Algorithmic decision rule using ordinal criteria importance coefficients with a first ordinal metric scale
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 48-65 Cet article a éte moissonné depuis la source Math-Net.Ru

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An exact computational method is proposed for the preferability comparison of various solution variants in multicriteria problems with importance-ordered criteria using a common scale along which the growth of preferences slows down.
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A. P. Nelyubin; V. V. Podinovskii. Algorithmic decision rule using ordinal criteria importance coefficients with a first ordinal metric scale. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 1, pp. 48-65. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_1_a5/

[1] Shtoier R., Mnogokriterialnaya optimizatsiya. Teoriya, vychisleniya i prilozheniya, Radio i svyaz, M., 1992 | MR

[2] Saati T., Prinyatie reshenii. Metod analiza ierarkhii, Radio i svyaz, M., 1993

[3] Larichev O.I., Teoriya i metody prinyatiya reshenii, Uchebnik, Izd. trete, pererab. i dop., Universitetskaya kniga, Logos, M., 2006

[4] Lotov A.V., Pospelova I.I., Mnogokriterialnye zadachi prinyatiya reshenii, Uchebnoe posobie, Izdatelskii otdel f-ta VMiK MGU, MAKS Press, M., 2008

[5] Podinovskii V.V., Vvedenie v teoriyu vazhnosti kriteriev v mnogokriterialnykh zadachakh prinyatiya reshenii, Uchebnoe posobie, Fizmatlit, M., 2007

[6] Podinovskii V.V., “Mnogokriterialnye zadachi s uporyadochennymi po vazhnosti odnorodnymi kriteriyami”, Avtomatika i telemekhan., 1976, no. 11, 118–127 | MR | Zbl

[7] Podinovskii V.V., “Aksiomaticheskoe reshenie problemy otsenki vazhnosti kriteriev v mnogokriterialnykh zadachakh prinyatiya reshenii”, Sovrem. sostoyanie teorii issl. operatsii, Nauka, M., 1979, 117–145

[8] Podinovskii V.V., “Mnogokriterialnye zadachi optimizatsii s uporyadochennymi po vazhnosti kriteriyami”, Metody optimizatsii v ekonomiko-matematicheskom modelirovanii, Nauka, M., 1991, 308–324

[9] Podinovski V.V., “Multicriteria optimization problems involving importance-ordered criteria”, Modern Math. Meth. Optimizat., Akad. Verlag, Berlin, 1993, 254–267

[10] Podinovski V.V., “Problems with importance-ordered criteria”, User-Oriented Methodology and Techn. Decision Analysis and Support, Lect. Notes in Economics and Math. Systems, 397, Springer, Berlin, 1993, 150–155 | Zbl

[11] Podinovskii V.V., “Koeffitsienty vazhnosti kriteriev v zadachakh prinyatiya reshenii. Poryadkovye, ili ordinalnye, koeffitsienty vazhnosti”, Avtomatika i telemekhan., 1978, no. 10, 130–141 | MR | Zbl

[12] Fishburn P.C., Decision and value theory, Wiley, New York, 1964 | Zbl

[13] Osipova V.A., Podinovskii V.V., Yashina N.P., “O neprotivorechivom rasshirenii otnoshenii predpochteniya v zadachakh prinyatiya reshenii”, Zh. vychisl. matem. i matem. fiz., 24:6 (1984), 831–839 | MR | Zbl

[14] Podinovskii V.V., Potapov M.A., “Teoreticheskie osnovy i sistemy podderzhki prinyatiya mnogokriterialnykh reshenii”, Materialy XXXIV Mezhdunar. konf. “Informatsionnye tekhnologii v nauke, obrazovanii, telekommunikatsii i biznese”, Prilozh. k zh. “Otkrytoe obrazovanie” (20–30 maya 2007 g., Gurzuf, Ukraina), 2007, 87–89

[15] Podinovskii V.V., “Analiz zadach mnogokriterialnogo vybora metodami teorii vazhnosti kriteriev pri pomoschi kompyuternykh sistem podderzhki prinyatiya reshenii”, Izv. AN. Teoriya i sistemy upravleniya, 2008, no. 2, 64–68 | MR