Search

As to multi-criteria decision making problem where 2-dimension linguistic information was given by experts, this paper proposed a method based on evidence reasoning and VIKOR. First of all, based on the semantics of 2-dimension linguistic information and cognitive psychology of experts, this paper defined a function to transform 2-dimension linguistic information into belief structrue. Secondly, it put forward generalized belief structrue to overcome the inherent lack of belief structrue, and built a new distance between genernalized belief structrue according to the Pignistic probability distance between evidences. Ultimately, this paper transformed the 2-dimension linguistic decision matrixs of experts into belief decision matrixs, and used evidence reasoning method to aggregate the belief decision matrixs given by experts into a comprehensive belief decision matrix, based on which it employed VIKOR method to rank the alternatives. An illustrative example and comparative analysis indicates that the proposed method is effective, stable and can reduce the loss of decision information. [ABSTRACT FROM AUTHOR]