Multicriteria choice based on criteria importance methods with uncertain preference information

Computational Mathematics and Mathematical Physics. 2017. Vol. 57. No. 9. P. 1475–1483.

Нелюбин А. П., Podinovskiy V. V.

Multicriteria choice methods are developed by applying methods of criteria importance
theory with uncertain information on criteria importance and with preferences varying along their
scale. Formulas are given for computing importance coefficients and importance scale estimates that
are “characteristic” representatives of the feasible set of these parameters. In the discrete case, an
alternative with the highest probability of being optimal (for a uniform distribution of parameter value
probabilities) can be used as the best one. It is shown how such alternatives can be found using the
Monte Carlo method.

Keywords: criteria importance theory, теория важности критериев, multicriteria decision making problems, многокритериальные задачи принятия решений, неполная информация о предпочтениях, incomplete information on preferences, conciliatory decisions, surrogate importance coefficients, согласительные решения, суррогатные коэффициенты важности

Publication based on the results of: Development and research of new mathematical models in socio-economic and political spheres (2016)