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A multivariate minimum cost consensus approach for two-level group decision making

Author

Listed:
  • Yong Liu

    (Jiangnan University)

  • Ting Zhou

    (Jiangnan University
    Yantai Nanshan University)

  • Wei-xue Diao

    (Jiangnan University)

  • Jinhong Yi

    (Jiangnan University)

Abstract

There exist a variety of two-level group decision making problems with multiple constraints. Two-level group decision-making refers to decisions made when there is a decision-making relationship between the upper and lower levels in the decision-making environment. For example, the issue of Sino-US trade decision-making: Sino-US trade decision-making is not only affected by factors in the international environment and national relations, but also restricted by different domestic stakeholders. Therefore, the study of Sino-US trade decisions from a single level (international level or domestic level) has a certain degree of one-sidedness. China-US trade decision-making is a process of decision-making in the national interests of China and the United States. At the international level, national interest is a holistic concept, while at the domestic level, national interest is the integration of domestic interests. Therefore, Sino-US trade decision-making is a process where the two countries' national interests and domestic interests work together. Therefore, the importance of studying the two-level group decision-making problem is becoming more and more prominent. To reach a scientific consensus and reduce consumes of time, labor and funds as a result of multiple rounds of negotiation between interest groups at different level, by introducing two-level decision and multivariate programming into the minimum cost consensus model, we establish a multivariate minimum cost consensus model for two-level decision making. First, we construct a multivariable minimum cost consensus model of the intra-group that considers subordinate DMs. Second, considering the achievement of inter-group consensus and superior DMs, from the perspective of group negotiation and system coordination, we use the asymmetric Nash bargaining theory to construct an inter-group consensus model, and then we exploit the proposed approach to solve the global consensus of the intra-group and inter-group levels. Finally, the proposed approach is exploited to deal with the problem of pollutant incineration from waste incineration.

Suggested Citation

  • Yong Liu & Ting Zhou & Wei-xue Diao & Jinhong Yi, 2022. "A multivariate minimum cost consensus approach for two-level group decision making," OPSEARCH, Springer;Operational Research Society of India, vol. 59(3), pages 839-861, September.
    • Handle: RePEc:spr:opsear:v:59:y:2022:i:3:d:10.1007_s12597-022-00571-7
    DOI: 10.1007/s12597-022-00571-7
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    References listed on IDEAS

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