Utilization of ratio data in the estimation of robust preference relation based on pairwise comparison

Abstract

GRIP method is a useful tool for narrowing down the alternatives by all addtive utility functions compatible with given pairwise comparison data in multiple criteria decision making problems. It has been utilized pairwise comparison data showing which alternative is preferred and which pair of alternatives has a bigger preference difference. In this study, we propose to utilize the ratio data of preference intensity difference between alternative pairs and the ratio data of criterion-wise preference intensity difference between alternatives. We demonstrate that we preserve the tractability of the method and a more informative robust preference relation is estimated by the utilization of those ratio data.