On Consensus of Group Decision Making with Interval Utility Values and Interval Preference Orderings

Group Decision and Negotiation

Volumn 22, Issue 6, 2013, Pages 997-1019

  Xu, Zeshui ^a   Cai, Xiaoqiang ^b  

^a PLA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Consensus; Group decision and negotiation; Interval preference orderings; Interval utility values

Indexed keywords

EID: 84884703574     PISSN: 09262644     EISSN: 15729907     Source Type: Journal    
DOI: 10.1007/s10726-012-9298-2     Document Type: Article

References (44)

1. Bodily SE (1979) A delegation process for combining individual utility functions. Manag Sci 25: 1035-1041.
2. Brock HW (1980) The problem of utility weights in group preference aggregation. Oper Res 28: 176-187.
3. Cabrerizo FJ, Moreno JM, Pérez IJ, Herrera-Viedma E (2010) Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks. Soft Comput 14: 451-463.
4. Chen SJ, Hwang CL (1992) Fuzzy multiple attribute decision making: methods and applications. Springer, Berlin.
5. Chiclana F, Herrera F, Herrera-Viedma E (2001) Integrating multiplicative preference relations in a multipurpose decision making model based on fuzzy preference relations. Fuzzy Sets Syst 122: 277-291.
6. Fan ZP, Liu Y (2010) An approach to solve group decision making problems with ordinal interval numbers. IEEE Trans Syst Man Cybern Part B 40: 1413-1423.
7. Facchinetti G, Ricci RG, Muzzioli S (1998) Note on ranking fuzzy triangular numbers. Int J Intell Syst 13: 613-622.
8. Genc S, Boran FE, Akay D, Xu ZS (2010) Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations. Inf Sci 180: 4877-4891.
9. González-Pachón J, Rodríguez-Galiano MI, Romero C (2003) Transitive approximation to pairwise comparison matrices by using interval goal programming. J Oper Res Soc 54: 532-538.
10. González-Pachón J, Romero C (2001) Aggregation of partial ordinal rankings: an interval goal programming approach. Comput Oper Res 28: 823-834.
11. Haines LM (1998) A statistical approach to the analytic hierarchy process with interval judgments. Eur J Oper Res 110: 112-125.
12. Herrera F, Herrera-Viedma E, Chiclana F (2001) Multiperson decision making based on multiplicative preference relations. Eur J Oper Res 129: 372-385.
13. Herrera-Viedma E, Garcia-Lapresta J, Kacprzyk J, Nurmi H, Fedrizzi M, Zadrozny S (2011) Consensual processes. Springer, Berlin.
14. Herrera-Viedma E, Herrera F, Chiclana F (2002) A consensus model for multiperson decision making with different preference structures. IEEE Trans Syst Man Cybern Part A 32: 394-402.
15. Jiang HF, Xia MM, Wei CP (2010) The priority method of interval fuzzy preference relation. Appl Math Sci 4: 1681-1690.
16. Jiang YL (2007) An approach to group decision making based on interval fuzzy preference relations. Journal of Systems Science and Systems Engineering 16: 113-120.
17. Kacprzyk J, Nurmi H, Fedrizzi M (1997) Consensus under fuzziness. Kluwer, Boston, MA.
18. Li XM, Min M, Tan CF (2005) The functional assessment of agricultural ecosystems in Hubei Province, China. Ecol Model 187: 352-360.
19. Luce RD, Suppes P et al (1965) Preferences, utility and subject probability. In: Luce RD (ed) Handbook of mathematical psychology, vol III. Wiley, New York, pp 249-410.
20. Ma J, Fan ZP, Jiang YP, Mao JY (2006) An optimization approach to multiperson decision making based on different formats of preference information. IEEE Trans Syst Man Cybern Part A 36: 876-889.
21. Mata F, Martínez L, Herrera-Viedma E (2009) An adaptive consensus support model for group decision making problems in a multi-granular fuzzy linguistic context. IEEE Trans Fuzzy Syst 17: 279-290.
22. Ramanathan R, Ganesh LS (1994) Group preference aggregation methods employed in AHP: an evaluation and an intrinsic process for deriving members weightages. Eur J Oper Res 79: 249-265.
23. Saaty TL, Vargas LG (1987) Uncertainty and rank order in the analytic hierarchy process. Eur J Oper Res 32: 107-117.
24. Schubert J (1995) On p in a decision-theoretic apparatus of Dempster-Shafer theory. Int J Approx Reason 13: 185-200.
25. Seo F, Sakawa M (1985) Fuzzy multiattribute utility analysis for collective choice. IEEE Trans Syst Man Cybern 15: 45-53.
26. Strat TM (1990) Decision analysis using belief functions. Int J Approx Reason 4: 391-417.
27. Tanino T (1984) Fuzzy preference ordering in group decision making. Fuzzy Sets Syst 12: 117-131.
28. Wang YM, Yang JB, Xu DL (2005a) A preference aggregation method through the estimation of utility intervals. Comput Oper Res 32: 2027-2049.
29. Wang YM, Yang JB, Xu DL (2005b) A two-stage logarithmic goal programming method for generating weights from interval comparison matrices. Fuzzy Sets Syst 152: 475-498.
30. Wu J, Li JC, Li H, Duan WQ (2009) The induced continuous ordered weighted geometric operators and their application in group decision making. Comput Ind Eng 56: 1545-1552.
31. Xia MM, Xu ZS (2011) Some issues on multiplicative consistency of interval fuzzy preference relations. Int J Inf Technol Decis Mak 10: 1043-1065.
32. Xu RN, Zhai XY (1992) Extensions of the analytic hierarchy process in fuzzy environment. Fuzzy Sets Syst 52: 251-257.
33. Xu ZS (2003) On compatibility of interval fuzzy preference matrices. Fuzzy Optim Decis Mak 3: 217-225.
34. Xu ZS (2006) A C-OWA operator based approach to decision making with interval fuzzy preference relation. Int J Intell Syst 21: 1289-1298.
35. Xu ZS (2007) Multiple attribute group decision making with different formats of preference information on attributes. IEEE Trans Syst Man Cybern Part B 37: 1500-1511.
36. Xu ZS (2009) An automatic approach to reaching consensus in multiple attribute group decision making. Comput Ind Eng 56: 1369-1374.
37. Xu ZS (2011) Consistency of interval fuzzy preference relations in group decision making. Appl Soft Comput 11: 3898-3909.
38. Xu ZS, Cai XQ (2011) Minimizing group discordance optimization model for deriving expert weights. Group Decis Negot. doi: 10. 1007/s10726-011-9253-7.
39. Xu ZS, Cai XQ, Liu SS (2010) Nonlinear programming model integrating different preference structures. IEEE Trans Syst Man Cybern Part A 41: 169-177.
40. Xu ZS, Cai XQ (2012) Uncertain power average operators for aggregating interval fuzzy preference relations. Group Decis Negot 21: 381-397.
41. Xu ZS, Chen J (2008) MAGDM linear programming models with distinct uncertain preference structures. IEEE Trans Syst Man Cybern Part B 38: 1356-1370.
42. Xu ZS, Chen J (2008) Some models for deriving the priority weights from interval fuzzy preference relations. Eur J Oper Res 184: 266-280.
43. Xu ZS, Da QL (2002) The uncertain OWA operator. Int J Intell Syst 17: 569-575.
44. Yager RR, Xu ZS (2006) The continuous ordered weighted geometric operator and its application to decision making. Fuzzy Sets Syst 157: 1393-1402.