Bol'shinstvo rabot, otnosyashchikhsya k modelyam mnogokriterial'noy optimizatsii, osnovano na kolichestvennom podkhode. Mezhdu tem, vo mnogikh prakticheskikh zadachakh prinyatiya resheniy, naryadu s kolichestvennymi, shiroko ispol'zuyutsya takzhe kachestvennye kriterii, izmeryaemye v poryadkovykh ili ball'nykh shkalakh. V matematicheskikh modelyakh takikh zadach tselevye funktsii dolzhny byt' zameneny otnosheniyami predpochteniya. V nastoyashchey rabote izuchayutsya mnogokriterial'nye zadachi prinyatiya resheniy, v kotorykh tselevaya struktura zadaetsya proizvol'nymi refleksivnymi otnosheniyami predpochteniya. Rassmatrivayutsya kak optimizatsionnye, tak i teoretiko-igrovye modeli. Ryad rezul'tatov publikuetsya vpervye v monograficheskom izlozhenii. Tekst soderzhit neobkhodimye predvaritel'nye svedeniya i soprovozhdaetsya mnogochislennymi primerami i risunkami, oblegchayushchimi ponimanie materiala. Dlya spetsialistov v oblasti issledovaniya operatsiy, a takzhe tekh otrasley nauki i praktiki, gde ispol'zuetsya teoriya prinyatiya resheniy.