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Interactive Multiobjective Group Decision Making with Interval Parameters

Author

Listed:
  • Zaharias Xanthopulos

    (IBM Global Services, Supply Chain Planning Practice, Waltham, Massachusetts 02254)

  • Emanuel Melachrinoudis

    (College of Engineering, Northeastern University, Boston, Massachusetts 02115)

  • Marius M. Solomon

    (College of Business Administration, Northeastern University, Boston, Massachusetts 02115)

Abstract

This paper proposes a new framework for the solution of interactive multiobjective group decision-making problems with interval parameters. Its novelty stems from a learning phase where decision makers (DMs) explore the structural characteristics of the specific Multiple Criteria Decision Making (MCDM) problem. This provides important and timely feedback to the DMs. Its core consists of four indices and their relationships. The solution framework consists of three stages. In the first, each DM provides the limits of variation for each problem parameter. These are subsequently combined into a unique interval of variation. Then, the stochastic multiobjective problem is transformed into a deterministic one. In the second stage, DMs use the four MCDM characteristics to familiarize themselves with the problem before expressing their preferences for nondominated solutions. The DMs are then guided through an interactive procedure to find their best nondominated solutions. In the last stage, all best nondominated solutions provided by the DMs are combined using a twofold approach to find the best-compromise nondominated solution. This final choice represents the opinion of the group of DMs. Our results show that the learning phase is beneficial to DMs in judging the quality of solutions, leading to better informed decisions.

Suggested Citation

  • Zaharias Xanthopulos & Emanuel Melachrinoudis & Marius M. Solomon, 2000. "Interactive Multiobjective Group Decision Making with Interval Parameters," Management Science, INFORMS, vol. 46(12), pages 1585-1601, December.
    • Handle: RePEc:inm:ormnsc:v:46:y:2000:i:12:p:1585-1601
    DOI: 10.1287/mnsc.46.12.1585.12071
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    References listed on IDEAS

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    Cited by:

    1. Karasakal, Esra Koktener & Michalowski, Wojtek, 2003. "Incorporating wealth information into a multiple criteria decision making model," European Journal of Operational Research, Elsevier, vol. 150(1), pages 204-219, October.
    2. Manel Baucells & Rakesh K. Sarin, 2003. "Group Decisions with Multiple Criteria," Management Science, INFORMS, vol. 49(8), pages 1105-1118, August.

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