@article{ZVMMF_2008_48_11_a6,
author = {V. V. Podinovskii},
title = {Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1979--1998},
year = {2008},
volume = {48},
number = {11},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a6/}
}
TY - JOUR AU - V. V. Podinovskii TI - Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2008 SP - 1979 EP - 1998 VL - 48 IS - 11 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a6/ LA - ru ID - ZVMMF_2008_48_11_a6 ER -
%0 Journal Article %A V. V. Podinovskii %T Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2008 %P 1979-1998 %V 48 %N 11 %U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a6/ %G ru %F ZVMMF_2008_48_11_a6
V. V. Podinovskii. Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 11, pp. 1979-1998. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_11_a6/
[1] Podinovskii V. V., “Kharakteristiki i parametry mnogokriterialnoi struktury predpochtenii i intervalnye otsenki vazhnosti kriteriev”, Materialy XXXIII Mezhdunar. konf. “Informatsionnye tekhnologii v nauke, sotsiologii, ekonomike i biznese”, Prilozh. k zh. “Otkrytoe obrazovanie” (Ukraina, Gurzuf, 5–15 oktyabrya 2006 g.), 2006, 42–43
[2] Verian Kh. R., Mikroekonomika, YuNITI, M., 1997
[3] Venttsel E. S., Vvedenie v issledovanie operatsii, Sov. radio, M., 1964 | MR
[4] Podinovskii V. V., Gavrilov V. M., Optimizatsiya po posledovatelno primenyaemym kriteriyam, Sov. radio, M., 1972
[5] Podinovskii V. V., “Ob otnositelnoi vazhnosti kriteriev v mnogokriterialnykh zadachakh prinyatiya reshenii”, Mnogokriterialnye zadachi prinyatiya reshenii, Mashinostr., M., 1978, 48–82
[6] Podinovskii V. V., Menshikova O. P., “Primenenie metodov lineinogo programmirovaniya dlya reshenii zadach s uporyadochennymi po vazhnosti kriteriyami”, I Vses. sovesch. po statist. i diskr. analizu nechisl. inform., ekspertnym otsenkam i diskr. optimizatsii, Tezisy dokl., VINITI, M., 1981, 145–146
[7] Menshikova O. P., Podinovskii V. V., “Postroenie otnosheniya predpochteniya i yadra v mnogokriterialnykh zadachakh s uporyadochennymi po vazhnosti neodnorodnymi kriteriyami”, Zh. vychisl. matem. i matem. fiz., 28:5 (1988), 647–659 | MR
[8] Podinovski V. V., “Criteria importance theory”, Multiobjective Probl. Math. Program., Lect. Notes in Econom. Math. Systems, 351, Springer, Berlin, 1991, 64–70 | MR
[9] Podinovski V. V., “Criteria importance theory”, Math. Soc. Sci., 27 (1994), 237–252 | DOI | MR | Zbl
[10] Podinovskii B. B., “Mnogokriterialnye zadachi optimizatsii s uporyadochennymi po vazhnosti kriteriyami. Otsenka effektivnosti reshayuschikh pravil v diskretnykh mnogokriterialnykh zadachakh”, Metody optimizatsii v ekonomiko-matem. modelirovanii, Nauka, M., 1991, 308–336
[11] Podinovski V. V., “Multicriteria optimization problems involving importance-ordered criteria. Efficiency estimation of decision rules in discrete multiobjective problems”, Modern Math. Meth. Optimizat., Akademie, Berlin, 1993, 254–277
[12] Levanon Y., Passy U., “The indifference band in multiple criteria decision problems”, Omega, 8 (1980), 647–654 | DOI
[13] Passy U., Levanon Y., “Analysis of multiobjective decision problems by the indifference band approach”, J. Optimizat. Theory and Appl., 43:2 (1984), 205–235 | DOI | MR | Zbl
[14] Berman V. P., Naumov G. E., “Otnoshenie predpochteniya s intervalnym otsenivaniem zameschenii v kriterialnom prostranstve”, Avtomatika i telemekhan., 1989, no. 3, 139–153 | MR | Zbl
[15] Menshikova O. P., Podinovskii V. V., “Otnoshenie predpochteniya s intervalami neopredelennosti zameschenii”, Avtomatika i telemekhan., 2007, no. 6, 157–165 | MR
[16] Berman V. P., Naumov G. Y., Podinovski V. V., “Interval value tradeoffs: theory, methods, software, and applications”, Multiple criteria decision making, Springer, Berlin, 1992, 81–92
[17] Berman V. P., Naumov G. Y., Podinovski V. V., “Interval value tradeoffs methodology and techniques of multi-criteria decision analysis”, User-oriented Methodology and Techn. of Decision Analys and Support, Springer, Berlin, 1993, 144–149 | Zbl
[18] Podinovski Vic. V., “A DSS for multiple criteria analysis with imprecisely specified trade-offs”, European J. Operat. Res., 113 (1999), 261–270 | DOI | Zbl
[19] Nogin V. D., “Otsenki dlya mnozhestva optimalnykh reshenii v usloviyakh otnosheniya predpochteniya, invariantnogo otnositelno lineinogo polozhitelnogo preobrazovaniya kriteriev”, IV Vses. seminar po issl. operatsii i sistemnomu analizu “Prinyatie reshenii v usloviyakh mnogokriterialnosti i neopredelennosti”, Tezisy dokl., VShPD, M., Batumi, 1983, 37
[20] Nogin V. D., Protodyakonov I. O., Evlampiev I. I., Osnovy teorii optimizatsii, Uchebnoe posobie, Vyssh. shkola, M., 1986 | Zbl
[21] Noghin V. D., “Estimation of the set of nondominated solutions”, Numer. Funct. Analys. and Appl., 12 (1991), 507–515 | DOI | MR
[22] Nogin V. D., “Otsenivanie mnozhestva nedominiruemykh reshenii”, IV Vses. shkola-seminar “Statistich. i diskretnyi analiz dannykh i ekspertnoe otsenivanie”, Odessa, 1991, 142–144
[23] Noghin V. D., “Estimation of the fuzzy set of nondominated solutions”, Internat. Congress on Comput. Systems and Appl. Math., Abstracts, Sankt-Peterbourg, 1993, 32–33
[24] Noghin V. D., “Upper estimate for a fuzzy set of nondominated solutions”, Fuzzy Sets and System., 67 (1994), 303–315 | DOI | MR | Zbl
[25] Noghin V. D., “On the theory of relative importance of criteria”, Internat. Congress on Comput. Systems and Appl. Math., Abstracts, Sankt-Peterbourg, 1993, 33–34
[26] Noghin V. D., “Theory of relative importance of criteria: a completeness theorem”, Third Internat. Workshop “Multiple criteria problems under uncertainty”, Abstracts, Orekhovo-Zuevo, 1994, 68
[27] Nogin V. D., “Perspektivy i napravleniya razvitiya kolichestvennoi teorii otnositelnoi vazhnosti kriteriev”, Ros. nauchno-tekhn. konf. “Innovatsionnye naukoemkie tekhnologii dlya Rossii”, Tezisy dokl., SPbGTU, SPb., 1995, 143
[28] Noghin V. D., “Relative importance of criteria: a quantitative approach”, J. Multicriteria Decision Analys, 6 (1997), 355–363 | 3.0.CO;2-O class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | Zbl
[29] Nogin V. D., “Opredelenie i obschie svoistva otnositelnoi vazhnosti kriteriev”, Protsessy upravleniya i ustoichivost, SPbGU, SPb., 1998, 373–381
[30] Nogin V. D., “Lineinaya svertka s tochki zreniya teorii otnositelnoi vazhnosti kriteriev”, Mezhdunar. nauchno-praktich. konf. “Sistemnyi analiz v proektirovanii i upravlenii”, Tezisy dokl., SPbGTU, SPb., 1999, 42–43
[31] Noghin V. D., “What is the relative importance of criteria and how to use it in MCDM”, Multiple Criteria Decision Making New Millennium, Proc. 15-th Internat. Conf. MCDM (Ankara, Turkey, July 2000), Springer, Berlin, 2001, 59–68 | MR | Zbl
[32] Noghin V. D., “Introduction to the theory of relative importance of criteria”, 52-nd Meeting European Working Group “Multicriteria Aids for Decisions”, Abstracts, Lithuania, Vilnius, 2000, 54
[33] Nogin V. D., “Ispolzovanie kolichestvennoi informatsii ob otnositelnoi vazhnosti kriteriev v prinyatii reshenii”, Nauchno-tekhn. vedomosti SPbGTU, 2000, no. 1, 89–94
[34] Nogin V. D., “Teorema o polnote v teorii otnositelnoi vazhnosti kriteriev”, Vestn. SPbGU. Ser. matem., mekhan., astron., 40:20 (2000), 13–18 | MR
[35] Nogin V. D., Tolstykh I. G., “Ispolzovanie nabora kolichestvennoi informatsii ob otnositelnoi vazhnosti kriteriev v protsesse prinyatiya reshenii”, Zh. vychisl. matem. i matem. fiz., 40:11 (2000), 1593–1601 | MR | Zbl
[36] Noghin V. D., “What is the relative importance of criteria and how to use it in MCDM”, Lect. Notes Econom. and Math. Systems, 507, Springer, Berlin, 2001, 59–68 | MR | Zbl
[37] Nogin V. D., “Prinyatie ekonomicheskikh reshenii na osnove kolichestvennoi informatsii ob otnositelnoi vazhnosti kriteriev”, X Mezhdunar. Bankovskii kongress i Mezhdunar. nauchno-praktich. konf. “Obrazovanie i biznes: rossiiskaya praktika i zarubezhnyi opyt”, Tezisy dokl., SPb., 2001, 192–193
[38] Noghin V. D., “Geometrical aspects of relative importance of criteria”, 11-th Workshop Working Group “Entscheidungstheorie und Praxis”, Abstracts (Germany, March 2001), Inst. Math., Erlangen, 2001
[39] Nogin V. D., Prinyatie reshenii v mnogokriterialnoi srede: kolichestvennyi podkhod, Fizmatlit, M., 2002 ; Изд. 2-е, 2005 | Zbl
[40] Larichev O. I., Teoriya i metody prinyatiya reshenii, Logos, M., 2002
[41] Podinovskii V. V., Vvedenie v teoriyu vazhnosti kriteriev v mnogokriterialnykh zadachakh prinyatiya reshenii, Fizmatlit, M., 2007
[42] Gaft M. G., Podinovskii V. V., “O postroenii reshayuschikh pravil v zadachakh prinyatiya reshenii”, Avtomatika i telemekhan., 1981, no. 6, 128–138 | MR | Zbl
[43] Podinovskii V. V., “Aksiomaticheskoe reshenie problemy otsenki vazhnosti kriteriev v mnogokriterialnykh zadachakh prinyatiya reshenii”, Sovremennoe sostoyanie teorii issled. operatsii, Nauka, M., 1979, 117–145
[44] Ozernoi V. M., Gaft M. G., “Postroenie reshayuschikh pravil v mnogokriterialnykh zadachakh”, Probl. prinyatiya reshenii, In-t probl. upravleniya, M., 1974, 30–44
[45] Ozernoi V. M., Gaft M. G., “Metodologiya resheniya diskretnykh mnogokriterialnykh zadach”, Mnogokriterialnye zadachi prinyatiya reshenii, Mashinostr., M., 1978, 14–47
[46] Podinovskii V. V., Nogin V. D., Pareto-optimalnye resheniya mnogokriterialnykh zadach, Fizmatlit, M., 1982
[47] Gaft M. G., Prinyatie reshenii pri mnogikh kriteriyakh, Znanie, M., 1979
[48] Berezovskii B. A., Borzenko V. I., Kempner L. M., Binarnye otnosheniya v mnogokriterialnoi optimizatsii, Nauka, M., 1981 | MR
[49] Makarov I. M. u dr., Teoriya vybora i prinyatiya reshenii: uchebnoe posobie, Fizmatlit, M., 1982
[50] Rozen V. V., Tsel – optimalnost – reshenie (matematicheskie modeli prinyatiya optimalnykh reshenii), Radio i svyaz, M., 1982 | MR
[51] Vilkas E. I., Optimalnost v igrakh i resheniyakh, Fizmatlit, M., 1990 | MR
[52] Larichev O. I., Moshkovich E. M., Kachestvennye metody prinyatiya reshenii, Fizmatlit, M., 1996 | Zbl
[53] Nogin V. D., “Vektornaya (mnogokriterialnaya) optimizatsiya”, Sistemnyi analiz i prinyatiya reshenii, Vyssh. shkola, M., 2004, 39–43
[54] Klimova O. N., Nogin V. D., “Uchet vzaimno zavisimoi informatsii ob otnositelnoi vazhnosti kriteriev v protsesse prinyatiya reshenii”, Zh. vychisl. matem. i matem. fiz., 46:12 (2006), 2178–2190 | MR
[55] Yu P. L., “Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives”, J. Optimizat. Theory and Appl., 14:3 (1974), 319–377 | DOI | MR | Zbl
[56] Ope O., Teoriya grafov, Nauka, M., 1968 | MR