A direct approach to group decision making with uncertain additive linguistic preference relations

Fuzzy Optimization and Decision Making

Volumn 5, Issue 1, 2006, Pages 21-32

  Xu, Zeshui ^a  

^a Tsinghua University   (China)

Author keywords

Group decision making; Uncertain additive linguistic preference relations; Uncertain linguistic averaging (ULA) operator; Uncertain linguistic weighted averaging (ULWA) operator

Indexed keywords

INFORMATION ANALYSIS; LINGUISTICS;

GROUP DECISION MAKING; UNCERTAIN LINGUISTIC AVERAGING (ULA) OPERATORS;

DECISION MAKING;

EID: 33644499222     PISSN: 15684539     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10700-005-4913-1     Document Type: Article

References (35)

1. Bordogna, G., M. Fedrizzi, and G. Passi. (1997). "A Linguistic Modeling of Consensus in Group Decision Making Based on OWA Operator," IEEE Transactions on Systems, Man, and Cybernetics 27, 126-132.
2. Bortolan, G. and R. Degani. (1985). "A Review of Some Methods for Ranking Fuzzy Numbers," Fuzzy Sets and Systems 15, 1-19.
3. Carlsson, C. and R. Fuller. (2000). "Benchmaking and Linguistic Importance Weighted Aggregations," Fuzzy Sets and Systems 114, 35-42.
4. Chiclana, F., F. Herrera, and E. Herrera-Viedma. (1998). "Integrating Three Representation Models in Fuzzy Multipurpose Decision Making Based on Fuzzy Preference Relations," Fuzzy Set and Systems 97, 33-48.
5. Chiclana, F., F. Herrera, and E. Herrera-Viedma. (2001). "Integrating Multiplicative Preference Relations in a Multipurpose Decision Making Model Based on Fuzzy Preference Relations," Fuzzy Sets and Systems 122, 277-291.
6. Cordón, O., F. Herrera, and I. Zwir. (2002). "Linguistic Modeling by Hierarchical Systems of Linguistic Rules," IEEE Transactions on fuzzy systems 10, 2-20.
7. Degani, R. and G. Bortolan. (1988). "The Problem of Linguistic Approximation in Clinical Decision Making," International Journal of Approximate Reasoning 2, 143-162.
8. Delgado, M., J. L. Verdegay, and M. A. Vila. (1993). "On Aggregation Operations of Linguistic Labels," International Journal of Intelligent Systems 8, 351-370.
9. Dubois, D. and H. Prade. (1983). "Ranking Fuzzy Numbers in the Setting of Possibility," Information Sciences 30, 183-224.
10. Facchinetti, G., R. G. Ricci, and S. Muzzioli. (1998). "Note on Ranking Fuzzy Triangular Numbers," International Journal of Intelligent Systems 13, 613-622.
11. Herrera, F. (1995). "A Sequential Selection Process in Group Decision Making with Linguistic Assessment," Information Sciences 85, 223-239.
12. Herrera, F. and E. Herrera-Viedma. (2000). "Choice Functions and Mechanisms for Linguistic Preference Relations," European Journal of Operational Research 120, 144-161.
13. Herrera, F., E. Herrera-Viedma, and F. Chiclana. (2001). "Multiperson Decision-Making Based on Multiplicative Preference Relations," European Journal of Operational Research 129, 372-385.
14. Herrera, F. and L. Martínez. (2000a). "A 2-Tuple Fuzzy Linguistic Representation Model for Computing with Words," IEEE Transactions on Fuzzy Systems 8, 746-752.
15. Herrera, F. and L. Martínez. (2000b). "An Approach for Combining Linguistic and Numerical Information Based on 2-Tuple Fuzzy Linguistic Representation Model in Decision-Making," International Journal of Uncertainty, Fuzziness, Knowledge-based Systems 8, 539-562.
16. Herrera, F. and L. Martínez. (2001). "A Model Based on Linguistic 2-Tuples for Dealing with Multigranular Hierarchical Linguistic Contexts in Multi-Expert Decision-Making," IEEE Transactions on Systems, Man, and Cybernetics-Part B 31, 227-234.
17. Kacprzyk, J. (1986). "Group Decision Making with a Fuzzy Linguistic Majority," Fuzzy Sets and Systems 18, 105-118.
18. Liou, T. S. and J. J. M. Wang. (1992). "Ranking Fuzzy Numbers with Integral Value," Fuzzy Sets and Systems 50, 247-255.
19. Lipovetsky, S. and M. Michael Conklin. (2002). "Robust Estimation of Priorities in the AHP," European Journal of Operational Research 137, 110-122.
20. Nurmi, H. (1981). "Approaches to Collective Decision Making with Fuzzy Preference Relations," Fuzzy Sets and Systems 6, 249-259.
21. Orlovsky, S. A. (1978). "Decision-Making with a Fuzzy Preference Relation," Fuzzy Sets and Systems 1, 155-167.
22. Saaty, T. L. (1980). The Analytic Hierarchy Process. New York: McGraw-Hill.
23. Saaty, T. L. (1994). Fundamentals of Decision Making and Priority Theory with the AHP. Pittsburgh: RWS Publications.
24. Sengupta, A. and T. K. Pal. (2000). "On Comparing Interval Numbers," European Journal of Operational Research 127, 28-43.
25. Torra, V. (1996). "Negation Functions Based Semantics for Ordered Linguistic Labels," International Journal of Intelligent Systems 11, 975-988.
26. Xu, Z. S. (2000a). "On Consistency of the Weighted Geometric Mean Complex Judgment Matrix in AHP," European Journal of Operational Research 126, 683-687.
27. Xu, Z. S. (2000b). "Generalized Chi Square Method for the Estimation of Weights," Journal of Optimization Theory and Applications 107, 183-192.
28. Xu, Z. S. (2004a). "Goal Programming Models for Obtaining the Priority Vector of Incomplete Fuzzy Preference Relation," International Journal of Approximate Reasoning 36, 261-270.
29. Xu, Z. S. (2004b). "A Method Based on Linguistic Aggregation Operators for Group Decision Making with Linguistic Preference Relations," Information Sciences 166, 19-30.
30. Xu, Z. S. (2004c). Uncertain Multiple Attribute Decision Making: Methods and Applications. Beijing: Tsinghua University Press.
31. Xu, Z. S. and C. P. Wei. (1999). "A Consistency Improving Method in the Analytic Hierarchy Process," European Journal of Operational Research 116, 443-449.
32. Xu, Z. S. and Q. L. Da. (2002). "The Uncertain OWA Operator," International Journal of Intelligent Systems 17, 569-575.
33. Xu, Z. S. and Q. L. Da. (2003). "An Approach to Improving Consistency of Fuzzy Preference Matrix," Fuzzy Optimization and Decision Making 2, 3-12.
34. Xu, Z. S. and Q. L. Da. (2005). "A Least Deviation Method to Obtain a Priority Vector of a Fuzzy Preference Relation," European Journal of Operational Research 164, 206-216.
35. Zadeh, L. A. and J. Kacprzyk. (1999). Computing with Words in Information/Intelligent Systems-Part 1: Foundations: Part 2: Applications, Vol. I. Heidelberg, Germany: Physica-Verlag.