On generalized induced linguistic aggregation operators

International Journal of General Systems

Volumn 35, Issue 1, 2006, Pages 17-28

  Xu, Zeshui ^a  

^a Tsinghua University   (China)

Author keywords

Generalized induced linguistic aggregation operators; Linguistic variable; Operational laws; Uncertain linguistic variable

Indexed keywords

CHARACTER SETS; GEOMETRY; MATHEMATICAL OPERATORS; UNCERTAIN SYSTEMS;

GENERALIZED INDUCED LINGUISTIC AGGREGATION OPERATORS; LINGUISTIC VARIABLES; OPERATIONAL LAWS; UNCERTAIN LINGUISTIC VARIABLES;

LINGUISTICS;

EID: 34047145924     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081070500422836     Document Type: Article

References (31)

1. P.P. Bonissone and K.S. Decker, "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., Amsterdam: North-Holland, 1986, pp. 217-247.
2. G. Bordogna, M. Fedrizzi and G. Passi, "A linguistic modeling of consensus in group decision making based on OWA operator", IEEE Trans. Syst. Man. Cybern., 27(1), pp. 126-132, 1997.
3. F. Chiclana, F. Herrera and E. Herrera-Viedma, "Integrating multiplicative preference relations in a multipurpose decision making model based on fuzzy preference relations", Fuzzy Sets Syst., 112(2), pp. 277-291, 2001.
4. R. Degani and G. Bortolan, "The problem of linguistic approximation in clinical decision making", Int. J. Approx. Reason., 2(2), pp. 143-162, 1988.
5. F. Herrera, "A sequential selection process in group decision making with linguistic assessment", Inf. Sci., 85(4), pp. 223-239, 1995.
6. F. Herrera and L. Martínez, "A 2-tuple fuzzy linguistic representation model for computing with words", IEEE Trans. Fuzzy Syst., 8(6), pp. 746-752, 2000.
7. F. Herrera and L. Martínez, "A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making", IEEE Trans. Syst. Man Cybern. Part B, 31(2), pp. 227-234, 2001.
8. F. Herrera, E. Herrera-Viedma and F. Chiclana, "Multiperson decision making based on multi- plicative preference relations", Eur. J. Oper. Res., 129(2), pp. 372-385, 2001.
9. F. Herrera, E. Herrera-Viedma and F. Chiclana, "A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making", Int. J. Intell. Syst., 18(6), pp. 689-707, 2003.
10. V. Torra, "Negation functions based semantics for ordered linguistic labels", Int. J. Intell. Syst., 11(11), pp. 975-988, 1996.
11. V. Torra, "Aggregation of linguistic labels when semantics is based on antonyms", Inter. J. Intell. Syst., 16(4), pp. 513-524, 2001.
12. Z.S. Xu, Uncertain Multiple Attribute Decision Making: Methods and Applications, Beijing: Tsinghua University Press, 2004a.
13. Z.S. Xu, "EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations", Int. J. Unc. Fuzz. Knowl. Based Syst., 12(6), pp. 791-810, 2004b.
14. Z.S. Xu, "Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment", Inform, Sci., 168(1-4), pp. 171-184, 2004c.
15. Z.S. Xu, "Deviation measures of linguistic preference relations in group decision making", Omega, 33(3), pp. 249-254, 2005a.
16. Z.S. Xu, "An overview of methods for determining OWA weights", Int. J. Intell. Syst., 20(8), pp. 843-865, 2005b.
17. Z.S. Xu and Q.L. Da, "The uncertain OWA operator", Int. J. Intell. Syst., 17(6), pp. 569-575, 2002a.
18. Z.S. Xu and Q.L. Da, "The ordered weighted geometric averaging operators", Int. J. Intell. Syst., 17(7), pp. 709-716, 2002b.
19. Z.S. Xu and Q.L. Da, "An overview of operators for aggregating information", Int. J. Intell. Syst., 18(9), pp. 953-969, 2003.
20. Z.S. Xu and Q.L. Da, "A least deviation method to obtain a priority vector of a fuzzy preference relation", Eur. J. Oper. Res., 164(1), pp. 206-216, 2005.
21. R.R. Yager, "On ordered weighted averaging aggregation operators in multicriteria decisionmaking", IEEE Trans. Syst. Man Cybern., 18(1), pp. 183-190, 1988.
22. R.R. Yager, "Families of OWA operators", Fuzzy Sets Syst., 59(2), pp. 125-148, 1993.
23. R.R. Yager, "An approach to ordinal decision making", Int. J. Approx. Reasoning, 12(3-4), pp. 237-261, 1995.
24. R.R. Yager, "The induced fuzzy integral aggregation operator", Int. J. Intell. Syst., 17(11), pp. 1049-1065, 2002.
25. R.R. Yager, "Induced aggregation operators", Fuzzy Sets Syst., 137(1), pp. 59-69, 2003.
26. R.R. Yager and D.P. Filev, "Induced ordered weighted averaging operators", IEEE Trans. Syst. Man Cybern.-Part B, 29(2), pp. 141-150, 1999.
27. R.R. Yager and J. Kacprzyk, The Ordered Weighted Averaging Operators: Theory and Applications, Boston: Kluwer, 1997.
28. L.A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning", Inform. Sci., 8(3), Part 1, pp. 199-249,
29. L.A. Zadeh, Inform. Sci., 8(4), Part 2, pp. 301-357, 1975.
30. L.A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning", Inform. Sci., 9(1), Part 3 pp. 43-80, 1976.
31. L.A. Zadeh and J. Kacprzyk, Computing with Words in Information/ Intelligent Systems-Part 1: Foundations: Part 2: Applications, Heidelberg: Physica-Verlag, vol. 1, 1999.