Obtaining interval weights from interval reciprocal comparison matrices

In this paper, a new method is proposed to obtain the interval weights from interval reciprocal comparison matrices. Firstly, some basic theorems about consistent interval reciprocal comparison matrix are presented. Then, based on the theorems, an algorithm is proposed to approximate a column of approximated intervals which contains all of the consistent information. Furthermore, another algorithm is presented to obtain the interval weights based on the column of intervals. Finally, two examples are provided to illustrate the validity and practicality of the proposed method.