Ordered fuzzy weighted averages and ordered linguistic weighted averages

2010 IEEE World Congress on Computational Intelligence, WCCI 2010

Volumn , Issue , 2010, Pages

  Wu, Dongrui ^a   Mendel, Jerry M ^a  

^a University of Southern California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRISP NUMBERS; FUZZY EXTENSION; FUZZY WEIGHTED AVERAGE; INTERVAL TYPE-2 FUZZY SETS; LINGUISTIC WEIGHTED AVERAGE; ORDERED WEIGHTED AVERAGE OPERATORS;

ARTIFICIAL INTELLIGENCE; DECISION MAKING; FUZZY SETS; LINGUISTICS;

STATISTICAL METHODS;

EID: 78549241656     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2010.5584479     Document Type: Conference Paper

References (36)

1. D. Ben-Arieh and Z. Chen, "Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations," IEEE Trans. on Systems, Man, and Cybernetics-A, vol. 36, no. 3, pp. 558-568, 2006.
2. G. Bordogna, M. Fedrizzi, and G. Pasi, "A linguistic modelling of consensus in group decision making based on OWA operator," IEEE Trans. on Systems, Man, and Cybernetics, vol. 27, p. 126132, 1997.
3. W. M. Dong and F. S. Wong, "Fuzzy weighted averages and implementation of the extension priniple," Fuzzy Sets and Systems, vol. 21,pp. 183-199, 1987.
4. D. Dubois and H. Prade, "A review of fuzzy sets aggregation connectives," Information Sciences, vol. 36, pp. 85-121, 1985.
5. D. Filev and R. Yager, "On the issue of obtaining OWA operator weights," Fuzzy Sets and Systems, vol. 94, pp. 157-169, 1998.
6. Y.-Y. Guh, C.-C. Hon, and E. S. Lee, "Fuzzy weighted average: The linear programming approach via Charnes and Cooper's rule," Fuzzy Sets and Systems, vol. 117, pp. 157-160, 2001.
7. Y.-Y. Guh, C.-C. Hon, K.-M. Wang, and E. S. Lee, "Fuzzy weighted average: A max-min paired elimination method," Journal of of Computers and Mathematics with Application, vol. 32, pp. 115-123, 1996.
8. F. Herrera, "A sequential selection process in group decision making with linguistic assessment," Information Sciences, vol. 85, pp. 223-239, 1995.
9. F. Herrera and J. Verdegay, "Linguistic assessments in group decision," in Proc. 1st European Congress on Fuzzy and Intelligent Technologies, Aachen, 1993, pp. 941-948.
10. F. Herrera and L. Martinez, "A 2-tuple fuzzy linguistic representation model for computing with words," IEEE Trans. on Fuzzy Systems, vol. 8, no. 6, pp. 746-752, 2000.
11. N. N. Karnik and J. M. Mendel, "Centroid of a type-2 fuzzy set," Information Sciences, vol. 132, pp. 195-220, 2001.
12. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications. Upper Saddle River, NJ: Prentice-Hall, 1995.
13. D. H. Lee and M. H. Kim, "Database summarization using fuzzy ISA hierarchies," IEEE Trans. on Systems, Man, and Cybernetics-B, vol. 27, pp. 68-78, 1997.
14. T.-S. Liou and M.-J. J. Wang, "Fuzzy weighted average: An improved algorithm," Fuzzy Sets and Systems, vol. 49, pp. 307-315, 1992.
15. F. Liu and J. M. Mendel, "Aggregation using the fuzzy weighted average, as computed using the Karnik-Mendel Algorithms," IEEE Trans. on Fuzzy Systems, vol. 12, no. 1, pp. 1-12, 2008.
16. X. Liu, "The solution equivalence of minimax disparity and minimum variance problems for OWA operators," International Journal of Approximate Reasoning, vol. 45, pp. 68-81, 2007.
17. P. Majlender, "OWA operators with maximal Renya entropy," Fuzzy Sets and Systems, vol. 155, pp. 340-360, 2005.
18. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introductionand New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
19. J. M. Mendel, R. I. John, and F. Liu, "Interval type-2 fuzzy logic systems made simple," IEEE Trans. on Fuzzy Systems, vol. 14, no. 6, pp. 808-821, 2006.
20. J. M. Mendel and D. Wu, Perceptual Computing: Aiding People in Making Subjective Judgments. Hoboken, NJ:Wiley-IEEE Press, 2010.
21. V. Torra and Y. Narukawa, Modeling Decisions: Information Fusion and Aggregation Operators. Berlin: Springer, 2007.
22. D. Wu, "Intelligent systems for decision support," Ph.D. dissertation, University of Southern California, Los Angeles, CA, May 2009.
23. D. Wu and J. M. Mendel, "Aggregation using the linguistic weighted average and interval type-2 fuzzy sets," IEEE Trans. on Fuzzy Systems, vol. 15, no. 6, pp. 1145-1161, 2007.
24. --, "Enhanced Karnik-Mendel Algorithms for interval type-2 fuzzy sets and systems," in Proc. Annual Meeting of the North American Fuzzy Information Processing Society, San Diego, CA, June 2007, pp. 184-189. (Pubitemid 47533957)
25. --, "Corrections to 'Aggregation using the linguistic weighted average and interval type-2 fuzzy sets'," IEEE Trans. on Fuzzy Systems, vol. 16, no. 6, pp. 1664-1666, 2008.
26. --, "A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets," Information Sciences, vol. 179, no. 8, pp. 1169-1192, 2009.
27. --, "Enhanced Karnik-Mendel Algorithms," IEEE Trans. on Fuzzy Systems, vol. 17, no. 4, pp. 923-934, 2009.
28. --, "Computing with words for hierarchical decision making applied to evaluating a weapon system," IEEE Trans. on Fuzzy Systems, 2010, in press.
29. Z. Xu, "Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment," Information Sciences, vol. 168, pp. 171-184, 2004.
30. R. Yager, "Ranking fuzzy subsets over the unit interval," in Proc. IEEE Conf. on Decision and Control, vol. 17, 1978, pp. 1435-1437.
31. --, "On ordered weighted averaging aggregation operators in multicriteria decision making," IEEE Trans. on Systems, Man, and Cybernetics, vol. 18, pp. 183-190, 1988.
32. R. Yager and J. Kacprzyk, The Ordered Weighted Averaging Operators: Theory and Applications. Norwell, MA: Kluwer, 1997.
33. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-1," Information Sciences, vol. 8, pp. 199-249, 1975.
34. S.-M. Zhou, F. Chiclana, R. I. John, and J. M. Garibaldi, "A practical approach to type-1 OWA operation for soft decision making," in Proc. 8th Int'l FLINS Conf. on Computational Intelligence in Decision and Control, Madrid, Spain, 2008, pp. 507-512.
35. --, "Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers," Fuzzy Sets and Systems, vol. 159, no. 24, pp. 3281-3296, 2008.
36. --, "Type-2 OWA operators - aggregating type-2 fuzzy sets in soft decision making," in Proc. IEEE Int'l Conf. on Fuzzy Systems, Hong Kong, June 2008, pp. 625-630.