Возможности процедур оптимизации в условиях неопределенности при их синтезе с выбором решения по многим критериям

Мягкие измерения и вычисления. 2023. № 5. С. 22–36.

Brodetskiy G., Gusev D., Shidlovskii I., Свиридова О. А.

The aim of the study is to improve and modify a special approach that will allow synthesizing procedures for choosing the best alternatives for many criteria with decision optimization procedures under uncertainty. The proposed approach useы direct methods of multicriteria optimization and methods of choosing solutions under uncertainty. In this case, the following is accepted: 1) the uncertainty factor is formalized as a discrete intervention of a case with a finite number of outcomes; 2) pаrtial criteria are presented in the form of two groups (in one - partial criteria that are influenced by the uncertainty factor; in the other - not); 3) the number of considered alternatives is finite and given a priori. The developed modification is easy to implement and for the first time will allow taking into account the impact of uncertainty factors only on the indicators of some specific particular criteria, which, as a rule, reflects the realities of the relevant situations in practice. A numerical illustration is given on the example of a specific problem.

Keywords: многокритериальная оптимизация, multicriteria optimization, choice under uncertainty, выбор в условиях неопределенности, special synthesis procedures, специальные процедуры синтеза