A Novel Axiomatic Design-based Method for Membrane Material Supplier Selection Considering Group Consensus

Abstract

This paper proposes an axiomatic design-based mathematical programming method for membrane material supplier selection with real number and linguistic term, in which the weights of experts and attributes are unknown. Firstly, this paper proposes a new information measure based on axiomatic design and defines the information content of linguistic term set. Then, based on the assumption that the attribute weights with respect to each expert are different, this paper constructs a mathematical programming model through maximizing the deviation to determine the attribute weights. Subsequently, considering the differences among different experts, this paper constructs a mathematical programming model to derive experts’ weights by maximizing group consensus. The group information content of each alternative is calculated to determine the ranking order of alternatives. Finally, the proposed method is applied to solve the membrane material supplier selection problem for verifying its practicability and effectiveness. Besides, the proposed method is compared with other methods to show its advantages.