Linguistic measures based on fuzzy coincidence for reaching consensus in group decision making

International Journal of Approximate Reasoning

Volumn 16, Issue 3-4 SPEC. ISS., 1997, Pages 309-334

  Herrera, F ^a   Herrera Viedma, E ^b   Verdegay, J L ^b  

^a UNIVERSITY OF GRANADA   (Spain)

^b NONE

Author keywords

Consensus degrees; Group decision making; Linguistic modeling; Linguistic preference relations

Indexed keywords

EID: 0039194530     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0888-613x(96)00121-1     Document Type: Article

References (44)

1. Arrow, K. J., Social Choice and Individual Values, Wiley, 1963.
2. Bezdek, J. C., Spillman, B., and Spillman, R., A fuzzy relation space for group decision theory, Fuzzy Sets and Systems 1, 255-268, 1978.
3. Bezdek, J. C., Spillman, B., and Spillman, R., Fuzzy relation spaces for group decision theory, Fuzzy Sets and Systems 2, 5-14 1978.
4. Bonissone, P. P., and Decker, K. S., Selecting uncertainty calculi and granularity: An experiment in trading-off precision and complexity, in Uncertainty in Artificial Intelligence (L. H. Kanal and J. F. Lemmer, Eds.), North-Holland, 217-247, 1986.
5. Bordogna, G., Fedrizzi, M., and Pasi, G., A linguistic approach to the evaluation of consensus in group decision making, Proceedings of the Fifth International Workshop on Current issues on Fuzzy Technologies (CIFT'95), Trento, 7-13, 1995.
6. Carlsson, C., Ehrenberg, D., Eklund, P., Fedrizzi, M., Gustafsson, P., Lindholm, P., Merkuryeva, G., Riissanen, T., and Ventre, A. G. S., Consensus in distributed soft environments, European J. Oper. Res. 61, 165-185, 1992.
7. Carlsson, C., and Fuller, R., Multiple criteria decision making: The case for interdependence, Comput. Oper. Res. 22, 251-250, 1995.
8. Carlsson, C., and Fuller, R., Fuzzy multiple criteria decision making: Recent developments, Fuzzy Sets and Systems 78, 139-153, 1996.
9. Cutello, V., and Montera, J., Hierarchies of Intensity preference aggregations, Internat. J. Approx. Reason. 10, 123-133, 1994.
10. Delgado, M., Verdegay, J. L., and Vila, M. A., Linguistic decision making models, Internat. J. Intell. Systems 7, 479-492 1993.
11. Delgado, M., Verdegay, J. L., and Vila, M. A., On aggregation operations of linguistic labels, Internat. J. Intell. Systems 8, 351-370, 1993.
12. Delgado, M., Verdegay, J. L., and Vila, M. A., A model for incomplete and vague information in decision making problems, Internat. J. Intell. Systems 9:365-378 (1994).
13. Dubois, D., and Koning, J. L., Social choice axioms for fuzzy set aggregation, Fuzzy Sets and Systems 43, 257-274, 1991.
14. Fedrizzi, M., and Mich, L., Rule based model for consensus reaching group decisions support, Proceedings of Third Conference on Information Processing and Management of Uncertainty in KBS (IPMU'92), Palma de Mallorca, 301-304, 1992.
15. Fedrizzi, M., Kacprzyk, J., Nurmi, H., Consensus degrees under fuzzy majorities and fuzzy preferences using OWA (ordered weighed average) operators, Control Cybernet. 22, 78-86, 1993.
16. Fodor, J., and Roubens, M., Fuzzy Preference Modelling and Multicriteria Decision Support, Kluwer Academic, 1994.
17. Herrera, F., and Herrera-Viedma, E., Aggregation operators for linguistic weighted information, IEEE Trans. System Man Cybernet., to appear.
18. Herrera, F., and Verdegay, J. L., Linguistic assessments in group decision, Proceedings of the First European Congress on Fuzzy and Intelligent Technologies, Aachen, 941-948, 1993.
19. Herrera, F., Herrera-Viedma, E., and Verdegay, J. L., A sequential selection process in group decision making with linguistic assessment, Inform. Sci. 85, 223-239, 1995.
20. Herrera, F., Herrera-Viedma, E., and Verdegay, J. L., A linguistic decision process in group decision making, Group Decision and Negotiation 5, 165-176, 1996.
21. Herrera, F., Herrera-Viedma, E., and Verdegay, J. L., A model of consensus in group decision making under linguistic assessments, Fuzzy Sets and Systems 78, 73-87, 1996.
22. Herrera, F., Herrera-Viedma, E., and Verdegay, J. L., Direct approach processes in group decision making using linguistic OWA operators, Fuzzy Sets and Systems 79, 175-190, 1996.
23. Herrera, F., Herrera-Viedma, E., and Verdegay, J. L., A rational consensus model in group decision making under linguistic assessments, Fuzzy Sets and Systems, to appear.
24. Kacprzyk, J., On some fuzzy cores and "soft" consensus measures in group decision making, in The Analysis of Fuzzy Information (J. Bezdek Ed.), CRC Press, 119-130, 1987.
25. Kacprzyk, J., and Fedrizzi, M., "Soft" consensus measure for monitoring real consensus reaching processes under fuzzy preferences, Control Cybernet. 15, 309-323, 1986.
26. Kacprzyk, J., and Fedrizzi, M., A "soft" measure of consensus in the setting of partial (fuzzy) preferences, European J. Oper. Res. 34, 316-323, 1988.
27. Mich, L., Gaio, L., and Fedrizzi, M., On fuzzy logic-based consensus in group decision, Proceedings of Fifth International Fuzzy Systems Association World Congress, Seoul (IFSA'93), 698-700, 1993.
28. Spillman, B., Bezdek, J., and Spillman, R., Coalition analysis with fuzzy sets, Kybernetes 8, 203-211 1979.
29. Spillman, B., Spillman, R., and Bezdek, J., A fuzzy analysis of consensus in small groups, in Fuzzy Automata and Decision Processes (P. P. Wang and S. K. Chang, Eds.), North-Holland, 331-356, 1980.
30. Tong, M., and Bonissone, P. P., A linguistic approach to decision making with fuzzy sets, IEEE Trans. Systems Man Cybernet. 11, 716-723, 1980.
31. Torra, V., and Cortes, U., Towards an automatic consensus generator tool: EGAC, IEEE Trans. Systems Man Cybernet. 25, 888-894, 1995.
32. Torra, V., Combining fuzzy sets: The geometric consensus functions family, Fuzzy Sets and Systems 74, 335-342, 1995.
33. Wall, J. A., Negotiation: Theory and Practice, Scott, Foresman, Glenview, Ill., 1985.
34. Yager, R. R., On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Trans. Systems Man Cybernet. 18, 183-190, 1988.
35. Yager, R. R., Fuzzy screening systems, in Fuzzy Logic: State of the Art (R. Lowen, Ed.), Kluwer Academic, 251-261, 1993.
36. Yager, R. R., Applications and extension of OWA aggregation, Internat. J. Man-Machine Stud. 37, 103-132, 1992.
37. Yager, R. R., Families of OWA operators, Fuzzy Sets and Systems 59, 125-148, (1993).
38. Yager, R. R., On weighted median aggregation, Internat. J. Uncertainty Fuzziness and Knowledge-Based Systems 2, 101-113, 1994.
39. Yager, R. R., An approach to ordinal decision making, Internat. J. Approx. Reason. 12, 237-261, 1995.
40. Zadeh, L., The concept of a linguistic variable and its applications to approximate reasoning. Part I, Inform. Sci. 8, 299-249, 1975; Part II, Inform. Sci. 8, 301-357, 1975, Part III, Inform. Sci. 9, 43-80, 1975.
41. Zadeh, L., The concept of a linguistic variable and its applications to approximate reasoning. Part I, Inform. Sci. 8, 299-249, 1975; Part II, Inform. Sci. 8, 301-357, 1975, Part III, Inform. Sci. 9, 43-80, 1975.
42. Zadeh, L., The concept of a linguistic variable and its applications to approximate reasoning. Part I, Inform. Sci. 8, 299-249, 1975; Part II, Inform. Sci. 8, 301-357, 1975, Part III, Inform. Sci. 9, 43-80, 1975.
43. Zadeh, L., Fuzzy sets and information granularity, in Advances in Fuzzy Sets Theory and Applications (M. M. Gupta et al., Eds.), North Holland, 3-18, 1979.
44. Zadeh, L. A., A computational approach to fuzzy quantifiers in natural languages, Comput. and Math. Appl. 9, 149-184, 1983.