Induced continuous Choquet integral operators and their application to group decision making

Computers and Industrial Engineering

Volumn 68, Issue 1, 2014, Pages 42-53

  Meng, Fanyong ^a   Zhang, Qiang ^b  

^a QINGDAO TECHNOLOGICAL UNIVERSITY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Choquet integral; Fuzzy measure; Group decision making; Keywords; Probabilistic generalized semivalue

Indexed keywords

CHOQUET INTEGRAL; FUZZY MEASURES; GROUP DECISION MAKING; KEYWORDS; SEMIVALUE;

FUZZY SYSTEMS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS;

DECISION MAKING;

EID: 84891613377     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2013.11.013     Document Type: Article

References (50)

1. T. Calvo, G. Mayor, and R. Mesiar Aggregation operators: New trends and applications 2002 Physica-Verlag New York
2. H.Y. Chen, C.L. Liu, and Z.H. Sheng Induced ordered weighted harmonic averaging (IOWHA) operator and its application to combination forecasting method Chinese Journal of Management Science 12 2004 35 40
3. H.Y. Chen, J.P. Liu, and H. Wang A class of continuous ordered weighted harmonic (COWH) averaging operators for interval argument and its applications Systems Engineering Theory & Practice 28 2008 86 92
4. H.Y. Chen, and L.G. Zhou An approach to group decision making with interval fuzzy preference relations based on induced generalized continuous ordered weighted averaging operator Expert Systems with Applications 38 2011 13432 13440
5. F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations Fuzzy Sets and Systems 97 1998 33 48 (Pubitemid 128654877)
6. F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating multiplicative preference relations in a multipurpose decision-making based on fuzzy preference relations Fuzzy Sets and Systems 122 2001 277 291 (Pubitemid 32590554)
7. F. Chiclana, E. Herrera-Viedma, F. Herrera, and S. Alonso Some induced ordered weighted averaging operators and their use for solving group decision making problems based on fuzzy preference relations European Journal of Operational Research 182 2007 383 399 (Pubitemid 46561160)
8. G. Choquet Theory of capacities Annales de l'institut Fourier 5 1953 131 295
9. D. Dubois, and H. Prade Possibility theory: An approach to computerized processing of uncertainty 1988 Plenum Press New York
10. M. Grabisch Fuzzy integral in multicriteria decision making Fuzzy Sets and Systems 69 1995 279 298
11. M. Grabisch The application of fuzzy integrals in multicriteria decision making European Journal of Operational Research 89 1996 445 456 (Pubitemid 126386777)
12. M. Grabisch k-order additive discrete fuzzy measures and their representation Fuzzy Sets and Systems 92 1997 167 189
13. M. Grabisch, and C. Labreuche A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid OR 6 2008 1 44
14. M. Grabisch, and M. Roubens An axiomatic approach to the concept of interactions between players in cooperative games International Journal of Game Theory 28 1999 547 565
15. F. Herrera, and L. Martínez A model based on linguistic 2-tuple for dealing with multigranular hierarchical linguistic contexts in multi-expert decision making IEEE Transactions on Systems, Man, and Cybernetics 31 2001 227 234 (Pubitemid 32415888)
16. I. Kojadinovic Modeling interactions phenomena using fuzzy measures: on the notions of interactions and independence Fuzzy Sets and Systems 135 2003 317 340
17. I. Kojadinovic An axiomatic approach to the measurement of the amount of interactions between criteria or players Fuzzy Sets and Systems 152 2005 417 435 (Pubitemid 40556329)
18. C. Labreuche, and M. Grabisch The Choquet integral for the aggregation of interval scales in multicriteria decision making Fuzzy Sets and Systems 137 2003 11 26
19. X. Liu Some properties of the weighted OWA operator IEEE Transactions on Systems, Man and Cybernetics, Part B 36 2006 118 127 (Pubitemid 43174146)
20. J.L. Marichal The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making Discrete Applied Mathematics 107 2000 139 164
21. J.M. Merigó Fuzzy decision making with immediate probabilities Computers & Industrial Engineering 58 2010 651 657
22. 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
23. J.M. Merigo, and A.M. Gil-Lafuente The induced generalized OWA operator Information Sciences 179 2009 729 741
24. P. Miranda, M. Grabisch, and P. Gil p-Symmetric fuzzy measures International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems 10 2002 105 123
25. Negi, D. S. (1989). Fuzzy analysis and optimization. PhD thesis, Department of Industrial Engineering, Kansas State University.
26. L.S. Shapley A value for n-person game 1953 Princeton University Press Princeton
27. Sugeno, M. (1974). Theory of fuzzy integral and its application. Doctorial Dissertation, Tokyo Institute of Technology.
28. Z.X. Su, G.P. Xia, M.Y. Chen, and L. Wang Induced generalized intuitionistic fuzzy OWA operator for multi-attribute group decision making Expert Systems with Applications 39 2012 1902 1910
29. C.Q. Tan A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS Expert Systems with Applications 38 2011 3023 3033
30. C.Q. Tan, and X.H. Chen Induced Choquet ordered averaging operator and its application to group decision making International Journal of Intelligent Systems 25 2010 59 82
31. C.Q. Tan, and X.H. Chen Induced intuitionistic fuzzy Choquet integral operator for multi-criteria decision making International Journal of Intelligent Systems 26 2011 659 686
32. G.W. Wei A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information Expert Systems with Applications 37 2010 7895 7900
33. G.W. Wei Extension of TOPSIS method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information Knowledge and Information Systems 25 2010 623 634
34. G.W. Wei, and X.F. Zhao Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making Expert Systems with Applications 39 2012 2026 2034
35. J. Wu, J.C. Li, H. Li, and W.Q. Duan The induced continuous ordered weighted geometric operators and their application in group decision making Computers & Industrial Engineering 56 2009 1545 1552
36. Z.S. Xu Extended COWA operators and their use in uncertain multi-attribute decision making Systems Engineering Theory & Practice 25 2005 7 13
37. Z.S. Xu Choquet integrals of weighted intuitionistic fuzzy information Information Sciences 180 2010 726 736
38. Z.S. Xu, and Q.L. Da The uncertain OWA operator International Journal of Intelligent Systems 17 2002 569 575 (Pubitemid 34566426)
39. Z.S. Xu, and Q.L. Da An overview of operators for aggregating information International Journal of Intelligent Systems 18 2003 953 969
40. Z.S. Xu, and R.R. Yager Some geometric aggregation operators based on intuitionistic fuzzy sets International Journal of General Systems 35 2006 417 433 (Pubitemid 44726498)
41. R.R. Yager On ordered weighted averaging aggregation operators in multicriteria decision making IEEE Transactions on Systems, Man and Cybernetics 18 1988 183 190
42. R.R. Yager Induced aggregation operators Fuzzy Sets and Systems 137 2003 59 69
43. R.R. Yager OWA aggregation over a continuous interval argument with applications to decision making IEEE Transactions on Systems, Man and Cybernetics, Part B 34 2004 1952 1963
44. R.R. Yager Generalized OWA aggregation operators Fuzzy Optimization and Decision Making 2 2004 93 107
45. R.R. Yager, and D.P. Filev Induced ordered weighted averaging operators IEEE Transactions on Systems, Man and Cybernetics 29 1999 141 150
46. R.R. Yager, and J. Kacprzyk The ordered weighted averaging operators: Theory and applications 1997 Kluwer MA
47. R.R. Yager, and Z.S. Xu The continuous ordered weighted geometric operator and its application to decision making Fuzzy Sets and Systems 157 2006 1393 1402
48. Z.F. Zhang, and X.N. Chu Fuzzy group decision-making for multi-format and multi-granularity linguistic judgments in quality function deployment Expert Systems with Applications 36 2009 9150 9158
49. X.M. Zhang, Z.S. Xu, and X.H. Yu Shapley value and Choquet integral-based operators for aggregating correlated intuitionistic fuzzy information Information: An International Interdisciplinary Journal 14 2011 1847 1858
50. L.G. Zhou, and H.Y. Chen Continuous generalized OWA operator and its application to decision making Fuzzy Sets and Systems 168 2011 18 34