The uncertain generalized owa operator and its application to financial decision making

International Journal of Information Technology and Decision Making

Volumn 10, Issue 2, 2011, Pages 221-230

  Merigó, José M ^a   Casanovas, Montserrat ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

aggregation operators; decision making; OWA operator; uncertainty

Indexed keywords

EID: 79953711429     PISSN: 02196220     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219622011004300     Document Type: Article

References (59)

1. R. R. Yager, On ordered weighted averaging aggregation operators in multi-criteria decision making, IEEE Transactions on Systematic Man Cybernetics B 18 (1988) 183-190.
2. B. S. Ahn, The uncertain OWA aggregation with weighting functions having a constant level of orness, International Journal of Intelligent Systems 21 (2006) 469-483. (Pubitemid 43671873)
3. B. S. Ahn, The OWA aggregation with uncertain descriptions on weights and input arguments, IEEE Transactions on Fuzzy Systems 15 (2007) 1130-1134. (Pubitemid 350268643)
4. B. S. Ahn and H. Park, Least-squared ordered weighted averaging operator weights, International Journal of Intelligent Systems 23 (2008) 33-49.
5. G. Beliakov, Learning weights in the generalized OWA operators, Fuzzy Optimization and Decision Making 4 (2005) 119-130. (Pubitemid 40356875)
6. G. Beliakov, A. Pradera and T. Calvo, Aggregation Functions: A Guide for Practitioners (Springer-Verlag, Berlin, 2007
7. F. J. Cabrerizo, S. Alonso and E. Herrera-Viedma, A consensus model for group decision making problems with unbalanced fuzzy linguistic information, International Journal of Information & Technical Decision Making 8 (2009) 109-131.
8. T. Calvo, G. Mayor and R. Mesiar, Aggregation Operators: New Trends and Applications (Physica-Verlag, New York, 2002
9. F. Chiclana, F. Herrera and E. Herrera-Viedma, The ordered weighted geometric operator: Properties and application, Proceedings of the 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (Madrid, Spain, 2000), pp. 985-991.
10. A. Emrouznejad and G. R. Amin, Improving minimax disparity model to determine the OWA operator weights, Information Sciences 180 (2010) 1477-1485.
11. J. Fodor, J. L. Marichal and M. Roubens, Characterization of the ordered weighted averaging operators, IEEE Transactions on Fuzzy Systems 3 (1995) 236-240.
12. J. Kacprzyk and S. Zadrozny, Towards a generalized and unified characterization of individual and collective choice functions under fuzzy and nonfuzzy preferences and majority via ordered weighted average operators, International Journal of Intelligent Systems 24 (2009) 4-26.
13. N. Karayiannis, Soft learning vector quantization and clustering algorithms based on ordered weighted aggregation operators, IEEE Transactions on Neural Networks 11 (2000) 1093-1105.
14. X. Liu, The solution equivalence of minimax disparity and minimum variance problems for OWA operators, International Journal of Approximate Reasoning 45 (2007) 68-81. (Pubitemid 46617872)
15. X. Liu and S. Han, Orness and parameterized RIM quantifier aggregation with OWA operators: A summary, International Journal of Approximate Reasoning 48 (2008) 77-97. (Pubitemid 351324055)
16. J. M. Merigó, Fuzzy decision making using immediate probabilities, Computers & Industrial Engineering 58 (2010) 651-657.
17. J. M. Merigó and M. Casanovas, Induced aggregation operators in decision making with the Dempster-Shafer belief structure, International Journal of Intelligent Systems 24 (2009) 934-954.
18. J. M. Merigó and M. Casanovas, Fuzzy generalized hybrid aggregation operators and its application in decision making, International Journal of Fuzzy Systems 12 (2010) 15-24.
19. J. M. Merigó and M. Casanovas, The fuzzy generalized OWA operator and its application in strategic decision making, Cybernetics & Systems 40 (2010) 359-370.
20. J. M. Merigó and A. M. Gil-Lafuente, The generalized adequacy coefficient and its application in strategic decision making, Fuzzy Economic Review 13 (2008) 17-36.
21. J. M. Merigó and A. M. Gil-Lafuente, The induced generalized OWA operator, Information Sciences 179 (2009) 729-741.
22. J. M. Merigó and A. M. Gil-Lafuente, New decision-making techniques and their application in the selection of financial products, Information Sciences 180 (2010) 2085-2094.
23. H. B. Mitchell and D. D. Estrakh, An OWA operator with fuzzy ranks, International Journal of Intelligent Systems 13 (1998) 69-81. (Pubitemid 128609782)
24. J. H. Wang and J. Hao, A new version of 2-tuple fuzzy linguistic representation model for computing with words, IEEE Transactions on Fuzzy Systems 14 (2006) 435-445. (Pubitemid 43898885)
25. X. Wang, Fuzzy number intuitionistic fuzzy arithmetic aggregation operators, International Journal of Fuzzy Systems 10 (2008) 104-111.
26. Y. M. Wang, Y. Luo and Z. Hua, Aggregating preference rankings using OWA operator weights, Information Sciences 177 (2007) 3356-3363. (Pubitemid 46809881)
27. Y. M. Wang and C. Parkan, A preemptive goal programming method for aggregating OWA operator weights in group decision making, Information Sciences 177 (2007) 1867-1877. (Pubitemid 46176946)
28. G. W.Wei, Uncertain linguistic hybrid geometric mean operator and its application to group decision making under uncertain linguistic environment, International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 17 (2009) 251-267.
29. Z. S. Xu, An overview of methods for determining OWA weights, International Journal of Intelligent Systems 20 (2005) 843-865.
30. Z. S. Xu, An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations, Decision Support Systems 41 (2006) 488-499.
31. Z. S. Xu, Dependent uncertain ordered weighted averaging operators, Information Fusion 9 (2008) 310-316.
32. Z. S. Xu and Q. L. Da, The uncertain OWA operator, International Journal of Intelligent Systems 17 (2002) 569-575. (Pubitemid 34566426)
33. Z. S. Xu and Q. L. Da, An overview of operators for aggregating information, International Journal of Intelligent Systems 18 (2003) 953-969.
34. Z. S. Xu and Q. L. Da, Projection method for uncertain multi-attribute decision making with preference information on alternatives, International Journal of Information Technology & Decision Making 3 (2004) 429-434.
35. R. R. Yager, Families of OWA operators, Fuzzy Sets and Systems 59 (1993) 125-148.
36. R. R. Yager, On weighted median aggregation, International Journal of Uncertainty Fuzziness & Knowledge-Based Systems 2 (1994) 101-113.
37. R. R. Yager, Constrained OWA aggregation, Fuzzy Sets and Systems 81 (1996) 89-101. (Pubitemid 126667445)
38. R. R. Yager, Nonmonotonic OWA operators, Soft Computing 3 (1999) 187-196.
39. R. R. Yager, Heavy OWA operators, Fuzzy Optimization and Decision Making 1 (2002) 379-397.
40. R. R. Yager, Generalized OWA aggregation operators, Fuzzy Optimization and Decision Making 3 (2004) 93-107.
41. R. R. Yager, Centered OWA operators, Soft Computing 11 (2007) 631-639.
42. R. R. Yager, Using trapezoids for representing granular objects: Applications to learning and OWA aggregation, Information Sciences 178 (2008) 363-380. (Pubitemid 47600208)
43. R. R. Yager and D. P. Filev, Parameterized andlike and orlike OWA operators, International Journal of General Systems 22 (1994) 297-316.
44. R. R. Yager and J. Kacprzyk, The Ordered Weighted Averaging Operators: Theory and Applications (Kluwer Academic Publishers, Norwell, MA, 1997
45. M. Zarghami, F. Szidarovszky and R. Ardakanian, A fuzzy-stochastic OWA model for robust multi-criteria decision making, Fuzzy Optimization and Decision Making 7 (2008) 1-15.
46. M. Zarghami, F. Szidarovsky and R. Ardakanian, On the relation between compromise programming and ordered weighted averaging operator, Information Sciences 180 (2010) 2239-2248.
47. H. Zhao, Z. S. Xu, M. Ni and S. Liu, Generalized aggregation operators for intuitionistic fuzzy sets, International Journal of Intelligent Systems 25 (2010) 1-30.
48. S. M. Zhou, F. Chiclana, R. I. John and J. M. Garibaldi, Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers, Fuzzy Sets and Systems 159 (2008) 3281-3296.
49. H. Dyckhoff and W. Pedrycz, Generalized means as a model of compensative connectives, Fuzzy Sets and Systems 14 (1984) 143-154. (Pubitemid 15438671)
50. R. E. Moore, Interval Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1966
51. H. K. Alfares and S. O. Duffuaa, Determining aggregate criteria weights from criteria rankings by a group of decision makers, International Journal of Information Technology & Decision Making 7 (2008) 769-781.
52. S. Alonso, E. Herrera-Viedma, F. Chiclana and F. Herrera, Individual and social strategies to deal with ignorance situations in multi-person decision making, International Journal of Information Technology & Decision Making 8 (2009) 313-333.
53. D. F. Li, Relative ratio method for multiple attribute decision making problems, International Journal of Information Technology & Decision Making 8 (2009) 289-311.
54. C. T. Lin, C. Lee and C. S. Wu, Fuzzy group decision making in pursuit of a competitive marketing strategy, International Journal of Information Technology & Decision Making 9 (2010) 281-300.
55. Y. Peng, G. Kou, Y. Shi and Z. Chen, A descriptive framework for the field of data mining and knowledge discovery, International Journal of Information Technology & Decision Making 7 (2008) 639-682.
56. C. Rao and J. Peng, Fuzzy group decision making model based on credibility theory and grey relative degree, International Journal of Information Technology & Decision Making 8 (2009) 515-527.
57. G. W. Wei, Some geometric aggregation functions and their application to dynamic multiple attribute decision making in the intuitionistic fuzzy setting, International Journal of Uncertainty Fuzziness Knowledge-Based Systems 17 (2009) 179-196.
58. Z. S. Xu, A deviation based-approach to intuitionistic fuzzy multiple attribute group decision making, Group Decision and Negotiation 19 (2010) 57-76.
59. Z. S. Xu and H. Hu, Projection models for intuitionistic fuzzy multiple attribute decision making, International Journal of Information Technology & Decision Making 9 (2010) 267-280.