Evidential reasoning approach for multiattribute decision analysis under both fuzzy and Interval uncertainty

IEEE Transactions on Fuzzy Systems

Volumn 17, Issue 3, 2009, Pages 683-697

  Guo, Min ^a   Yang, Jian Bo ^b,c   Chin, Kwai Sang ^d   Wang, Hong Wei ^a   Liu, Xin Bao ^c  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

^c HEFEI UNIVERSITY OF TECHNOLOGY   (China)

^d CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Aggregates; Algorithm design and analysis; Analytical models; Artificial neural networks; Business; Cognition; Customer satisfaction; Data models; Equations; Evidential reasoning (ER) approach; Facsimile; Fuzzy set theory; Fuzzy sets; Image processing; Intelligent control; Laboratories; Manufacturing; Marine vehicles; Mathematical model; Modeling; Multiple attribute decision analysis; Multiple attribute decision analysis (MADA); Numerical models; Periodic structures; Research and development management; Safety; Shape; Software safety; Synthetic aperture radar; The evidential reasoning approach; Uncertainty; Uncertainty modeling; Utility; Utility theory

Indexed keywords

ALGORITHM DESIGN AND ANALYSIS; ANALYTICAL MODELS; ARTIFICIAL NEURAL NETWORKS; BUSINESS; COGNITION; DATA MODELS; EQUATIONS; EVIDENTIAL REASONING (ER) APPROACH; MANUFACTURING; MARINE VEHICLES; MODELING; MULTIPLE ATTRIBUTE DECISION ANALYSIS; MULTIPLE ATTRIBUTE DECISION ANALYSIS (MADA); NUMERICAL MODELS; SAFETY; SHAPE; SOFTWARE SAFETY; THE EVIDENTIAL REASONING APPROACH; UNCERTAINTY; UNCERTAINTY MODELING; UTILITY; UTILITY THEORY;

BACKPROPAGATION; COMPUTER SIMULATION; COMPUTER SOFTWARE SELECTION AND EVALUATION; CUSTOMER SATISFACTION; DECISION MAKING; FACSIMILE; FUZZY NEURAL NETWORKS; FUZZY SETS; IMAGE CLASSIFICATION; IMAGE PROCESSING; IMAGING SYSTEMS; INDUSTRIAL RESEARCH; INTELLIGENT CONTROL; MANUFACTURING DATA PROCESSING; MARINE RADAR; MATHEMATICAL MODELS; MODEL STRUCTURES; NUMERICAL METHODS; PERIODIC STRUCTURES; PHOTOACOUSTIC EFFECT; RADAR; RADAR ANTENNAS; RESEARCH AND DEVELOPMENT MANAGEMENT; SYNTHETIC APERTURE RADAR; SYNTHETIC APERTURES; UNCERTAINTY ANALYSIS;

DECISION THEORY;

EID: 67149120771     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2008.928599     Document Type: Article

References (54)

1. T. L. Saaty, The Analytic Hierarchy Process. New York: McGraw-Hill, 1980.
2. R. L. Keeney and H. Raiffa, Decisions With Multiple Objectives-Preferences and Value Tradeoffs, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1993.
3. E. Jacquet-Lagreze and J. Siskos, "Assessing a set of additive utility functions for multicriteria decision making, the UTA method," Eur. J. Oper. Res., vol. 10, no. 2, pp. 151-164, 1982.
4. V. Belton and T. J. Stewart, Multiple Criteria Decision Analysis - An Integrated Approach. Boston, MA: Kluwer, 2002.
5. R. E. Moore, Method and Application of Interval Analysis. Philadelphia, PA: SIAM, 1979.
6. H. Ishibuchi and H. Tanaka, "Multiobjective programming in optimization of the interval objective function," Eur. J. Oper. Res., vol. 48, pp. 219-225, 1990.
7. S. Kundu, "Min-transitivity of fuzzy leftness relationship and its application to decision making," Fuzzy Sets Syst., vol. 86, pp. 357-367, 1997.
8. A. Arbel and L. G. Vargas, "The analytic hierarchy process with interval judgments," in Multiple Criteria Decision Making, A. Goicoechea, L. Duckstein, and S. Zoints, Eds., New York: Springer-Verlag, 1992, pp. 61-70.
9. A. Arbel and L. G. Vargas, "Preference simulation and preference programming: Robustness issues in priority deviation," Eur. J. Oper. Res., vol. 69, pp. 200-209, 1993.
10. A. Salo and R. P. Hämäläinen, "Processing interval judgments in the analytic hierarchy process," in Multiple Criteria Decision Making, A. Goicoechea, L. Duckstein, and S. Zoints, Eds., New York: Springer-Verlag, 1992, pp. 359-372.
11. A. Salo and R. P. Hämäläinen, "Preference programming through approximate ratio comparisons," Eur. J. Oper. Res., vol. 82, no. 3, pp. 458-475, 1995.
12. R. Islam, M. P. Biswal, and S. S. Alam, "Preference programming and inconsistent interval judgments," Eur. J. Oper. Res., vol. 97, pp. 53-62, 1997.
13. L. A. Zadeh, "The concepts of a linguistic variable and its application to approximate reasoning (I), (II), (III)," Inf. Sci., vol. 8, pp. 9, 43-80, 199-249, and 301-357, 1975.
14. L. A. Zadeh, "Fuzzy sets as a basis for a theory of possibility," Fuzzy Sets Syst., vol. 1, no. 1, pp. 3-28, 1978.
15. R. R. Yager, "Fuzzy decision making including unequal objectives," Fuzzy Sets Syst., vol. 1, pp. 87-95, 1978.
16. R. R. Yager, "Generalized probabilities of fuzzy events from fuzzy belief structures," Inf. Sci., vol. 28, pp. 45-62, 1982.
17. T. Denoeux, "Modelling vague belief using fuzzy-valued belief structures," Fuzzy Sets Syst., vol. 116, pp. 167-199, 2000.
18. C. Carlsson and R. Fuller, "Fuzzy multiple criteria decision making: Recent developments," Fuzzy Sets Syst., vol. 78, pp. 139-153, 1996.
19. P. J. M. Laarhoven and W. Pedrycz, "A fuzzy extension of Saaty's priority theory," Fuzzy Sets Syst., vol. 11, pp. 229-241, 1983.
20. R. E. Bellman and L. A. Zadeh, "Decision-making in a fuzzy environment," Manage. Sci., vol. 17, no. 4, pp. 141-164, 1970.
21. R. R. Yager, "Multiple objective decision-making using fuzzy sets," Int. J. Man-Machine Stud., vol. 9, pp. 375-382, 1977.
22. R. R. Yager, "A new methodology for ordinal multi-objective decisions based on fuzzy sets," Decis. Sci., vol. 12, pp. 589-600, 1981.
23. S. Baas and H. Kwakernaak, "Rating and raking of multiple-aspect alternatives using fuzzy sets," Automatica, vol. 13, pp. 47-58, 1977.
24. D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications. New York: Academic, 1980.
25. W. M. Dong and F. S. Wong, "Fuzzy weighted averages and implementation of the extension principle," Fuzzy Sets Syst., vol. 21, pp. 183-199, 1987.
26. T. Y. Tseng and C. M. Klein, "A new algorithm for fuzzy multicriteria decision making," Int. J. Approx. Reason., vol. 6, pp. 45-66, 1992.
27. R. R. Yager, "On ordered weighted averaging aggregation operators in multicriteria decision making," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 18, no. 1, pp. 183-190, Jan./Feb. 1988.
28. A. P. Dempster, "Upper and lower probabilities induced by a multi-valued mapping," Ann. Math. Stat., vol. 38, pp. 325-339, 1967.
29. G. A. Shafer, Mathematical Theory of Evidence. Princeton, NJ: Princeton Univ. Press, 1976.
30. J. Teng, "Development of a supplier pre-qualification model for Siemens UK," M.Sc. dissertation, Manchester School Manage., Univ. Manchester Inst. Sci. Technol. (UMIST), Manchester, U.K., 2002.
31. I. Okundi, "An e-business risk assessment model for Siemens UK," M.Sc. dissertation, Manchester School Manage., Univ. Manchester Inst. Sci. Technol. (UMIST), Manchester, U.K., 2001.
32. M. Sonmez, J. B. Yang, and G. D. Holt, "Addressing the contractor selection problem using an evidential reasoning approach," Eng., Constr. Archit. Manage., vol. 8, no. 3, pp. 198-210, 2001.
33. J. B. Yang and D. L. Xu, "Intelligent decision system for supplier assessment," presented at the DSS2004: The 2004 IFIP Conf. Decis. Support Syst., Prato, Italy.
34. C. H. R. Siow, J. B. Yang, and B. G. Dale, "A new modeling framework for organizational self-assessment: Development and application," Qual. Manage. J., vol. 8, no. 4, pp. 34-47, 2001.
35. J. B. Yang, M. Deng, and D. L. Xu, "Nonlinear regression to estimate both weights and utilities via evidential reasoning for MADM," presented at the 5th Int. Conf. Optim.: Techn. Appl., Hong Kong, Dec. 15-17, 2001.
36. D. L. Xu and J. B. Yang, "Intelligent decision system for self-assessment," J. Multi-Criteria Decis. Anal., vol. 12, pp. 43-60, 2003.
37. J. Wang, J. B. Yang, and P. Sen, "Safety analysis and synthesis using fuzzy sets and evidential reasoning," Reliab. Eng. Syst. Saf., vol. 47, no. 2, pp. 103-118, 1995.
38. J. Wang, J. B. Yang, and P. Sen, "Multi-person and multi-attribute design evaluations using evidential reasoning based on subjective safety and cost analysis," Reliab. Eng. Syst. Saf., vol. 52, pp. 113-127, 1996.
39. J. Wang, "A subjective methodology for safety analysis of safety requirements specifications," IEEE Trans. Fuzzy Syst., vol. 5, no. 3, pp. 1-13, Aug. 1997.
40. J. Wang and J. B. Yang, "A subjective safety based decision making approach for evaluation of safety requirements specifications in software development," Int. J. Reliab., Qual. Saf. Eng., vol. 8, no. 1, pp. 35-57, 2001.
41. P. Sen and J. B. Yang, "Multiple criteria decision making in design selection and synthesis," J. Eng. Design, vol. 6, no. 3, pp. 207-230, 1995.
42. J. B. Yang and P. Sen, "Multiple attribute design evaluation of large engineering products using the evidential reasoning approach," J. Eng. Design, vol. 8, no. 3, pp. 211-230, 1997.
43. J. B. Yang and P. Sen, "A general multi-level evaluation process for hybrid MADM with uncertainty," IEEE Trans. Syst., Man, Cybern., vol. 24, no. 10, pp. 1458-1473, Oct. 1994.
44. J. B. Yang and D. L. Xu, "An intelligent decision system based on evidential reasoning approach and its applications," presented at the 3rd Int. Conf. Decis. Support Telecommun. Inf. Soc., Warsaw, Poland, Sep. 3-6, 2003.
45. D. L. Xu, J. B. Yang, and Y. M. Wang, "The evidential reasoning approach for multi-attribute decision analysis under interval uncertainty," Eur. J. Oper. Res., vol. 174, no. 3, pp. 1914-1943, 2005.
46. J. B. Yang, Y. M. Wang, D. L. Xu, and K. S. Chin, "The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties," Eur. J. Oper. Res., vol. 171, pp. 309-343, 2006.
47. K. S. Chin, J. B. Yang, M. Guo, and J. P.K. Lam, "An evidential reasoning-interval based method for new product design assessment," IEEE Trans. Eng. Manage., vol. 56, no. 1, pp. 142-156, 2009.
48. M. Guo, J. B. Yang, K. S. Chin, and H. W. Wang, "Evidential reasoning based preference programming for multiple attribute decision analysis under uncertainty," Eur. J. Oper. Res., vol. 182, pp. 1294-1312, 2007.
49. J. B. Yang and M.G. Singh, "An evidential reasoning approach for multiple attribute decision making with uncertainty," IEEE Trans. Syst., Man, Cybern., vol. 24, no. 1, pp. 1-18, Jan. 1994.
50. J. B. Yang, "Rule and utility based evidential reasoning approach for multiple attribute decision analysis under uncertainty," Eur. J. Oper. Res., vol. 131, no. 1, pp. 31-61, 2001.
51. J. B. Yang and D. L. Xu, "On the evidential reasoning algorithm for multiattribute decision analysis under uncertainty," IEEE Trans. Syst., Man, Cybern. A, Syst., Humans, vol. 32, no. 3, pp. 289-304, May 2002.
52. J. B. Yang and D. L. Xu, "Nonlinear information aggregation via evidential reasoning in multiattribute decision analysis under uncertainty," IEEE Trans. Syst., Man, Cybern. A, Syst., Humans, vol. 32, no. 3, pp. 376-393, May 2002.
53. J. Yen, "Generalizing the Dempster-Shafer theory to fuzzy sets," IEEE Trans. Syst., Man, Cybern., vol. 20, no. 3, pp. 559-570, May/Jun. 1990.
54. R. J. Calantone, C. A. D. Benedetto, and J. B. Schmidt, "Using the analytic hierarchy process in new product screening," J. Prod. Innov. Manage., vol. 16, pp. 65-76, 1999.