Three-pont Comparison of Interval Weight Estimation Methods under a Pairwise Comparison Matrix Taking Care of the Non-uniqueness

Abstract

In this paper, interval priority weight estimation methods from a pairwise comparison matrix are studied. This estimation problem has non-unique solutions except for special cases. The usefulness of the interval priority estimation has been investigated by demonstrating the accuracy in ranking alternatives by the estimated interval priority weights whose sum of the centers is one. In this paper, we investigate the accuracy of the set of estimated priority intervals. As it is not very easy to evaluate the accuracy of the whole members of the solution set, the accuracies of both endpoints of the bounded interval composed of whole solutions in the vector space are evaluated together with the accuracy of the estimated interval priority weights whose sum of the centers is one in this paper. The results of numerical experiments are reported.