Interactive bilevel multi-objective decision making

Xinping SHI*, H. Xia

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

66 Citations (Scopus)


From a perspective of non-linear bilevel multi-objective decision-making problem (BMDMP) of the leader-follower Stackelberg game, this paper presents a two-person bilevel multi-objective decision-making model an interactive algorithm for solving the problem. The algorithm simplifies a BMDMP by transforming it into separate multi-objective decision making problems at the upper lower levels, thereby avoiding the difficulty associated with non-convex mathematical programming to arrive at an optimal solution. In addition, the authors put forward the satisfactoriness concept as the upper level decision maker's preference. The algorithm facilitates the interactive nature of bilevel multiobjective decision making for non-inferior solutions. Thus, the algorithm provides a way to solve BMDMP.

Original languageEnglish
Pages (from-to)943-949
Number of pages7
JournalJournal of the Operational Research Society
Issue number9
Publication statusPublished - Sept 1997

Scopus Subject Areas

  • Management Information Systems
  • Strategy and Management
  • Management Science and Operations Research
  • Marketing

User-Defined Keywords

  • Bilevel programming
  • Decision making
  • Interactive
  • Multi-objective
  • Stackelberg game


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