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Consensus modeling with interactive utility and partial preorder of decision-makers, involving fairness and tolerant behavior


[ 1 ] Instytut Informatyki, Wydział Informatyki i Telekomunikacji, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.3] Information and communication technology

Year of publication


Published in

Information Sciences

Journal year: 2023 | Journal volume: vol. 638

Article type

scientific article

Publication language


  • Group decision-making
  • Consensus
  • Choquet integral
  • Utility preference
  • Gini coefficient
  • Orness operator

EN Reaching consensus in group decision-making (GDM) is usually achieved by minimizing opinion deviation (distance) or maximizing the utility of the group in traditional mathematical modeling. While the former ignores the preferences (individual values) of decision-makers (DMs), the latter is most often based on the implicit assumption that DMs are mutually independent, which results in the loss of a large amount of decision-making information about the actual interactions between DMs. Moreover, numerous studies on GDM did not pay enough attention to individual participation and satisfaction in the decision-making process. To overcome these defects, in this paper, we construct a new kind of consensus models for group utility optimization. We employ 2- additive Choquet integral to aggregate the utilities of individual DMs interacting pairwise. Linear programming is used to learn fuzzy measures (weights) that are consistent with a partial preorder of DMs. Moreover, we describe the coordinator’s fairness preference and tolerant behavior with the help of Gini coefficient and orness operator, thus exploring the impacts of coordinator’s psychological behaviors on consensus reaching. The orness operator of the Choquet integral is generalized to a particularly useful 2-additive form with Möbius representation. Finally, a comparative and parametric analysis is performed to illustrate and validate the proposed models on a case study concerning the price negotiation of medical insurance drugs.

Date of online publication


Pages (from - to)

118933-1 - 118933-21





Article Number: 118933

Ministry points / journal


Impact Factor

8,1 [List 2022]

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