Study on the Extremum Point of Interval Judgment Matrix

In this paper, the author puts forward a new thought to solve the problem of calculating the weight vector for interval judgment matrix. The sample spaces of interval judgment matrix are mapped to n(n-1)/2 dimensionality of space. The paper gets the relationship between the order weights and the element in the vector by rank aggregation method. The result shows when the judgment is strict priorities the extremum locates the acme of the vector space. The theory provides a new thought to calculating the weight vector from interval judgment matrix. Also the article gives the steps of the method of extremum point to calculate the weight vector. At the end of the paper an example is given to show the process of the method