R UBIS: A bipolar-valued outranking method for the choice problem

4OR

Volumn 6, Issue 2, 2008, Pages 143-165

  Bisdorff, Raymond ^a   Meyer, Patrick ^a   Roubens, Marc ^b  

^a UNIVERSITY OF LUXEMBOURG   (Luxembourg)

^b FACULTÉ POLYTECHNIQUE DE MONS   (Belgium)

Author keywords

Choice problematique; Digraph kernel; Multiple criteria outranking method; Progressive decision aiding methodology

Indexed keywords

EID: 43949123285     PISSN: 16194500     EISSN: 16142411     Source Type: Journal    
DOI: 10.1007/s10288-007-0045-5     Document Type: Article

References (20)

1. V Belton T Stewart 2002 Multiple criteria decision analysis: an integrated approach Kluwer Dordrecht Belton V, Stewart T (2002) Multiple criteria decision analysis: an integrated approach. Kluwer, Dordrecht
2. C Berge 1970 Graphes et hypergraphes Dunod Paris Berge C (1970) Graphes et hypergraphes. Dunod, Paris
3. Bisdorff R (1997) On computing kernels from l-valued simple graphs. In: Proceedings of the 5th European Congress on intelligent techniques and soft computing, vol 1, pp 97–103. EUFIT’97, Aachen
4. R Bisdorff 2000 Logical foundation of fuzzy preferential systems with application to the electre decision aid methods Comput Oper Res 27 673 687 10.1016/S0305-0548(99)00112-4 Bisdorff R (2000) Logical foundation of fuzzy preferential systems with application to the electre decision aid methods. Comput Oper Res 27:673–687
5. R Bisdorff 2002 Logical foundation of multicriteria preference aggregation D Bouyssou E Jacquet-Lagrèze P Perny R Slowinski D Vanderpooten PH Vincke Aiding decisions with multiple criteria: essays in honour of Bernard Roy Kluwer Dordrecht 379 403 Bisdorff R (2002) Logical foundation of multicriteria preference aggregation. In: Bouyssou D, Jacquet-Lagrèze E, Perny P, Slowinski R, Vanderpooten D, Vincke PH (eds) Aiding decisions with multiple criteria: essays in honour of Bernard Roy. Kluwer, Dordrecht, pp 379–403
6. Bisdorff R (2004) Concordant outranking with multiple criteria of ordinal significance. 4OR, Quarterly Journal of the Belgian, French and Italian Operations Research Societies, vol 2(4). Springer, Heidelberg, pp 293–308
7. R Bisdorff 2006 The Python digraph implementation for RuBy: user manual University of Luxembourg Luxembourg http://sma.uni.lu/bisdorff/Digraph Bisdorff R (2006a) The Python digraph implementation for RuBy: user manual. University of Luxembourg, Luxembourg, http://sma.uni.lu/bisdorff/Digraph
8. Bisdorff R (2006b) On enumerating the kernels in a bipolar-valued outranking digraph. In: Bouyssou D, Roberts F, Tsoukiás A (eds) Proceedings of the DIMACS-LAMSADE workshop on voting theory and preference modelling, Paris, 25–28 October 2006, vol 6 of Annales du LAMSADE, pp 1–38. Université Paris-Dauphine, CNRS, Paris
9. R Bisdorff M Roubens 1998 On defining and computing fuzzy kernels from l-valued simple graphs D Ruan P D’hondt P Govaerts E Kerre Intelligent systems and soft computing for nuclear science and industry, FLINS’96 workshop World Scientific Publishers Singapoure 113 123 Bisdorff R, Roubens M (1998) On defining and computing fuzzy kernels from l-valued simple graphs. In: Ruan D, D’hondt P, Govaerts P, Kerre E (eds) Intelligent systems and soft computing for nuclear science and industry, FLINS’96 workshop. World Scientific Publishers, Singapoure, pp 113–123
10. R Bisdorff M Roubens 2003 Choice procedures in pairwise comparison multiple-attribute decision making methods R Berghammer B Möller G Struth Relational and Kleene-algebraic methods in computer science: 7th international seminar on relational methods in computer science and 2nd international workshop on applications of Kleene algebra, vol 3051 of lecture notes in computer science Springer Heidelberg 1 7 Bisdorff R, Roubens M (2003) Choice procedures in pairwise comparison multiple-attribute decision making methods. In: Berghammer R, Möller B, Struth G (eds) Relational and Kleene-algebraic methods in computer science: 7th international seminar on relational methods in computer science and 2nd international workshop on applications of Kleene algebra, vol 3051 of lecture notes in computer science. Springer, Heidelberg, pp 1–7
11. R Bisdorff M Pirlot M Roubens 2006 Choices and kernels in bipolar valued digraphs Eur J Oper Res 175 155 170 10.1016/j.ejor.2005.05.004 Bisdorff R, Pirlot M, Roubens M (2006) Choices and kernels in bipolar valued digraphs. Eur J Oper Res 175:155–170
12. D Bouyssou 1996 Outranking relations: do they have special properties J Multi Criteria Decision Anal 5 99 111 10.1002/(SICI)1099-1360(199606)5:2<99::AID-MCDA97>3.0.CO;2-8 Bouyssou D (1996) Outranking relations: do they have special properties? J Multi Criteria Decision Anal 5:99–111
13. Chvátal V (1973) On the computational complexity of finding a kernel. Technical report, Report No. CRM-300, Centre de recherches mathématiques, Université de Montréal, Montréal
14. L Kitainik 1993 Fuzzy decision procedures with binary relations: towards a unified theory Kluwer Boston Kitainik L (1993) Fuzzy decision procedures with binary relations: towards a unified theory. Kluwer, Boston
15. M Richardson 1953 Solution of irreflectice relations Ann Math 58 573 580 10.2307/1969755 Richardson M (1953) Solution of irreflectice relations. Ann Math 58:573–580
16. B Roy 1968 Classement et choix en présence de points de vue multiples (la méthode ELECTRE) Rev Fr Inf Rech Oper 2 57 75 Roy B (1968) Classement et choix en présence de points de vue multiples (la méthode ELECTRE). Rev Fr Inf Rech Oper 2:57–75
17. B Roy 1985 Méthodologie multicritère d’aide à la décision Economica Paris Roy B (1985) Méthodologie multicritère d’aide à la décision. Economica, Paris
18. B Roy D Bouyssou 1993 Aide multicritère à la décision: Méthodes et cas Economica Paris Roy B, Bouyssou D (1993) Aide multicritère à la décision: Méthodes et cas. Economica, Paris
19. B Roy D Vanderpooten 1996 The European school of MCDA: emergence, basic features and current works J Multi Criteria Decis Anal 5 22 38 10.1002/(SICI)1099-1360(199603)5:1<22::AID-MCDA93>3.0.CO;2-F Roy B, Vanderpooten D (1996) The European school of MCDA: emergence, basic features and current works. J Multi Criteria Decis Anal 5:22–38
20. Windelband W (1884) Beiträge zur Lehre vom negativen Urteil. In: Straßburger Abhandlungen zur Philosophie: Eduard Zeller zu seinem 70. Geburtstage, pp 165–195. Strasbourg