The method of dominants in the problem of ranking interval objects specified by three points

Abstract

A method for ranking interval objects (ordering them by preference) is proposed and analyzed; these objects are nonreusable, and the results of their use are represented by pessimistic, optimistic, and most probable estimates. The method is based on the approximation of the binary probability preference relation by a binary preference relation with respect to a specially designed characteristic-dominant based on the three estimates indicated above. The method is verified using statistical modeling (the Monte Carlo method). It is shown that the proposed method ensures sufficiently high approximation accuracy in most cases.