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Computational Mathematics and Mathematical Physics

, Volume 57, Issue 9, pp 1475–1483 | Cite as

Multicriteria choice based on criteria importance methods with uncertain preference information

  • A. P. NelyubinEmail author
  • V. V. Podinovski
Article

Abstract

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

multicriteria decision making problems incomplete information on preferences conciliatory decisions surrogate importance coefficients maximum likelihood optimal alternative criteria importance theory 

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Blagonravov Institute of Mechanical EngineeringRussian Academy of SciencesMoscowRussia
  2. 2.National Research University Higher School of EconomicsMoscowRussia

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