Evidential reasoning based preference programming for multiple attribute decision analysis under uncertainty

European Journal of Operational Research

Volumn 182, Issue 3, 2007, Pages 1294-1312

  Guo, Min ^a,b   Yang, Jian Bo ^a,c   Chin, Kwai Sang ^b   Wang, Hongwei ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Interval evaluation; Multiple attribute decision analysis; Non linear optimization; The evidential reasoning approach; Uncertainty modelling

Indexed keywords

COMPUTER SIMULATION; DECISION THEORY; FORMAL LOGIC; OPTIMIZATION; UNCERTAIN SYSTEMS;

EVIDENTIAL REASONING APPROACH; INTERVAL EVALUATION; MULTIPLE ATTRIBUTE DECISION ANALYSIS; NON-LINEAR OPTIMIZATION; UNCERTAINTY MODELLING;

COMPUTER PROGRAMMING;

EID: 34248148544     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2006.09.064     Document Type: Article

References (51)

1. Arbel A. Approximate articulation of preference and priority derivation. European Journal of Operational Research 43 (1989) 317-326
2. Arbel A. A linear programming approach for processing approximate articulation of preference. In: Korhonen P., Lewandowski A., and Wallenius J. (Eds). Multiple Criteria Decision Support. Lecture Notes in Economics and Mathematical Systems 356 (1991), Springer-Verlag, Berlin 79-86
3. Arbel A., and Vargas L.G. The analytic hierarchy process with interval judgments. In: Goicoechea A., Duckstein L., and Zoints S. (Eds). Multiple Criteria Decision Making. Proceedings of the Ninth International Conference held in Fairfax, Virginia, 1990 (1992), Springer, New York 61-70
4. Arbel A., and Vargas L.G. Preference simulation and preference programming: Robustness issues in priority deviation. European Journal of Operational Research 69 (1993) 200-209
5. Barzilai J. Deriving weights from pairwise comparison matrices. Journal of Operational Research Society 48 (1997) 1226-1232
6. Barzilai J., Cook W.D., and Golany B. Consistent weights for judgments matrices of the relative importance of alternatives. Operations Research 6 3 (1987) 131-134
7. Chandran B., Golden B., and Wasil E. Linear programming models for estimating weights in the analytic hierarchy process. Computers and Operations Research 32 9 (2005) 2235-2254
8. Crawford G.B. The geometric mean procedure for estimating the scale of a judgment matrix. Mathematical Modelling 9 3-5 (1987) 327-334
9. Crawford G., and Williams C.A. A note on the analysis of subjective judgment matrices. Journal of Mathematical Psychology 29 (1985) 387-405
10. Dempster A.P. Upper and lower probabilities induced by a multi-valued mapping. Annals of Mathematical Statistics 38 (1967) 325-339
11. Haines L.M. A statistical approach to the analytic hierarchy process with interval judgments (I): Distributions on feasible regions. European Journal of Operational Research 110 (1998) 112-125
12. Islam R., Biswal M.P., and Alam S.S. Preference programming and inconsistent interval judgments. European Journal of Operational Research 97 (1997) 53-62
13. Miller R.E. Optimization: Foundations and Applications (2000), A Wiley-Interscience Publication
14. Murphy C.K. Combining belief functions when evidence conflicts. Decision Support Systems 29 (2000) 1-9
15. Okundi, I., 2001. An e-business risk assessment model for Siemens UK. M.Sc. dissertation, Manchester School of Management, UMIST, UK.
16. Saaty T.L. A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology 15 (1977) 234-281
17. Saaty T.L. The Analytic Hierarchy Process (1980), McGraw-Hill, New York
18. Saaty T.L. Multicriteria Decision Making: The Analytic Hierarchy Process (1988), RWS Publications, Pittsburgh, PA
19. Saaty T.L. Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process (1994), RWS Publications, Pittsburgh, PA
20. Saaty T.L., and Vargas L.G. Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios. Mathematical Modelling 5 (1984) 309-324
21. Saaty T.L., and Vargas L.G. Inconsistency and rank preservation. Journal of Mathematical Psychology 28 (1984) 205-214
22. Saaty T.L., and Vargas L.G. Uncertainty and rank order in the analytic hierarchy process. European Journal of Operational Research 32 (1987) 107-117
23. Salo A. Inconsistency analysis by approximately specified priorities. Mathematical and Computer Modelling 17 (1993) 123-133
24. Salo A., and Hämäläinen R.P. Processing interval judgments in the analytic hierarchy process. In: Goicoechea A., Duckstein L., and Zoints S. (Eds). Multiple Criteria Decision Making. Proceedings of the Ninth International Conference held in Fairfax, Virginia, 1990 (1992), Springer, New York 359-372
25. Salo A., and Hämäläinen R.P. Preference assessment by imprecise ratio statements. Operations Research 40 (1992) 1053-1061
26. Salo A., and Hämäläinen R.P. Preference programming through approximate ratio comparisons. European Journal of Operational Research 82 (1995) 458-475
27. Sen P., and Yang J.B. Multiple criteria decision making in design selection and synthesis. Journal of Engineering Design 6 3 (1995) 207-230
28. Shafer G. A Mathematical Theory of Evidence (1976), Princeton University Press, Princeton
29. Siow C.H.R., Yang J.B., and Dale B.G. A new modelling framework for organisational self-assessment: Development and application. Quality Management Journal 8 4 (2001) 34-47
30. Sonmez M., Yang J.B., and Holt G.D. Addressing the contractor selection problem using an evidential reasoning approach. Engineering, Construction and Architectural Management 8 3 (2001) 198-210
31. Teng, J., 2002. Development of a supplier pre-qualification model for Siemens UK. M.Sc. dissertation, Manchester School of Management, UMIST, UK.
32. Wang J. A subjective methodology for safety analysis of safety requirements specifications. IEEE Transactions on Fuzzy Systems 5 (1997) 1-13
33. Wang, Y.M., Elhag, T.M.S., in press. A comparison of neural network, evidential reasoning and multiple regression analysis in modelling bridge risks. Expert Systems with Applications.
34. Wang J., and Yang J.B. A subjective safety based decision making approach for evaluation of safety requirements specifications in software development. International Journal of Reliability, Quality and Safety Engineering 8 1 (2001) 35-57
35. Wang J., Yang J.B., and Sen P. Safety analysis and synthesis using fuzzy sets and evidential reasoning. Reliability Engineering and System Safety 47 2 (1995) 103-118
36. Wang J., Yang J.B., and Sen P. Multi-person and multi-attribute design evaluations using evidential reasoning based on subjective safety and cost analysis. Reliability Engineering and System Safety 52 (1996) 113-127
37. Wang J., Sii H.S., Pillay A., Yang J.B., Kim S., and Saajedi A. Use of advances in technology in marine risk assessment. Risk Analysis 24 4 (2004) 1011-1033
38. Wang Y.M., Yang J.B., and Xu D.L. Environmental impact assessment using the evidential reasoning approach. European Journal of Operational Research 174 3 (2006) 1885-1913
39. Wang Y.M., Yang J.B., and Xu D.L. The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees. European Journal of Operational Research 175 1 (2006) 35-66
40. Xu D.L., and Yang J.B. Intelligent decision system for self-assessment. Journal of Multi-Criteria Decision Analysis 12 (2003) 43-60
41. Xu D.L., Yang J.B., and Wang Y.M. The ER approach for multi-attribute decision analysis under interval uncertainties. European Journal of Operational Research 174 3 (2006) 1914-1943
42. Yang J.B. Rule and utility based evidential reasoning approach for multi-attribute decision analysis under uncertainties. European Journal of Operational Research 131 (2001) 31-61
43. Yang J.B., and Sen P. A general multi-level evaluation process for hybrid MADM with uncertainty. IEEE Transactions on Systems, Man, and Cybernetics 24 10 (1994) 1458-1473
44. Yang J.B., and Sen P. Multiple attribute design evaluation of large engineering products using the evidential reasoning approach. Journal of Engineering Design 8 3 (1997) 211-230
45. Yang J.B., and Singh M.G. An evidential reasoning approach for multiple attribute decision making with uncertainty. IEEE Transactions on Systems, Man, and Cybernetics 24 1 (1994) 1-18
46. Yang J.B., and Xu D.L. On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty. IEEE Transactions on Systems, Man, and Cybernetics-Part A 32 2 (2002) 289-304
47. Yang J.B., and Xu D.L. Nonlinear information aggregation via evidential reasoning in multiattribute decision analysis under uncertainty. IEEE Transactions on Systems, Man, and Cybernetics-Part A 32 3 (2002) 376
48. Yang, J.B., Xu, D.L., 2004. Intelligent decision system for supplier assessment. DSS2004: The 2004 IFIP Conference on Decision Support Systems, Prato, Tuscany, Italy, 1-3 July.
49. Yang J.B., and Xu D.L. An intelligent decision system based on evidential reasoning approach and its applications. Journal of Telecommunications and Information Technology 3 (2005) 73-80
50. Yang J.B., Dale B.G., and Siow C.H.R. Self-assessment of excellence: An application of the evidential reasoning approach. International Journal of Production Research 39 16 (2001) 3789-3812
51. Yang J.B., Wang Y.M., Xu D.L., and Chin K.S. The evidential reasoning approach for MCDA under both probabilistic and fuzzy uncertainties. European Journal of Operational Research 171 1 (2006) 309-343