Minimum-Cost Consensus Models Under Aggregation Operators

  • Authors:

  • Guiqing Zhang;Yucheng Dong;Yinfeng Xu;Hongyi Li

  • Affiliations:

  • The State Key Laboratory for Manufacturing Systems Engineering, Department of Management Science, School of Management, Xi'an Jiaotong University, Xi'an, China;Department of Organization and Management, School of Management, Xi'an Jiaotong University, Xi'an, China;The State Key Laboratory for Manufacturing Systems Engineering, Department of Management Science, School of Management , Xi'an Jiaotong University, Xi'an, China;Faculty of Business Administration, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
  • Year:
  • 2011

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Abstract

In group decision making, consensus models are decision aid tools and help experts modify their individual opinions to reach a closer agreement. Based on the concept of minimum-cost consensus, this paper proposes a novel framework to achieve minimum-cost consensus under aggregation operators. Analytical results indicate that the proposed framework reduces to the consensus model of Ben-Arieh when the selected aggregation operator is the ordered weighted averaging (OWA) operator with weight vector $(1/2, \ldots, 0, \ldots, 1/2)^{T}$ . Furthermore, this paper closely examines the minimum-cost consensus models with a linear cost function under the common aggregation operators (e.g., the weighted averaging operator and the OWA operator). Linear-programming-based approaches are also developed to solve these models. The results of this paper significantly contribute to efforts to develop the consensus model of Ben-Arieh