@article{ZVMMF_2011_51_5_a5,
author = {A. P. Nelyubin and V. V. Podinovskii},
title = {Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {802--813},
year = {2011},
volume = {51},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a5/}
}
TY - JOUR AU - A. P. Nelyubin AU - V. V. Podinovskii TI - Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 802 EP - 813 VL - 51 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a5/ LA - ru ID - ZVMMF_2011_51_5_a5 ER -
%0 Journal Article %A A. P. Nelyubin %A V. V. Podinovskii %T Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 802-813 %V 51 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a5/ %G ru %F ZVMMF_2011_51_5_a5
A. P. Nelyubin; V. V. Podinovskii. Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 802-813. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a5/
[1] Shtoier R., Mnogokriterialnaya optimizatsiya. Teoriya, vychisleniya i prilozheniya, Radio i svyaz, M., 1992
[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: Uch. posobie, Izdat. otdel f-ta VMiK MGU, MAKS Press, M., 2008
[5] Podinovskii V. V., “Kolichestvennaya vazhnost kriteriev”, Avtomatika i telemekhan., 2000, no. 5, 110–123
[6] Podinovski V. V., “The quantitative importance of criteria for MCDA”, J. Multi-Criteria Decision Analys., 11 (2002), 1–15
[7] Podinovskii V. V., Vvedenie v teoriyu vazhnosti kriteriev v mnogokriterialnykh zadachakh prinyatiya reshenii, Uch. posobie, Fizmatlit, M., 2007
[8] Edwards W., Barron F. H., “SMARTS and SMARTER: improved simple methods for multiattribute utility measurement”, Organizat. Behavior and Human Proc., 60 (1994), 306–325
[9] Podinovskii V. V., “Kolichestvennaya vazhnost kriteriev s diskretnoi shkaloi pervoi poryadkovoi metriki”, Avtomatika i telemekhan., 2004, no. 8, 196–203
[10] Podinovski V. V., “On the use of importance information in MCDA problems with criteria measured on the first ordered metric scale”, J. Multi-Criteria Decision Analys., 15 (2009), 163–174
[11] Podinovskii V. V., “Intervalnye otsenki vazhnosti kriteriev v mnogokriterialnoi optimizatsii”, Informatsionnye tekhnologii modelirovaniya i upravleniya, 2006, no. 8(33), 975–979
[12] Podinovskii V. V., “Intervalnye otsenki vazhnosti kriteriev v mnogokriterialnom vybore”, Sistemy upravleniya i informatsionnye tekhnologii, 2007, no. 1(27), 22–26
[13] Podinovskii V. V., “Intervalnaya informatsiya o vazhnosti kriteriev v analize mnogokriterialnykh zadach prinyatiya reshenii”, Nauchno-tekhn. informatsiya. Ser. 2. Informatsionnye protsessy i sistemy, 2007, no. 6, 15–18
[14] Kini R. L., Raifa Kh., Prinyatie reshenii pri mnogikh kriteriyakh: predpochteniya i zamescheniya, Radio i svyaz, M., 1981
[15] Podinovskii V. V., “Analiz reshenii pri mnozhestvennykh otsenkakh koeffitsientov vazhnosti kriteriev i veroyatnostei znachenii neopredelennykh faktorov v tselevoi funktsii”, Avtomatika i telemekhan., 2004, no. 11, 141–159
[16] Strekalovskii A. S., Orlov A. V., Bimatrichnye igry i bilineinoe programmirovanie, Fizmatlit, M., 2007
[17] Floudas C. A., Visweswaran V., “Quadratic optimization”, Handbook of Global Optimization, Kluwer, Dordrecht, 1995, 217–269
[18] Konno H., “A cutting plane algorithm for solving bilinear programs”, Math. Programming, 11 (1976), 14–27
[19] Ding X., Al-Khayyal F., “Accelerating convergence of cutting plane algorithms for disjoint bilinear programming”, J. Global Optimizat., 38 (2007), 421–436
[20] Salo A. A., Hämäläinen R. P., “Preference assessment by imprecise ratio statements”, Operat. Res., 40 (1992), 1053–1061
[21] Salo A. A., Hämäläinen R. P., “Preference programming through approximate ratio comparisons”, European J. Operat. Res., 82 (1995), 458–475
[22] Mateos A., Jiménez A., Ros-Insua S., “Solving dominance and potential optimality in imprecise multi-attribute additive problems”, Reliability Engng and System Safety, 79 (2003), 253–262
[23] Eum Y. S., Park K. S., Kim S. H., “Establishing dominance and potential optimality in multi-criteria analysis with imprecise weight and value”, Comput. and Operat. Res., 28 (2001), 397–409
[24] Lee K. S., Park K. S., Kim S. H., Park K., “Extended methods for identifying dominance and potential optimality in multi-criteria analysis with imprecise information”, European J. Operat. Res., 134 (2001), 557–563
[25] Podinovskii V. V., “Ob odnom podkhode k resheniyu zadach nelineinogo programmirovaniya pri netochnoi informatsii o koeffitsientakh vazhnosti i gradatsiyakh shkal kriteriev v additivnoi funktsii tsennosti”, Nauchno-tekhn. informatsiya. Ser. 2. Informatsionnye protsessy i sistemy, 2010, no. 4, 26–28
[26] Podinovskii V. V., Nelyubin A. P., “Bilineinoe programmirovanie v analize mnogokriterialnykh zadach prinyatiya reshenii metodami teorii vazhnosti kriteriev”, Materialy XXXVI Mezhdunar. konf. “Informatsionnye tekhnologii v nauke, sotsiologii, ekonomike i biznese” Prilozh. k zh. “Otkrytoe obrazovanie” (Ukraina, Yalta–Gurzuf, 20–30 maya 2009 g.), 2009, 146–148
[27] Horst R., Pardalos P., Thoai N., Introduction to global optimization, 2-d ed., Springer, Boston, 2000
[28] Nahapetyan A. G., “Bilinear programming”, Encyclopedia Optimizat., 2009, 279–282
[29] Gertz E. M., Wright S., “Object-oriented software for quadratic programming”, ACM Trans. Math. Software, 29 (2003), 58–81
[30] Gertz E. M., Wright S., “OOQP user guide”, Math. and Comput. Sci. Division Techn. Memorandum, 252 (2001), 1–62
[31] 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” (Ukraina, Gurzuf, 20–30 maya 2007 g.), 2007, 87–89
[32] Podinovskii V. V., “Analiz zadach mnogokriterialnogo vybora metodami teorii vazhnosti kriteriev pri pomoschi kompyuternykh sistem podderzhki prinyatiya reshenii”, Izv. RAN. Teoriya i sistemy upravleniya, 2008, no. 2, 64–68