A Method for Constructing the Resulting Scale for Objects Presented in Interval Estimates in Multi-Criteria Evaluation and Selection Tasks

Abstract

For the tasks of multi-criteria evaluation and selection under uncertainty conditions, the most accurate is the presentation of object estimates in an interval form, which allows you to preserve the completeness of information. The correct application of the additive data aggregation mechanism in multi-criteria problems presented in various measurement scales requires that the initial estimates be transformed into the resulting homogeneous scales characterized by the same scope and number of gradations. At the same time, there is a problem of converting interval estimates into point estimates. The idea of the method for intersecting interval estimates and a large number of objects is to construct a histogram, and then equally divide the original measurement scale into segments, the numbers of which are identified with the point gradations of the resulting scale. An example of solving the problem of multi-criteria evaluation and comparison of a civil helicopter project relative to competitors in terms of tactical and technical characteristics and with interval-set sales prices is given.