Abstract
Recently, the consensus model of group decision-making in uncertain circumstances has received extensive attention. Existing models focus on either minimum cost (maintain the total budget) or maximum utility (improve satisfaction). Based on the minimum cost consensus model, a new multicriteria robust minimum cost consensus model with utility preference is proposed in this paper. Firstly, considering the inherent uncertainty of input data, the unit adjustment cost of experts is described under three robust scenarios. Subsequently, a cost consensus model that expresses the views of decision-makers in a variety of uncertain preference forms such as utility function and Gaussian distribution is proposed. Finally, through the application in emergency decision-making, the cost model and the utility model were compared and analyzed to verify the effectiveness and superiority of the proposed model.
Highlights
Group decision-making (GDM) is a procedure in which multiple people participate in the negotiation and make a final decision [1,2,3,4]
In order to construct a robust optimization model of the minimum cost consensus model (MCCM) with utility preferences, the unit adjustment cost of uncertain parameters is placed in an uncertainty set
We found that the consensus cost and utility of robust models are significantly higher than of the original
Summary
Group decision-making (GDM) is a procedure in which multiple people participate in the negotiation and make a final decision [1,2,3,4]. E above models either consider the negotiation cost or study the utility level of GDM, which well deal with the consensus decision-making problem. As an improvement, based on the classical MCCM, three robust minimum cost consensus models with utility preferences are studied and a new optimization method for solving the uncertainty of unit adjustment cost is proposed. By putting the unit adjustment cost of DMs into an uncertainty set and describing the utility preference of GDM with different functions, the optimal solution satisfying most constraints can be obtained in the worst case. (i) Considering the consensus problem of multicriteria decision-making with minimum cost and maximum utility under an uncertain environment, we put forward the study to describe DMs’ preferences in multiple uncertain preference forms.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
