Stability and accuracy functions for a multicriteria Boolean linear programming problem with parameterized principle of optimality “from Condorcet to Pareto”
A multicriteria Boolean programming problem with linear cost functions in which initial coefficients of the cost functions are subject to perturbations is considered. For any optimal alternative, with respect to parameterized principle of optimality “from Condorcet to Pareto”, appropriate measures o...
Gespeichert in:
| Veröffentlicht in: | European journal of operational research Jg. 207; H. 3; S. 1497 - 1505 |
|---|---|
| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Amsterdam
Elsevier B.V
16.12.2010
Elsevier Elsevier Sequoia S.A |
| Schriftenreihe: | European Journal of Operational Research |
| Schlagworte: | |
| ISSN: | 0377-2217, 1872-6860 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | A multicriteria Boolean programming problem with linear cost functions in which initial coefficients of the cost functions are subject to perturbations is considered. For any optimal alternative, with respect to parameterized principle of optimality “from Condorcet to Pareto”, appropriate measures of the quality are introduced. These measures correspond to the so-called stability and accuracy functions defined earlier for optimal solutions of a generic multicriteria combinatorial optimization problem with Pareto and lexicographic optimality principles. Various properties of such functions are studied and maximum norms of perturbations for which an optimal alternative preserves its optimality are calculated. To illustrate the way how the stability and accuracy functions can be used as efficient tools for post-optimal analysis, an application from the voting theory is considered. |
|---|---|
| AbstractList | A multicriteria Boolean programming problem with linear cost functions in which initial coefficients of the cost functions are subject to perturbations is considered. For any optimal alternative, with respect to parameterized principle of optimality "from Condorcet to Pareto", appropriate measures of the quality are introduced. These measures correspond to the so-called stability and accuracy functions defined earlier for optimal solutions of a generic multicriteria combinatorial optimization problem with Pareto and lexicographic optimality principles. Various properties of such functions are studied and maximum norms of perturbations for which an optimal alternative preserves its optimality are calculated. To illustrate the way how the stability and accuracy functions can be used as efficient tools for post-optimal analysis, an application from the voting theory is considered. A multicriteria Boolean programming problem with linear cost functions in which initial coefficients of the cost functions are subject to perturbations is considered. For any optimal alternative, with respect to parameterized principle of optimality "from Condorcet to Pareto", appropriate measures of the quality are introduced. These measures correspond to the so-called stability and accuracy functions defined earlier for optimal solutions of a generic multicriteria combinatorial optimization problem with Pareto and lexicographic optimality principles. Various properties of such functions are studied and maximum norms of perturbations for which an optimal alternative preserves its optimality are calculated. To illustrate the way how the stability and accuracy functions can be used as efficient tools for post-optimal analysis, an application from the voting theory is considered. [PUBLICATION ABSTRACT] |
| Author | Nikulin, Yury Mäkelä, Marko M. |
| Author_xml | – sequence: 1 givenname: Yury surname: Nikulin fullname: Nikulin, Yury email: yury.nikulin@utu.fi – sequence: 2 givenname: Marko M. surname: Mäkelä fullname: Mäkelä, Marko M. email: makela@utu.fi |
| BackLink | http://www.econis.eu/PPNSET?PPN=640298001$$DView this record in ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23376699$$DView record in Pascal Francis http://econpapers.repec.org/article/eeeejores/v_3a207_3ay_3a2010_3ai_3a3_3ap_3a1497-1505.htm$$DView record in RePEc |
| BookMark | eNp9kstu1DAUhiNUJKYDL8AGCwmxmsGXxE4kNnTETSoCCVhbjnPSepTYg-0UDas-CCx4tT4JZy4g1EUjndiyv_-c3z4-LU588FAUjxldMsrki_US1iEuOcUFKpe05PeKGasVX8ha0pNiRoVSC86ZelCcprSmlLKKVbPi9-dsWje4vCXGd8RYO0Vjt6SfvM0u-ET6EIkh4zRkZ6PLEJ0hZyEMYDwZnAcTySaGi2jG0fmL3bwdYCTfXb4kG4PLsNP8gA63nLduMwAJPQmb7EazL3xz_bOPYSSr4LsQLWSSA_lkIuRwc_3rYXG_N0OCR8dxXnx98_rL6t3i_OPb96tX5wtbsTIvOsqsqiiIpuptzVTbCtFXVIJgJWsF75mtZSNYSxnUHe2F4pyLriwBESmYmBfPD3nxBN8mSFmPLlkYBuMhTEnXZVPWpUTRvHh6i1yHKXo0p1WlpFSSlQh9OEARNmA1nn00casBP-wUJH2lheFU4X-7nzGKg8MQGBsMVjZKs4pW-jKPmO_ZsahJ1gx9NHiX6V9eLgRWbhrknhw4sMH_B8iS8qbGtiNRHwgbQ0oRem1dNrtm52jcoNHI7k3ptd451XtnVGp8Uyjlt6R_098penl0hN27chB1sg68hc5FsFl3wd0l_wMc-un7 |
| CODEN | EJORDT |
| CitedBy_id | crossref_primary_10_1016_j_omega_2019_01_007 crossref_primary_10_1016_j_ejor_2012_03_007 crossref_primary_10_1016_j_ejor_2012_09_018 crossref_primary_10_1186_s13638_019_1590_2 |
| Cites_doi | 10.1016/S0167-6377(98)00031-5 10.1023/B:CASA.0000003509.09942.10 10.1007/s10479-006-0071-2 10.1080/0233193021000030760 10.1023/A:1018991826728 10.1007/s10479-008-0471-6 |
| ContentType | Journal Article |
| Copyright | 2010 Elsevier B.V. 2015 INIST-CNRS Copyright Elsevier Sequoia S.A. Dec 16, 2010 |
| Copyright_xml | – notice: 2010 Elsevier B.V. – notice: 2015 INIST-CNRS – notice: Copyright Elsevier Sequoia S.A. Dec 16, 2010 |
| DBID | AAYXX CITATION OQ6 IQODW DKI X2L 7SC 7TB 8FD FR3 JQ2 L7M L~C L~D 7TA JG9 |
| DOI | 10.1016/j.ejor.2010.06.042 |
| DatabaseName | CrossRef ECONIS Pascal-Francis RePEc IDEAS RePEc Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Materials Business File Materials Research Database |
| DatabaseTitle | CrossRef Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional Materials Research Database Materials Business File |
| DatabaseTitleList | Materials Research Database Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Computer Science Business Applied Sciences |
| EISSN | 1872-6860 |
| EndPage | 1505 |
| ExternalDocumentID | 2161435921 eeeejores_v_3a207_3ay_3a2010_3ai_3a3_3ap_3a1497_1505_htm 23376699 640298001 10_1016_j_ejor_2010_06_042 S0377221710004819 |
| Genre | Feature |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 4.4 457 4G. 5GY 5VS 6OB 7-5 71M 8P~ 9JN 9JO AAAKF AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AAOAW AAQFI AARIN AAXUO AAYFN ABAOU ABBOA ABFNM ABFRF ABJNI ABMAC ABUCO ABXDB ABYKQ ACAZW ACDAQ ACGFO ACGFS ACIWK ACNCT ACNNM ACRLP ACZNC ADBBV ADEZE ADGUI ADMUD AEBSH AEFWE AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHZHX AIALX AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD APLSM ARUGR AXJTR BKOJK BKOMP BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FIRID FNPLU FYGXN G-Q GBOLZ HAMUX HZ~ IHE J1W KOM LY1 M41 MHUIS MO0 MS~ N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. PQQKQ Q38 RIG ROL RPZ RXW SCC SDF SDG SDP SDS SES SPC SPCBC SSB SSD SSV SSW SSZ T5K TAE TN5 U5U XPP ZMT ~02 ~G- 1OL 29G 41~ 9DU AAAKG AALRI AAQXK AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADIYS ADJOM ADNMO ADXHL AEIPS AEUPX AFFNX AFJKZ AFPUW AGQPQ AI. AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN CITATION EFKBS FEDTE FGOYB GBLVA HVGLF R2- SEW VH1 WUQ ~HD AAYOK OQ6 AFXIZ AGCQF AGRNS BNPGV IQODW SSH 02 08R 0R 1 41 6XO 8P AAPBV ABFLS ADALY DKI G- HZ IPNFZ K M MS PQEST STF X X2L 7SC 7TB 8FD FR3 JQ2 L7M L~C L~D 7TA JG9 |
| ID | FETCH-LOGICAL-c514t-d01c750e395fc817bb33f506e3141b32f1c86931b01e8d0f372223d44e6e36313 |
| ISICitedReferencesCount | 5 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000283835900033&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0377-2217 |
| IngestDate | Tue Sep 30 22:05:05 EDT 2025 Sun Nov 09 08:56:49 EST 2025 Wed Aug 18 03:50:56 EDT 2021 Mon Jul 21 09:11:43 EDT 2025 Sat Mar 08 16:21:37 EST 2025 Tue Nov 18 21:49:25 EST 2025 Sat Nov 29 01:41:00 EST 2025 Fri Feb 23 02:32:29 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Keywords | Pareto optimality Condorcet optimality Multicriteria optimization Stability and accuracy Condorcet effect Boolean programming Pareto optimum Multicriteria analysis Multiobjective programming Linear programming Initial cost Combinatorial optimization Social decision Lexicography Voting Quality control Cost function Optimality principle |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c514t-d01c750e395fc817bb33f506e3141b32f1c86931b01e8d0f372223d44e6e36313 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 |
| PQID | 757667614 |
| PQPubID | 45678 |
| PageCount | 9 |
| ParticipantIDs | proquest_miscellaneous_849484622 proquest_journals_757667614 repec_primary_eeeejores_v_3a207_3ay_3a2010_3ai_3a3_3ap_3a1497_1505_htm pascalfrancis_primary_23376699 econis_primary_640298001 crossref_citationtrail_10_1016_j_ejor_2010_06_042 crossref_primary_10_1016_j_ejor_2010_06_042 elsevier_sciencedirect_doi_10_1016_j_ejor_2010_06_042 |
| PublicationCentury | 2000 |
| PublicationDate | 2010-12-16 |
| PublicationDateYYYYMMDD | 2010-12-16 |
| PublicationDate_xml | – month: 12 year: 2010 text: 2010-12-16 day: 16 |
| PublicationDecade | 2010 |
| PublicationPlace | Amsterdam |
| PublicationPlace_xml | – name: Amsterdam |
| PublicationSeriesTitle | European Journal of Operational Research |
| PublicationTitle | European journal of operational research |
| PublicationYear | 2010 |
| Publisher | Elsevier B.V Elsevier Elsevier Sequoia S.A |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier – name: Elsevier Sequoia S.A |
| References | Chakravarti, Wagelmans (bib3) 1998; 23 Greenberg (bib7) 1998 Libura (bib10) 1999; 86 Pareto (bib14) 1909 Libura, Nikulin (bib12) 2006; 147 Hamming (bib9) 1980 Arrow (bib1) 1963 M. de Condorcet, Essai sur l’application de l’analyse la probabilit des décisions rendues la pluralité des voix (Essay on the Application of Analysis to the Probability of Majority Decisions), Paris, 1785. Nikulin (bib13) 2009; 172 Bukhtoyarov, Emelichev, Stepanishina (bib2) 2006; 39 Ehrgott (bib5) 2000 Emelichev, Girlich, Nikulin, Podkopaev (bib6) 2002; 51 Libura (bib11) 2000; 29 Hadamard (bib8) 1903 Hamming (10.1016/j.ejor.2010.06.042_bib9) 1980 Libura (10.1016/j.ejor.2010.06.042_bib10) 1999; 86 Arrow (10.1016/j.ejor.2010.06.042_bib1) 1963 Libura (10.1016/j.ejor.2010.06.042_bib12) 2006; 147 10.1016/j.ejor.2010.06.042_bib4 Bukhtoyarov (10.1016/j.ejor.2010.06.042_bib2) 2006; 39 Ehrgott (10.1016/j.ejor.2010.06.042_bib5) 2000 Greenberg (10.1016/j.ejor.2010.06.042_bib7) 1998 Emelichev (10.1016/j.ejor.2010.06.042_bib6) 2002; 51 Pareto (10.1016/j.ejor.2010.06.042_bib14) 1909 Hadamard (10.1016/j.ejor.2010.06.042_bib8) 1903 Nikulin (10.1016/j.ejor.2010.06.042_bib13) 2009; 172 Libura (10.1016/j.ejor.2010.06.042_bib11) 2000; 29 Chakravarti (10.1016/j.ejor.2010.06.042_bib3) 1998; 23 |
| References_xml | – volume: 23 start-page: 1 year: 1998 end-page: 7 ident: bib3 article-title: Calculation of stability radius for combinatorial optimization problems publication-title: Operations Research Letters – year: 1963 ident: bib1 article-title: Social Choice and Individual Values – volume: 172 start-page: 25 year: 2009 end-page: 35 ident: bib13 article-title: Stability and accuracy functions in a coalition game with bans, linear payoffs and antagonistic strategies publication-title: Annals of Operations Research – year: 1909 ident: bib14 article-title: Manuel d’ecoonomie politique (Manual of political economy) – reference: M. de Condorcet, Essai sur l’application de l’analyse la probabilit des décisions rendues la pluralité des voix (Essay on the Application of Analysis to the Probability of Majority Decisions), Paris, 1785. – year: 1980 ident: bib9 article-title: Coding and Information Theory – volume: 51 start-page: 645 year: 2002 end-page: 676 ident: bib6 article-title: Stability and regularization of vector problems of integer linear programming publication-title: Optimization – start-page: 97 year: 1998 end-page: 148 ident: bib7 article-title: An annotated bibliography for post-solution analysis in mixed integer and combinatorial optimization publication-title: Advances in Computational and Stochastic Optimization – volume: 39 start-page: 604 year: 2006 end-page: 614 ident: bib2 article-title: Stability of discrete vector problems with the parametric principle of optimality publication-title: Cybernetics and Systems Analysis – volume: 29 start-page: 199 year: 2000 end-page: 219 ident: bib11 article-title: Quality of solutions for perturbed combinatorial optimization problems publication-title: Control and Cybernetics – year: 2000 ident: bib5 article-title: Multicriteria Optimization – year: 1903 ident: bib8 article-title: Lecons sur la propagation des ondes et les equations de l’hydrodynamique (Lectures on the propagation of waves and the equations of hydrodynamic) – volume: 86 start-page: 53 year: 1999 end-page: 62 ident: bib10 article-title: On accuracy of solution for combinatorial optimization problems with perturbed coefficients of the objective function publication-title: Annals of Operations Research – volume: 147 start-page: 255 year: 2006 end-page: 267 ident: bib12 article-title: Stability and accuracy functions in multicriteria linear combinatorial optimization problems publication-title: Annals of Operations Research – volume: 23 start-page: 1 year: 1998 ident: 10.1016/j.ejor.2010.06.042_bib3 article-title: Calculation of stability radius for combinatorial optimization problems publication-title: Operations Research Letters doi: 10.1016/S0167-6377(98)00031-5 – year: 1980 ident: 10.1016/j.ejor.2010.06.042_bib9 – year: 2000 ident: 10.1016/j.ejor.2010.06.042_bib5 – year: 1909 ident: 10.1016/j.ejor.2010.06.042_bib14 – year: 1963 ident: 10.1016/j.ejor.2010.06.042_bib1 – year: 1903 ident: 10.1016/j.ejor.2010.06.042_bib8 – volume: 39 start-page: 604 year: 2006 ident: 10.1016/j.ejor.2010.06.042_bib2 article-title: Stability of discrete vector problems with the parametric principle of optimality publication-title: Cybernetics and Systems Analysis doi: 10.1023/B:CASA.0000003509.09942.10 – start-page: 97 year: 1998 ident: 10.1016/j.ejor.2010.06.042_bib7 article-title: An annotated bibliography for post-solution analysis in mixed integer and combinatorial optimization – volume: 147 start-page: 255 year: 2006 ident: 10.1016/j.ejor.2010.06.042_bib12 article-title: Stability and accuracy functions in multicriteria linear combinatorial optimization problems publication-title: Annals of Operations Research doi: 10.1007/s10479-006-0071-2 – volume: 51 start-page: 645 year: 2002 ident: 10.1016/j.ejor.2010.06.042_bib6 article-title: Stability and regularization of vector problems of integer linear programming publication-title: Optimization doi: 10.1080/0233193021000030760 – ident: 10.1016/j.ejor.2010.06.042_bib4 – volume: 86 start-page: 53 year: 1999 ident: 10.1016/j.ejor.2010.06.042_bib10 article-title: On accuracy of solution for combinatorial optimization problems with perturbed coefficients of the objective function publication-title: Annals of Operations Research doi: 10.1023/A:1018991826728 – volume: 172 start-page: 25 year: 2009 ident: 10.1016/j.ejor.2010.06.042_bib13 article-title: Stability and accuracy functions in a coalition game with bans, linear payoffs and antagonistic strategies publication-title: Annals of Operations Research doi: 10.1007/s10479-008-0471-6 – volume: 29 start-page: 199 year: 2000 ident: 10.1016/j.ejor.2010.06.042_bib11 article-title: Quality of solutions for perturbed combinatorial optimization problems publication-title: Control and Cybernetics |
| SSID | ssj0001515 |
| Score | 2.006588 |
| Snippet | A multicriteria Boolean programming problem with linear cost functions in which initial coefficients of the cost functions are subject to perturbations is... |
| SourceID | proquest repec pascalfrancis econis crossref elsevier |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 1497 |
| SubjectTerms | Accuracy Applied sciences Boolean Boolean algebra Combinatorial analysis Condorcet optimality Condorcet optimality Pareto optimality Stability and accuracy Multicriteria optimization Cost function Decision theory. Utility theory Exact sciences and technology Flows in networks. Combinatorial problems Linear programming Mathematical analysis Mathematical programming Multicriteria optimization Multiple criteria decision making Norms Operational research and scientific management Operational research. Management science Optimization Parameter optimization Pareto optimality Pareto optimum Perturbation methods Stability Stability and accuracy Studies |
| Title | Stability and accuracy functions for a multicriteria Boolean linear programming problem with parameterized principle of optimality “from Condorcet to Pareto” |
| URI | https://dx.doi.org/10.1016/j.ejor.2010.06.042 http://www.econis.eu/PPNSET?PPN=640298001 http://econpapers.repec.org/article/eeeejores/v_3a207_3ay_3a2010_3ai_3a3_3ap_3a1497-1505.htm https://www.proquest.com/docview/757667614 https://www.proquest.com/docview/849484622 |
| Volume | 207 |
| WOSCitedRecordID | wos000283835900033&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1872-6860 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001515 issn: 0377-2217 databaseCode: AIEXJ dateStart: 19950105 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1bb9MwFLbGNiEQ4jJAK4PJmhgvKFVsJ3HyOE2bAE1j0jpUnqxcHNGtbbq0nQb_hf_IT-Cc2MkSNE3wQKVEUZq6bs_n48_H50LI28jVIsl8kEDmZRiSkzlJlsdOkrAwyLw8CKu8BV-O5PFxOBxGJysrv-pYmKuxnE7D6-to9l9FDfdA2Bg6-w_ibhqFG3ANQocziB3OfyV4oI-Vw6tJrBSn6bLEku44gRmvt8pv0ngSgsrAXM0xhjyM0SaPpBOTXxuvrYkJVa9KzhiLLWYKn6AHzeiHxgQD1lKPlLMA5TMxrH6X8ypsZR9rhZSpXiDDPcF6usWuiQ--dTPAEmO4UdYmSpuL6MZmPbpY2hLzX5ctD-Zqv9-70GNzUUchFdbYa80axkXERF0aW1sdb3OqL5cF_A-n_b2WahRSOpybqM--Nqo7lNwBaLlt3c5NSV0LYtHS1LAylLdOIcaacd7X50VpXf-CvmtSgHXzdR9_VodnR0dqcDAcdN-t-AEHMg1kNOLs3ezSwTpn6A9gi77cI2tc-lG4Stb2Ph4MPzXsAQlmtfNlf6EN9DI-iX_2qUOm1tGCMpp3WNWjWTyHsZ6bIi2dVdRaqWc6bZGpwVPy2K6C6J5B7zOyoqcb5H4dhLFBntTFRqidezbIw1bmzOfkZ4NyCiinNcppg3IKKKcx7aCcWpRTg3LaQjm1KKeIctpBOW1QTouc3qCc7iDGaYNxuiiowfjOC3J2eDDY_-DYSiNOCguGhZO5LAXqrEWELo1MJokQue8GWjCPJYLnLA2DSLDEZTrM3FxIpNWZ52l4JBBMvCSr02KqNwlNfZnGzM9lEiZeHEdRtYwJfS_KeZK7QY-wWmQqtWn4sRrMWNX-lucKxaxQzAqdTj3eI--bz8xMEpo7n940SGieDTwstADY6hG_xoayDNswZwXov7PJ7Q6Qmpa5AIISRFGPbNXIUlZhzJX0JXrQM69HaPMuzF64JRlPdbGcqxCzU3kBh284rPDYtKzhBb3Qc3WlRAzjGM7fqyvolYhHcAg4ZnDgUFawsPXVt8Xk1Z092SIPbpTNa7K6KJf6DVlPrxajebltx-JvWYIsfA |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Stability+and+accuracy+functions+for+a+multicriteria+Boolean+linear+programming+problem+with+parameterized+principle+of+optimality+%22from+Condorcet+to+Pareto%22&rft.jtitle=European+journal+of+operational+research&rft.au=Nikulin%2C+Yury&rft.au=M%C3%A4kel%C3%A4%2C+Marko+M&rft.date=2010-12-16&rft.pub=Elsevier+Sequoia+S.A&rft.issn=0377-2217&rft.eissn=1872-6860&rft.volume=207&rft.issue=3&rft.spage=1497&rft_id=info:doi/10.1016%2Fj.ejor.2010.06.042&rft.externalDBID=NO_FULL_TEXT&rft.externalDocID=2161435921 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0377-2217&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0377-2217&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0377-2217&client=summon |