights reserved.