Group decision making based on vague preference relations

Vague sets, characterized by a truth-membership function and a false-membership function, was introduced by Gau and Buehrer [1]. In this paper, we define the concepts of vague preference relation and incomplete vague preference relation. Approaches to group decision making based on vague preference relations and based on incomplete vague preference relations respectively are proposed. Then, the vague arithmetic averaging operator and vague weighted arithmetic averaging operator are used to aggregate vague preference information. The ranking method proposed is applied to ranking and selection of alternatives. Finally, by a numerical example, we illustrate the proposed approach.