Preferences and consistency issues in group decision making

Studies in Fuzziness and Soft Computing

Volumn 220, Issue , 2008, Pages 219-237

  Chiclana, Francisco ^a   Herrera Viedma, Enrique ^a   Alonso, Sergio ^a   Alberto, Ricardo ^a   Pereira, Marques ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35649006772     PISSN: 14349922     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-73723-0_12     Document Type: Article

References (52)

1. S. Alonso, F. Chiclana, F. Herrera, E. Herrera-Viedma, J. Alcalá-Fernández and C. Porcel, "A consistency based procedure to estimate missing pairwise preference values," Int. J. Intell. Syst. accepted for publication, 2005.
2. L. Basile, "Ranking alternatives by weak transitivity relations," in J. Kacprzyk, M. Fedrizzi (Eds.) Multiperson Decision Making using Fuzzy Sets and Possibility Theory, Kluwer Academic Publishers, Dordrecht, pp. 105 - 112, 1990.
3. P.P. Bonissone and K.S. Decker, "Selecting uncertainty calculi and granularity: An experiment in trading-off and complexity". In Kanal, Lemmer (Eds.) Uncertainty in Artificial Intelligence (North-Holland, 1986) 217-247.
4. F. Chiclana, F. Herrera, E. Herrera-Viedma and M.C. Poyatos, "A classification method of alternatives for preference ordering criteria based on fuzzy majority," The Journal of Fuzzy Mathematics Vol. 4, No. 4, pp. 801-813, 1996.
5. F. Chiclana, F. Herrera and E. Herrera-Viedma, "Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations," Fuzzy Sets Syst., Vol. 97, No. 1, pp. 33-48, July 1998.
6. F. Chiclana, F. Herera and E. Herera-Viedma, "Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations," Fuzzy Sets Syst., Vol. 122, No. 2, pp. 277-291, Sept. 2001.
7. F. Chiclana, F. Herrera and E. Herrera-Viedma, "A note on the internal consistency of various preference representations," Fuzzy Sets Syst. Vol. 131, No. 1, pp. 75-78, Oct. 2002.
8. B. De Baets, H. DeMeyer and D. De Schuymer, "Cyclic evaluation of transitivity of reciprocal relations," Soc. Choice Welfare, Vol.26, pp. 217-238, 2006.
9. D. Dubois and H. Prade, Fuzzy sets and systems: Theory and application. Academic Press, New York, 1980.
10. D. Dubois and H. Prade, "A review of fuzzy sets aggregation connectives," Information Sciences, Vol. 36,pp. 85-121, 1985.
11. T. Evangelos, Multi-Criteria Decision Making Methods: A Comparative Study, Dordrecht: Kluwer Academic Publishers, 2000.
12. Z.-P. Fan, S.-H. Xiao and G.-H Hu, "An optimization method for integrating two kinds of preference information in group decision-making," Comput. Ind. Eng., Vol. 46, pp. 329-335, 2004.
13. P.C. Fishburn, The Theory of Social Choice, Princeton University Press, 1973.
14. P.C. Fishburn, Utility Theory for Decision Making, Robert E. Krieger Publishing Company, 1979.
15. P.C. Fishburn, "Preference structures and their numerical representations," Theoretical Computer Science Vol. 217, pp. 359-383, 1999.
16. J.C. Fodor and M. Roubens, "Fuzzy preference modelling and multicriteria decision support." Kluwer, Dordrecht, 1994.
17. J.C. Fodor, R.R. Yager and A. Rybalov, "Structure of Uninorms," Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 5, pp. 411-127, 1997.
18. J.L. García-Lapresta and R.A. Marques, "Constructing reciprocal and stable aggregation operators," Proceedings of AGOP'2003, University of Alcalá de Henares, Madrid, Spain, pp. 73-78, 2003.
19. J.L. García-Lapresta L.C. Meneses, "An empirical analysis of transitivity with four scaled preferential judgment modalities," Review of Economic Design, Vol. 8, pp. 335-346, 2003.
20. J.L. García-Lapresta L.C. Meneses, "Individual valued preferences and their aggregation: Analysis of consistency in a real case," Fuzzy Sets Syst., Vol. 151, pp. 269-284, 2005.
21. J.L. García-Lapresta and J. Montero, "Consistency in preference modelling." In: Modern Information Processing: From Theory to Applications (eds. B. Bouchon-Meunier, G. Coletti, R.R. Yager), Elsevier, pp. 87-97, 2006.
22. F. Herrera, E. Herrera-Viedma and F. Chiclana, "Multiperson decision making based on multiplicative preference relations," Eur. J. Oper. Res., Vol. 129, pp. 372-385, 2001.
23. F. Herera, L. Martínez and P.J. Sánchez, "Managing non-homogeneous information in group decision making," Eur. J. Oper. Res., Vol. 166, pp. 115-132, 2005.
24. E. Herrera-Viedma, S. Alonso, F. Chiclana and F. Herrera, "A consensus model for group decision making with incomplete fuzzy preference relations," IEEE Trans. Fuzzy Syst., accepted for publication 2006.
25. E. Herrera-Viedma, F. Chiclana, F. Herrera and S. Alonso, "A group decision-making model with incomplete fuzzy preference relations based on additive consistency," IEEE Trans. Syst., Man, Cybern. B: Cybernetics, accepted for publication 2006.
26. E. Herera-Viedma, F. Herrera, F. Chiclana and M. Luque, "Some issues on consistency of fuzzy preference relations," Eur. J. Oper. Res., Vol. 154, No. 1, pp. 98-109, Apr. 2004.
27. E. Herrera-Viedma, L. Martínez, F. Mata and F. Chiclana, "A consensus support system model for group decision-making problems with multi-granular linguistic preference relations," IEEE Trans. Fuzzy Syst., Vol. 13, No. 5, pp. 644-658, 2005.
28. E.P. Klement, R. Mesiar and E. Pap, "On the relationship of associative compensatory operators to triangular norms and conorms," Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 4, pp. 129-144, 1996.
29. W. Kołodziejczyk, "Orlovsky's concept of decision-making with fuzzy preference relations - Further results," Fuzzy Sets Syst., Vol. 19, pp. 11-20, 1986.
30. R.D. Luce and P. Suppes, "Preferences, Utility and Subject Probability," in: R.D. Luce et al. (Eds.) Handbook of Mathematical Psychology, Vol. III, Wiley, New York, pp. 249-410, 1965.
31. J. Ma, Z-P. Fan,Y-P. Jiang, J.Y. Mao and L. Ma, "A method for repairing the inconsistency of fuzzy preference relations," Fuzzy Sets Syst. Vol. 157, No. 1, pp. 20-33, 2006.
32. G.H. Marakas, Decision Support Systems in the 21th Century, 2nd edition, New Jersey: Pearson Education, Inc., 2003.
33. Marimin, M. Umano, I. Hatono and H. Tamure, "Linguistic labels for expressing fuzzy preference relations in fuzzy group decision making", IEEE Trans. Syst., Man, Cybern. B: Cybernetics, Vol. 28, pp. 205-218, 1998.
34. G.A. Miller, "The magical number seven or minus two: Some limits on our capacity of processing information", Psychological Rev., Vol. 63, pp. 81-97, 1956.
35. F.J. Montero and J. Tejada, "Some problems on the definition of fuzzy preference relations," Fuzzy Sets Syst., Vol. 20, pp. 45-53, 1986.
36. F.J. Montero and J. Tejada, "A necessary and sufficient condition for the existence of Orlovsky's choice set," Fuzzy Sets Syst., Vol. 26, pp. 121-125, 1988.
37. S.A. Orlovski, "Decision-making with fuzzy preference relations," Fuzzy Sets Syst., Vol. 1, pp. 155-167, 1978.
38. S. Ovchinnikov and M. Roubens, "On fuzzy stric preference, indifference, and incomparability relations," Fuzzy Sets Syst., Vol. 49, No. 1, pp. 15-20, 1992.
39. P. Perny and M. Roubens, "Fuzzy preference modeling." In R. Slowinski (Edt.) Fuzzy sets in decision analysis, operation research and statistics (Massachusetts: Kluwer Academic Publishers, 1998) pp. 3-30.
40. Th. L. Saaty, The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.
41. Th.L. Saaty, Fundamentals of Decision Making and Priority Theory with the AHP, Pittsburg: RWS Publications, 1994.
42. F. Seo and M. Sakawa, "Fuzzy Multiattribute Utility Analysis for Collective Choice," IEEE Transactions on Systems, Man, and Cybernetics, Vol. 15, No. 1, pp. 45-53, 1985.
43. A.K. Sen, "Social Choice Theory: A Re-Examination," Econometrica Vol. 45, pp. 53-89, 1977.
44. W. Silvert, "Symmetric summation: A class of operations on fuzzy sets," IEEE Transactions on Systems, Man, and Cybernetics, Vol. 9, pp. 657-659, 1979.
45. T. Tanino, "Fuzzy preference orderings in group decision making," Fuzzy Sets Syst., Vol. 12, pp. 117-131, 1984.
46. T. Tanino, "Fuzzy preference relations in group decision making," in J. Kacprzyk and M. Roubens (Eds.) Non-Conventional Preference Relations in Decision Making, Springer-Verlag, Berlin, 1988, pp. 54-71.
47. T. Tanino, "On Group Decision Making Under Fuzzy Preferences," in: J. Kacprzyk and M. Fedrizzi (Eds.) Multiperson Decision Making Using Fuzzy Sets and Possibility Theory, Kluwer Academic Publishers, Dordrech, pp. 172-185, 1990.
48. X. Wang, "An investigation into relations between some transitivity-related concepts," Fuzzy Sets Syst., Vol. 89, pp. 257-262, 1997.
49. Q. Zhang, J.C.H. Chen, Y.-Q. He, J. Ma and D.-N Zhou, "Multiple attribute decision making: Approach integrating subjective and objective information," Int. J. Manuf. Technol. Manag., Vol. 5, pp. 338-361, 2003.
50. Q. Zhang, J.C.H. Chen and P.P. Chong, "Decision consolidation: Criteria weight determination using multiple preference formats," Decis. Support Syst., Vol. 38, pp. 247-258, 2004.
51. L. A. Zadeh, "Similarity relations and fuzzy orderings," Information Sciences Vol. 3, pp. 177-200, 1971.
52. H.-J. Zimmermann, Fuzzy Set Theory and Its Applications. Kluwer, Dordrecht, 1991.