Goal programming model of obtaining interval weights and consistency check of interval judgment matrix

Abstrcat Interval judgment matrix is the main component of interval analytic hierarchy process. Firstly the interval judgment matrix is defined. Then, on the basis of the study on the standard interval vectors, a goal programming model is built to induce interval weight vector from an interval judgment matrix. Meanwhile, consistency check is made by the optimal value of the GP model. An example is given by the end.