A method for stochastic multiple criteria decision making based on dominance degrees

Information Sciences

Volumn 181, Issue 19, 2011, Pages 4139-4153

  Liu, Yang ^a   Fan, Zhi Ping ^a   Zhang, Yao ^a  

^a NORTHEASTERN UNIVERSITY   (China)

Author keywords

Dominance degree; Probability distribution; PROMETHEE II; Ranking; Stochastic multiple criteria decision making (SMCDM)

Indexed keywords

DOMINANCE DEGREE; MATRIX; MULTIPLE CRITERIA DECISION MAKING; NUMERICAL EXAMPLE; PAIR-WISE COMPARISON; PROMETHEE; RANKING; RANKING OF ALTERNATIVES;

DECISION MAKING; NUMERICAL METHODS; RANDOM VARIABLES; STOCHASTIC SYSTEMS;

PROBABILITY DISTRIBUTIONS;

EID: 79960190090     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2011.05.013     Document Type: Article

References (38)

1. G. D'Avignon, and P. Vincke An outranking method under uncertainty European Journal of Operational Research 36 1988 311 321
2. M. Behzadian, R.B. Kazemzadeh, A. Albadvi, and M. Aghdasi PROMETHEE: A comprehensive literature review on methodologies and applications European Journal of Operational Research 200 2010 198 215
3. D. Bertsekas, J. Tsitsiklis, Introduction to Probability, Athena Scientific, 2002.
4. I. Durbach A simulation-based test of stochastic multicriteria acceptability analysis using achievement functions European Journal of Operational Research 170 2006 923 934 (Pubitemid 41607645)
5. I. Durbach On the estimation of a satisficing model of choice using stochastic multicriteria acceptability analysis Omega 37 2009 497 509
6. I. Durbach The use of the SMAA acceptability index in descriptive decision analysis European Journal of Operational Research 196 2009 1229 1237
7. Z.P. Fan, Y. Liu, and B. Feng A method for stochastic multiple criteria decision making based on comparisons of alternatives with random evaluations European Journal of Operational Research 207 2010 906 915
8. W. Feller An Introduction to Probability Theory and Its applications 1971 Wiley New York
9. F. Fouss, Y. Achbany, and M. Saerens A probabilistic reputation model based on transaction ratings Information Sciences 180 2010 2095 2123
10. S.B. Graves, and J.L. Ringuest Probabilistic dominance criteria for comparing uncertain alternatives: A tutorial Omega 37 2009 346 357
11. I. Kaya, and C. Kahraman Development of fuzzy process accuracy index for decision making problems Information Sciences 180 2010 861 872
12. R. Keeney, and H. Raiffa Decisions with Multiple Objectives: Preferences and Value Tradeoffs 1976 John Wiley & Sons New York
13. W. Kotłowski, K. Dembczyński, S. Greco, and R. Słowiński Stochastic dominance-based rough set model for ordinal classification Information Sciences 178 2008 4019 4037
14. R. Lahdelma, J. Hokkanen, and P. Salminen SMAA-Stochastic multiobjective acceptability analysis European Journal of Operational Research 106 1998 137 143
15. R. Lahdelma, and P. Salminen SMAA-2: Stochastic multicriteria acceptability analysis for group decision making Operations Research 49 2001 444 454 (Pubitemid 32672514)
16. R. Lahdelma, and P. Salminen Pseudo-criteria versus linear utility function in stochastic multi-criteria acceptability analysis European Journal of Operational Research 141 2002 454 469 (Pubitemid 34623949)
17. R. Lahdelma, K. Miettinen, and P. Salminen Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA) European Journal of Operational Research 147 2003 117 127
18. R. Lahdelma, S. Makkonen, and P. Salminen Multivariate Gaussian criteria in SMAA European Journal of Operational Research 170 2006 957 970 (Pubitemid 41607648)
19. R. Lahdelma, and P. Salminen Stochastic multicriteria acceptability analysis using the data envelopment model European Journal of Operational Research 170 2006 241 252 (Pubitemid 41400632)
20. J. Martel, and G. D'Avignon Projects ordering with multicriteria analysis European Journal of Operational Research 10 1982 56 69
21. J. Martel, K. Zaras, Dominance stochastique en analyse multicritére face au risque, Cahier No. 100. Laboratoire d'Analyseet Modélisation de Systmes pour l'Aide la Décision. Université Paris-Dauphine, Paris, 1990.
22. J. Martel, S.H. Azondékon, and K. Zaras Preference relations in multicriterion analysis under risk Belgian Journal of Operations Research, Statistics and Computer Science 31 1992 55 83
23. M. Nowak Preference and veto thresholds in multicriteria analysis based on stochastic dominance European Journal of Operational Research 158 2004 339 350
24. M. Nowak INSDECM - an interactive procedure for stochastic multicriteria decision problems European Journal of Operational Research 175 2006 1413 1430 (Pubitemid 44436730)
25. M. Nowak Aspiration level approach in stochastic MCDM problems European Journal of Operational Research 177 2007 1626 1640 (Pubitemid 44709445)
26. T.L. Saaty The Analytical Hierarchy Process 1980 McGraw-Hill Toronto
27. T. Stewart Dealing with uncertainties in MCDA J. Figueira, S. Greco, M. Ehrgott, Multiple Criteria Decision Analysis: State of the Art Surveys 2005 Springer (Chapter 11)
28. T. Tervonen, and R. Lahdelma Implementing stochastic multicriteria acceptability analysis European Journal of Operational Research 178 2007 500 513 (Pubitemid 44750474)
29. T. Tervonen, H. Hakonen, and R. Lahdelma Elevator planning with stochastic multicriteria acceptability analysis Omega 36 2008 352 362
30. X. Wang, and C. Dong Improving generalization of fuzzy if-then rules by maximizing fuzzy entropy IEEE Transactions on Fuzzy Systems 17 2009 556 567
31. X. Wang, J. Zhai, and S. Lu Induction of multiple fuzzy decision trees based on rough set technique Information Sciences 178 2008 3188 3202
32. C. Wrather, and P.L. Yu Probability dominance in random outcomes Journal of Optimization Theory and Applications 36 1982 315 334
33. R.R. Yager, M. Detyniecki, and B. Bouchon-Meunier A context-dependent method for ordering fuzzy numbers using probabilities Information Sciences 138 2001 237 255 (Pubitemid 32698498)
34. K. Zaras, and J. Martel Multiattribute analysis based on stochastic dominance B. Munier, M.J. Machina, Models and Experiments in Risk and Rationality 1994 Kluwer Academic Publishers Dordrecht 225 248
35. K. Zaras Rough approximation of a preference relation by a multi-attribute stochastic dominance for determinist and stochastic evaluation problems European Journal of Operational Research 130 2001 305 314 (Pubitemid 32195792)
36. K. Zaras Rough approximation of a preference relation by a multi-attribute dominance for deterministic, stochastic and fuzzy decision problems European Journal of Operational Research 159 2004 196 206
37. M. Zawisza, G. Trzpiot, Multicriteria analysis based on stochastic and probability dominance in measuring quality of life, in: T. Trzaskalik, J. Michnik (Eds.), Multiple Objective and Goal Programming. Recent Developments, Physica-Verlag, Heidelberg, 2002, pp. 412-423.
38. Y. Zhang, Z.P. Fan, and Y. Liu A method based on stochastic dominance degrees for stochastic multiple criteria decision making Computers and Industrial Engineering 58 2010 544 552