ABSTRACTS OF ARTICLES OF THE JOURNAL "INFORMATION TECHNOLOGIES".
No. 11. Vol. 31. 2025

DOI: 10.17587/it.31.563-577

V. P. Korneenko, Cand. of Tech. Sc., Associate Professor,
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow

Methods of Transition to the Resulting Quantitative and Ordinal Scale in Multi-Criteria Tasks

Received on 26.02.2025
Accepted on 13.03.2025

The methods of constructing the resulting homogeneous scales for the correct application of the additive aggregation mechanism in the process of solving problems of multi-criteria evaluation and selection of objects presented in different types of measurement scales are considered. An assessment off the degree off uniformity is proposed when the maximum and minimum values of the criteria coincide. The method of transition to the resulting scale according to the criterion of equal distance of the points of division of the continuous scale from the gradations of the discrete scale is considered, and the method of constructing the resulting scale by dividing the initial continuous scales of criteria into segments, the numbers of which correspond to the gradations of the ordinal scale, is also considered. With this transition, the estimates of objects from the division segment correspond to the gradation of the ordinal scale, which leads to a loss of information distinctness of objects in the resulting scale. In this regard, this article presents an effective method of transition to the resulting scale, which ensures a one-to-one correspondence between the estimates off objects in the initial quantitative and in the resulting quantitative-ordinal scale. The presented methods are mathematically justified and demonstrated in solving the problem of multi-criteria evaluation of the effectiveness off the largest companies in the US aerospace and defense industries.
Keywords: homogeneous scales of criteria, information distinctness of objects, initial and resulting scales of criteria

P. 563-577

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