Aggregation operators for linguistic weighted information

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 27, Issue 5, 1997, Pages 646-656

  Herrera, Francisco ^a   Herrera Viedma, Enrique ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Aggregation operators; Fuzzy linguistic quantifier; Linguistic modeling

Indexed keywords

FUZZY SETS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS;

AGGREGATION OPERATORS; LINGUISTIC WEIGHTED AVERAGING (LWA) OPERATORS; LINGUISTIC WEIGHTED CONJUNCTION (LWC) OPERATORS; LINGUISTIC WEIGHTED DISJUNCTION (LWD) OPERATORS;

COMPUTATIONAL LINGUISTICS;

EID: 0031233089     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/3468.618263     Document Type: Article

References (36)

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. London, U.K.: North-Holland, 1986, pp. 217-247.
2. W. Cholewa, "Aggregation of fuzzy opinions: An axiomatic approach," Fuzzy Sets Syst., vol. 17, pp. 249-259, 1985.
3. C. Carlsson and R. Fuller, "On fuzzy screening systems," in Proc. 3th Eur. Congr. Intelligent Technologies Soft Computing, Aachen, Germany, 1995, pp. 1261-1264.
4. M. Delgado, J. L. Verdegay, and M. A. Vila, "Linguistic decision making models," Int. J. Intelligent Syst., vol. 7, pp. 479-492, 1993.
5. _, "On aggregation operations of linguistic labels," Int. J. Intelligent Syst., vol. 8, pp. 351-370, 1993.
6. _, "A model for incomplete and vague information in decision making problems," Int. J. Intelligent Syst., vol. 9, pp. 365-378 1994.
7. D. Dubois and H. Prade, "A review of fuzzy set aggregation connectives," Inf. Sci., vol. 36, pp. 85-121, 1985.
8. _, "Weighted minimum and maximum operations in fuzzy set theory," Inf. Sci., vol. 39, pp. 205-210, 1986.
9. D. Dubois, H. Prade, and C. Testemale, "Weighted fuzzy pattern matching," Fuzzy Sets Syst., vol. 28, pp. 313-331, 1988.
10. D. Dubois and J. L. Koning, "Social choice axioms for fuzzy set aggregation," Fuzzy Sets Syst., vol. 43, pp. 257-274, 1991.
11. J. Fodor and M. Roubens, Theory and Decision Library Series D: Fuzzy Preference Modeling and Multicriteria Decision Support. London, U.K.: Kluwer, 1994.
12. F. Herrera and J. L. Verdegay, "Linguistic assessments in group decision," in Proc. 11th Eur. Congr. Fuzzy Intelligent Technol., Aachen, Germany, 1993, pp. 941-948.
13. F. Herrera, E. Herrera-Viedma, and J. L. Verdegay, "A sequential selection process in group decision making with linguistic assessment," Inf. Sci., vol. 85, pp. 223-239, 1995.
14. _, "A model of consensus in group decision making under linguistic assessments," Fuzzy Sets Syst., vol. 78, pp. 73-87, 1996.
15. _, "Direct approach processes in group decision making using linguistic OWA operators," Fuzzy Sets Syst., vol. 79, pp. 175-190, 1996.
16. _, "A rational consensus model in group decision making under linguistic assessments," Fuzzy Sets Syst., vol. 88, pp. 31-49, 1997.
17. J. Kacprzyk, "Group decision making with a fuzzy linguistic majority," Fuzzy Sets Syst., vol. 18, pp. 105-118, 1986.
18. J. Kacprzyk and M. Roubens, Lecture Notes in Economics and Mathematical Systems 301: Non-Conventional Preference Relations in Decision Making. Berlin, Germany: Springer-Verlag, 1988.
19. J. Kacprzyk and M. Fedrizzi, Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory. Dordrecht, The Netherlands: Kluwer, 1990.
20. J. Montera, "Aggregation of fuzzy opinions in a non-homogeneous group," Fuzzy Sets Syst., vol. 25, pp. 15-20, 1988.
21. E. Sanchez, "Importance in knowledge systems," Inf. Syst., vol. 14, pp. 455-464, 1989.
22. M. Tong and P. P. Bonissone, "A linguistic approach to decision making with fuzzy sets," IEEE Trans. Syst., Man, Cybern., vol. SMC-10, pp. 716-723, 1980.
23. _, "Linguistic solutions to fuzzy decision problems," Stud. Manage. Sci., vol. 20, pp. 323-334, 1984.
24. V. Torra and U. Cortes, "Toward an automatic consensus generator tool: EGAC," IEEE Trans. Syst., Man, Cybern., vol. 25, pp. 888-894, 1995.
25. R. R. Yager, "Fuzzy decision making using unequal objectives," Fuzzy Sets Syst., vol. 1, pp. 87-95, 1978.
26. _, "A new methodology for ordinal multiple aspect decision based on fuzzy sets," Decision Sci., vol. 12, pp. 589-600, 1981.
27. _, "A note on weighted queries in information retrieval systems," J. Amer. Soc. Inf. Sci., vol. 38, pp. 23-24, 1987.
28. _, "On ordered weighted averaging aggregation operators in multicriteria decision making," IEEE Trans. Syst., Man, Cybern., vol. 18, pp. 183-190, 1988.
29. _, "Applications and extension of OWA aggregation," Int. J. Man-Mach. Stud., vol. 37, pp. 103-132, 1992.
30. _, "Families of OWA operators," Fuzzy Sets Syst., vol. 59, pp. 125-148, 1993.
31. _, "Fuzzy screening systems," in Fuzzy Logic: State of the Art, R. Lowen, Ed. Norwell, MA: Kluwer, 1993, pp. 251-261.
32. _, "On weighted median aggregation," Int. J. Uncertainty, Fuzziness, Knowledge-Based Syst, vol. 2, pp. 101-113, 1994.
33. _, "An approach to ordinal decision making," Int. J. Approx. Reason., vol. 12, pp. 237-261, 1995.
34. L. A. Zadeh, "Fuzzy sets," Inf. Contr., vol. 8, pp. 338-353, 1965.
35. _, "The concept of a linguistic variable and its applications to approximate reasoning-I," Inf. Sci., vol. 8, pp. 199-249, 1975.
36. _, "A computational approach to fuzzy quantifiers in natural languages," Comput. Math. Applicat., pp. 149-184, 1983.