Abstract: With regard to the group decision- making under interval-number judgment matrixes, a new method is proposed. Based on the theory of set-value statistics, a new judgment matrix consisting of some defining-numbers with certain reliabilities is constructed equivalent to judgment matrixes with interval-number, and the model of computing and revising the reliable degree of the aggregated values of group information is established. A simple algorithm for making alternatives is given through dealing with the new judgment matrix by the sum-product method. Finally,a numerical example is used to illustrate the validity and the application of the method.

Key words: interval-number judgment matrix, group decsiion-making, set-value statistics, reliabiltiy