Interactive evolutionary multi-objective optimization for quasi-concave preference functions

Fowler J. W., Gel E. S., KÖKSALAN M. M., Korhonen P., Marquis J. L., Wallenius J.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, vol.206, no.2, pp.417-425, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 206 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.1016/j.ejor.2010.02.027
  • Journal Name: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.417-425
  • Keywords: Interactive optimization, Multi-objective optimization, Evolutionary optimization, Knapsack problem, MULTIATTRIBUTE UTILITY-THEORY, CRITERIA DECISION-MAKING
  • Middle East Technical University Affiliated: Yes

Abstract

We present a new hybrid approach to interactive evolutionary multi-objective optimization that uses a partial preference order to act as the fitness function in a customized genetic algorithm. We periodically send solutions to the decision maker (DM) for her evaluation and use the resulting preference information to form preference cones consisting of inferior solutions. The cones allow its to implicitly rank solutions that the DM has not considered. This technique avoids assuming an exact form for the preference function, but does assume that the preference function is quasi-concave. This paper describes the genetic algorithm and demonstrates its performance on the multi-objective knapsack problem. (C) 2010 Elsevier By. All rights reserved.