An interactive approach for multiobjective decision making


Koksalan M., Karasakal E.

JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, vol.57, no.5, pp.532-540, 2006 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 5
  • Publication Date: 2006
  • Doi Number: 10.1057/palgrave.jors.2602019
  • Journal Name: JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
  • Journal Indexes: Science Citation Index Expanded, Social Sciences Citation Index, Scopus
  • Page Numbers: pp.532-540
  • Keywords: multiobjective decision making, interactive approach, LINEAR-PROGRAMMING PROBLEMS, MULTIPLE CRITERIA PROBLEM, UTILITY-FUNCTIONS, OPTIMIZATION

Abstract

We develop an interactive approach for multiobjective decision-making problems, where the solution space is defined by a set of constraints. We first reduce the solution space by eliminating some undesirable regions. We generate solutions (partition ideals) that dominate portions of the efficient frontier and the decision maker (DM) compares these with feasible solutions. Whenever the decision maker prefers a feasible solution, we eliminate the region dominated by the partition ideal. We then employ an interactive search method on the reduced solution space to help the DM further converge toward a highly preferred solution. We demonstrate our approach and discuss some variations.