Group consensus based on evidential reasoning approach using interval-valued belief structures

This paper proposes a method to reach required group consensus (GC) and find GC-based solutions to multiple attribute group decision analysis (MAGDA) problems using interval-valued belief structures (IBSs) based on evidential reasoning approach. The GC at the attribute, alternative and global levels is constructed based on IBSs. Subjective weights of experts, weights of attributes, and utilities of experts for assessment grades are extended to intervals. Hereinto, the former two can be characterized by four kinds of relevant constraints, and combined with the constraints to be incorporated into the optimization problems for the GC. Also, utilities of experts for assessment grades with the consistent combination of relevant constraints and their intrinsic constraint contribute to the GC. Further, a strategy for experts to renew assessments is designed to improve the GC. A preferentially developed industry selection problem is solved by the proposed method to demonstrate its detailed implementation process, and its validity and applicability.

► Reaching group consensus (GC) based on interval-valued belief structures. ► Nonlinear optimization model to generate GC. ► Interval-valued parameters and their relevant constraints. ► Strategy for renewing experts’ assessments. ► The preferentially developed industry selection in a city, Anhui province, China.