Geodesic
Multicriteria choice based on criteria importance methods with uncertain preference information
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 9, pp. 1494-1502

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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. 
@article{ZVMMF_2017_57_9_a6,
     author = {A. P. Nelyubin and V. V. Podinovski},
     title = {Multicriteria choice based on criteria importance methods with uncertain preference information},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1494--1502},
     publisher = {mathdoc},
     volume = {57},
     number = {9},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_9_a6/}
}
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A. P. Nelyubin; V. V. Podinovski. Multicriteria choice based on criteria importance methods with uncertain preference information. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 9, pp. 1494-1502. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_9_a6/