A method for stochastic multiple criteria decision making based on pairwise comparisons of alternatives with random evaluations

European Journal of Operational Research

Volumn 207, Issue 2, 2010, Pages 906-915

  Fan, Zhi Ping ^a   Liu, Yang ^a   Feng, Bo ^b  

^a NORTHEASTERN UNIVERSITY   (China)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Multiple criteria decision making; Probability; Random variable; Ranking

Indexed keywords

IDENTIFICATION RULES; MULTIPLE CRITERIA DECISION MAKING; MULTIPLE CRITERIA DECISION-MAKING PROBLEMS; NUMERICAL EXAMPLE; PAIR-WISE COMPARISON; PROBABILITY MASS FUNCTION; PROBABILITY THEORY;

DECISION MAKING; RANDOM VARIABLES; STOCHASTIC SYSTEMS;

PROBABILITY DENSITY FUNCTION;

EID: 77955558709     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2010.05.032     Document Type: Article

References (31)

1. R. Banuelas, and J. Antony Application of stochastic analytic hierarchy process within a domestic appliance manufacturer Journal of the Operational Research Society 58 2007 29 38
2. I. Basak Probabilistic judgments specified partially in the analytic hierarchy process European Journal of Operational Research 108 1998 153 164
3. G. D'Avignon, and P. Vincke An outranking method under uncertainty European Journal of Operational Research 36 1988 311 321
4. B.A. Dendrou, S.A. Dendrou, and E.N. Houstis Multiobjective decision analysis for engineering systems Computers and Operations Research 7 1980 301 312
5. I. Durbach A simulation-based test of stochastic multicriteria acceptability analysis using achievement functions European Journal of Operational Research 170 2006 923 934
6. I. Durbach On the estimation of a satisficing model of choice using stochastic multicriteria acceptability analysis Omega 37 2009 497 509
7. I. Durbach The use of the SMAA acceptability index in descriptive decision analysis European Journal of Operational Research 196 2009 1229 1237
8. W. Feller An Introduction to Probability Theory and its applications 1971 Wiley New York
9. J. Figueira, V. Mousseau, and B. Roy ELECTRE methods J. Figueira, S. Greco, M. Ehrgott, Multiple Criteria Decision Analysis: State of the Art Surveys 2005 Springer (Chapter 4)
10. C.L. Hwang, and K. Yoon Multiple Attribute Decision Making: Methods and Applications 1981 Springer-Verlag New York
11. R. Keeney, and H. Raiffa Decisions with Multiple Objectives: Preferences and Value Tradeoffs 1976 John Wiley & Sons New York
12. R. Lahdelma, J. Hokkanen, and P. Salminen SMAA - stochastic multiobjective acceptability analysis European Journal of Operational Research 106 1998 137 143
13. R. Lahdelma, and P. Salminen SMAA-2: Stochastic multicriteria acceptability analysis for group decision making Operations Research 49 2001 444 454
14. R. Lahdelma, P. Salminen, and J. Hokkanen Locating a waste treatment facility by using stochastic multicriteria acceptability analysis with ordinal criteria European Journal of Operational Research 142 2002 345 356
15. R. Lahdelma, K. Miettinen, and P. Salminen Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA) European Journal of Operational Research 147 2003 117 127
16. R. Lahdelma, and P. Salminen Stochastic multicriteria acceptability analysis using the data envelopment model European Journal of Operational Research 170 2006 241 252
17. R. Levary, and K. Wan A simulation approach for handling uncertainty in the analytic hierarchy process European Journal of Operational Research 106 1998 116 122
18. H. Levy Stochastic dominance and expected utility: Survey and analysis Management Science 38 1992 555 593
19. J. Martel, and G. D'Avignon Projects ordering with multicriteria analysis European Journal of Operational Research 10 1982 56 69
20. J. Martel, G. D'Avignon, and G. Couillard A fuzzy outranking relation in multicriteria decision making European Journal of Operational Research 25 1986 258 271
21. M. Nowak Preference and veto thresholds in multicriteria analysis based on stochastic dominance European Journal of Operational Research 158 2004 339 350
22. M. Nowak INSDECM - an interactive procedure for stochastic multicriteria decision problems European Journal of Operational Research 175 2006 1413 1430
23. M. Nowak Aspiration level approach in stochastic MCDM problems European Journal of Operational Research 177 2007 1626 1640
24. T.L. Saaty The Analytical Hierarchy Process 1980 McGraw-Hill Toronto
25. 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)
26. T. Tervonen, and R. Lahdelma Implementing stochastic multicriteria acceptability analysis European Journal of Operational Research 178 2007 500 513
27. T. Tervonen, H. Hakonen, and R. Lahdelma Elevator planning with stochastic multicriteria acceptability analysis Omega 36 2008 352 362
28. Y.M. Wang, J.B. Yang, and D.L. Xu A two-stage logarithmic goal programming method for generating weights from interval comparison matrices Fuzzy Sets and Systems 152 2005 475 498
29. K. Zaras, and J.M. 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
30. 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
31. 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