Interactive approaches for biobjective problems with progressively changing solution sets

KARAKAYA G., Koksalan M.

INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH, vol.28, no.1, pp.356-375, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1111/itor.12576
  • Journal Name: INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, ABI/INFORM, Aerospace Database, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, INSPEC, Metadex, vLex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.356-375
  • Middle East Technical University Affiliated: Yes

Abstract

In this study, we develop interactive approaches to find a satisfactory alternative of a decision maker (DM) having a quasiconvex preference function where the alternative set changes progressively. In this environment, we keep searching the available set of alternatives and estimating the preference function of the DM. As new alternatives emerge, we make better use of the available preference information and eventually converge to a preferred alternative of the DM. We test our approaches on biobjective, multi-item, multi-round auction problems. The results show that our approaches work well in terms of both the preference function value of the obtained solution and the amount of preference information required.