Induced ordered weighted evidential reasoning approach for multiple attribute decision analysis with uncertainty

International Journal of Intelligent Systems

Volumn 29, Issue 10, 2014, Pages 906-925

  Yao, Shuang ^a   Huang, Wei Qiang ^b  

^a SHENYANG UNIVERSITY OF CHEMICAL TECHNOLOGY   (China)

^b NORTHEASTERN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION THEORY;

DECISION FUNCTIONS; DECISION MATRICES; DEMPSTER-SHAFER THEORY OF EVIDENCE; EVIDENTIAL REASONING; EVIDENTIAL REASONING APPROACHES; INDUCED ORDERED WEIGHTED AVERAGING OPERATORS; MULTIPLE ATTRIBUTE DECISION ANALYSIS; MULTIPLE ATTRIBUTES;

UNCERTAINTY ANALYSIS;

EID: 84906780826     PISSN: 08848173     EISSN: 1098111X     Source Type: Journal    
DOI: 10.1002/int.21669     Document Type: Article

References (36)

1. Hwang CL, Yoon K,. Multiple attribute decision-making: Methods and applications. Berlin: Springer; 1981.
2. Keeney RL, Raiffa H,. Decision with multiple objectives: Preference and value Tradeoffs. New York: Wiley; 1976.
3. Saaty TL,. The analytic hierarchy process. New York: McGraw-Hill; 1980.
4. Yager RR,. On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern B 1988; 18: 183-190.
5. Yang JB, Sen P,. A general multi-level evaluation process for hybrid MADA with uncertainty. IEEE Trans Syst Man Cybern 1994; 24: 1458-1473.
6. Yang JB, Singh MG,. An evidential reasoning approach for multiple attribute decision making with uncertainty. IEEE Trans Syst Man Cybern 1994; 24: 1-18.
7. Yang JB,. Rule and utility based evidential reasoning approach for multi-attribute decision analysis under uncertainties. Eur J Oper Res 2001; 131: 31-61.
8. Yang JB, Xu DL,. On the evidential reasoning algorithm for multiattribute decision analysis under uncertainty. IEEE Trans Syst Man Cybern A 2002; 32: 289-304.
9. Yang JB, Xu DL,. Nonlinear information aggregation via evidential reasoning in multiattribute decision analysis under uncertainty. IEEE Trans Syst Man Cybern A 2002; 32: 376-393.
10. Wang YM, Yang JB, Xu DL, Chin KS,. The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees. Eur J Oper Res 2006; 175: 35-66.
11. Xu DL, Yang JB, Wang YM,. The ER approach for multi-attribute decision analysis under interval uncertainties. Eur J Oper Res 2006; 174: 1914-1943.
12. Yang JB, Wang YM, Xu DL, Chin KS,. The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties. Eur J Oper Res 2006; 171: 309-343.
13. Guo M, Yang JB, Chin KS, Wang HW,. Evidential reasoning based preference programming for multiple attribute decision analysis under uncertainty. Eur J Oper Res 2007; 182: 1294-1312.
14. Dempster AP,. Upper and lower probabilities induced by a multi-valued mapping. Ann Math Stat 1967; 38: 325-339.
15. Dempster AP,. A generalization of Bayesian inference. J R Stat Soc B 1968; 30: 205-247.
16. Shafer G,. Mathematical theory of evidence. Princeton, NJ: Princeton University Press; 1976.
17. Srivastava RP, Mock T,. Belief functions in business decisions. Heidelberg, Germany: Physica-Verlag; 2002.
18. Yager RR, Fedrizzi M, Kacprzyk J,. Advances in the Dempster-Shafer theory of evidence. New York: Wiley; 1994.
19. Yang JB, Dale BG, Siow CHR,. Self-assessment of excellence: An application of the evidential reasoning approach. Int J Prod Res 2001; 39: 3789-3812.
20. Sonmez M, Yang JB, Hol GD,. Addressing the contractor selection problem using an evidential reasoning approach. Eng Construct Architect Manag 2001; 8: 198-210.
21. Wang YM, Yang JB, Xu DL,. Environmental impact assessment using the evidential reasoning approach. Eur J Oper Res 2006; 174: 1885-1913.
22. Yager RR, Filev DP,. Induced ordered weighted averaging operators. IEEE Trans Syst Man Cybern B 1999; 29: 141-150.
23. Yager RR,. Families of OWA operators. Fuzzy Sets Syst 1993; 59: 125-148.
24. Yager RR,. Induced aggregation operators. Fuzzy Sets Syst 2003; 137: 59-69.
25. Chiclana F, Herrera F, Herrera-Viedma E,. The ordered weighted geometric operator: properties and application. In: Proc 8th Int Conf Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU), Madrid, Spain; July 3-7, 2000. pp 985-991.
26. Chiclana F, Herrera F, Herrera-Viedma E, Alonso S,. Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations. Int J Intell Syst 2004; 19: 233-255.
27. Xu ZS, Da QL,. An overview of operators for aggregating information. Int J Intell Syst 2003; 18: 953-969.
28. Xu ZS,. An Overview of methods for determining OWA weights. Int J Intell Syst 2005; 20: 843-865.
29. Yager RR,. Decision making under Dempster-Shafer uncertainties. Int J Gen Syst 1992; 20: 233-245.
30. Engemann KJ, Miller HE, Yager RR,. Decision making with belief structures: an application in risk management. Int J Uncertainty Fuzziness Knowledge-Based Syst 1996; 4: 1-26.
31. Merigõ JM, Casanovas M,. Ordered weighted geometric operators in decision making with Dempster-Shafer belief structure. Int J Comput Intell 2008; 4: 261-268.
32. Merigõ JM, Casanovas M,. Induced aggregation operators in decision making with Dempster-Shafer belief structure. Int J Intell Syst 2009; 24: 934-954.
33. Merigõ JM, Casanovas M, Martínez L,. Linguistic aggregation operators for linguistic decision making based on the Dempster-Shafer theory of evidence. Int J Uncertainty Fuzziness Knowledge-Based Syst 2010; 18: 287-304.
34. Casanovas M, Merigõ JM,. Fuzzy aggregation operators in decision making with Dempster-Shafer belief structure. Expert Syst Appl 2012; 39: 7138-7149.
35. Keeney RL, Raiffa H,. Decisions with multiple objectives, 2nd ed. Cambridge, UK: Cambridge University Press; 1993.
36. Winston WL,. Operations research-Applications and algorithms. Belmont, CA: Duxbury Press; 1994.