Consensus model for interval-value non-additive BWM considering risk attitude
In the process of determining the weight of attributes,the risk attitudes of group members may differ,and interactions may exist among attributes in multi-attribute decision-making problems.To solve these issues,a group consensus based on the non-additive best and worst method(BWM)is constructed.First,considering attribute interactions in uncertain environment,an interval-value non-additive BWM is proposed,which characterizes the uncertain preference of expert's pairwise comparison of attributes by interval numbers to obtain the individual interval-valued importance index(weight)of attributes.Then,the non-additive BWM consensus model is constructed to convert the individual importance index of attributes into the consensual importance index.In the consensus reaching process,the membership function is used to measure the utility level of their risk attitudes,so as to explore the impact of group members'risk attitudes on the attributes consensual importance index and the consensus utility level under the pre-given budget constraint.Finally,the feasibility and validity of the model are verified by a case study.
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