The group decision-making problems with the preference information about the alternatives provided by the decision makers in the forms of interval multiplication judgement matrix and interval reciprocal judgement matrix is studied.

Then,a compatibility index of interval number judgement matrices is presented,and according to the characteristics of interval number complementary judgement matrix,a criterion to measure the compatibility of interval number complementary judgement matrices is also provided.

In this paper we give three ranking model based on normalization of interval weights of interval number complementary judgement matrix.

The concepts of interval number complementary judgement matrix, mean complementary judgement matrix and deviation matrix are defined, and a priority method based on possibility and error analysis for interval number complementary judgement matrix is proposed.

Research on the consistency and the priority method of interval number complementary judgment matrix;

There is few research on properties of interval number complementary judgment matrix in literatures at home and abroad,so the priority approach research is short of the base of corresponding theory.

Firstly,the concept of interval numbers consistency complementary judgment matrix and its judgment theorem are given.

This paper defines the incomplete interval complementary judgment matrix, the directed graph of incomplete interval complementary judgment matrices and the additive consistency of incom-plete interval complementary judgment matrices.