An induced generalised intuitionistic fuzzy Choquet Shapley operator for multi-attribute decision making

International Journal of Modelling, Identification and Control

Volumn 20, Issue 4, 2013, Pages 387-397

  Meng, Fan Yong ^a   Zhu, Quanmin ^b  

^a QINGDAO TECHNOLOGICAL UNIVERSITY   (China)

^b UNIVERSITY OF THE WEST OF ENGLAND   (United Kingdom)

Author keywords

Choquet integral; Generalised Shapley function; Modelling; Multi attribute decision making; TOPSIS method

Indexed keywords

FUZZY SETS; INTEGRAL EQUATIONS; MODELS;

ATTRIBUTE SETS; CHOQUET INTEGRAL; FUZZY MEASURES; INTUITIONISTIC FUZZY; MULTI ATTRIBUTE DECISION MAKING; SHAPLEY FUNCTION; TECHNIQUE FOR ORDER PERFORMANCE BY SIMILARITY TO IDEAL SOLUTION METHODS (TOPSIS); TOPSIS METHOD;

DECISION MAKING;

EID: 84888592017     PISSN: 17466172     EISSN: 17466180     Source Type: Journal    
DOI: 10.1504/IJMIC.2013.057572     Document Type: Article

References (37)

1. Atanassov, K. T. (1986) 'Intuitionistic fuzzy sets', Fuzzy Sets and Systems, Vol. 20, No. 1, pp. 87-96.
2. Bustince, H., Herrera, F. and Montero, J. (2007) Fuzzy Sets and Their Extensions: Representation, Aggregation, and Models, Springer-Verlag, Heidelberg.
3. Cao, Q. W. and Wu, J. (2011) 'The extended COWG operators and their application to multiple attributive group decision making problems with interval numbers', Applied Mathematical Modelling, Vol. 35, No. 5, pp. 2075-2086.
4. De, S. K., Biswas, R. and Roy, A. R. (2000) 'Some operations on intuitionistic fuzzy sets', Fuzzy Sets and Systems, Vol. 114, No. 3, pp. 477-484.
5. Grabisch, M. (1997) 'k-order additive discrete fuzzy measures and their representation', Fuzzy Sets and Systems, Vol. 92, No. 1, pp. 167-189.
6. Hanafy, M., Gomaa, M. M., Taher, M. and Wahba, A. M. (2012) 'Development of a technology for car's auto-parking using swarm search-based fuzzy control system', International Journal of Modelling, Identification and Control, Vol. 17, No. 1, pp. 85-97.
7. Hu, J. W. S., Hu, Y. C. and Bein, H. C. (2011) 'Constructing a corporate social responsibility fund using fuzzy multiple criteria decision making', International Journal of Fuzzy Systems, Vol. 13, No. 1, pp. 195-205.
8. Jaganathan, S., Jinson, J. E. and Ker, J. (2007) 'Fuzzy analytic hierarchy process based group decision support system to select and evaluate new manufacturing technologies', International Journal of Advanced Manufacturing Technology, Vol. 32, No. 1, pp. 1253-1262.
9. Jiang, Y. C., Tang, Y., Wang, J. and Tang, S. (2009) 'Reasoning within intuitionistic fuzzy rough description logics', Information Science, Vol. 179, No. 14, pp. 2362-2378.
10. Kaya, T. and Kahraman, C. (2011) 'Fuzzy multiple criteria forestry decision making based on an integrated VIKOR and AHP approach', Expert Systems with Applications, Vol. 38, No. 6, pp. 7326-7333.
11. Marichal, J. L. (2000) 'The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making', Discrete Applied Mathematics, Vol. 107, Nos. 1-3, pp. 139-164.
12. Merigó, J. M. and Casanovas, M. (2010) 'Decision making with distance measures and linguistic aggregation operators', International Journal of Fuzzy Systems, Vol. 12, No. 1, pp. 190-198.
13. Mohan, B. M. and Ghosh, A. (2012) 'Fuzzy two-term controllers with multi-fuzzy sets: mathematical models and analysis', International Journal of Modelling, Identification and Control, Vol. 15, No. 3, pp. 199-218.
14. Mon, Y. J. and Lin, C. M. (2012) 'Fuzzy sliding PDC control for some non-linear systems', International Journal of Modelling, Identification and Control, Vol. 16, No. 4, pp. 372-379.
15. Negi, D. S. (1989) Fuzzy Analysis and Optimization, PhD thesis, Department of Industrial Engineering, Kansas State University.
16. Nehi, H. M. (2010) 'A new ranking method for intuitionistic fuzzy numbers', International Journal of Fuzzy Systems, Vol. 12, No. 1, pp. 80-86.
17. Su, Z. X., Xia, G. P., Chen, M. Y. and Wang, L. (2012) 'Induced generalized intuitionistic fuzzy OWA operator for multi-attribute group decision making', Expert Systems with Applications, Vol. 39, No. 2, pp. 1902-1910.
18. Sugeno, M. (1974) Theory of Fuzzy Integral and its Application, Doctorial dissertation, Tokyo Institute of Technology.
19. Tan, C. Q. (2011) 'Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making', Soft Computing, Vol. 15, No. 5, pp. 867-876.
20. Tan, C. Q. and Chen, X. H. (2010) 'Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making', Expert Systems with Applications, Vol. 37, No. 1, pp. 149-157.
21. Tan, C. Q. and Chen, X. H. (2011) 'Induced intuitionistic fuzzy Choquet integral operator for multi-criteria decision making', International Journal of Intelligent Systems, Vol. 26, No. 7, pp. 659-686.
22. Wang, L., Chu, J. and Wu, J. (2007) 'Selection of optimum maintenance strategies based on a fuzzy analytic hierarchy process', International Journal of Production Economics, Vol. 107, No. 1, pp. 151-163.
23. Wu, J., Cao, Q. W. and Zhang, J. L. (2011) 'An ILOWG operator based group decision making method and its application to evaluate the supplier criteria', Mathematical and Computer Modelling, Vol. 54, No. 1, pp. 19-34.
24. Wu, J., Li, J. C., Li, H. and Duan, W. Q. (2009) 'The induced continuous ordered weighted geometric operators and their application in group decision making', Computers & Industrial Engineering, Vol. 56, No. 4, pp. 1545-1552.
25. Xu Z. S. and Chen, J. (2007b) 'Approach to group decision making based on interval valued-intuitionistic judgment matrices', Systems Engineering-Theory & Practice, Vol. 27, No. 1, pp. 126-133.
26. Xu Z. S. and Xia, M. M. (2011) 'Induced generalized intuitionistic fuzzy operators', Knowledge-Based Systems, Vol. 24, No. 2, pp. 197-209.
27. Xu, Z. S. (2007) 'Intuitionistic fuzzy aggregation operators', IEEE Transactions on Fuzzy Systems, Vol. 15, No. 6, pp. 1179-1187.
28. Xu, Z. S. (2010) 'Choquet integrals of weighted intuitionistic fuzzy information', Information Science, Vol. 180, No. 5, pp. 726-736.
29. Xu, Z. S. and Chen, J. (2007a) 'On geometric aggregation over interval-valued intuitionistic fuzzy information', Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), Vol. 2, pp. 466-471.
30. Xu, Z. S. and Yager, R. R. (2006) 'Some geometric aggregation operators based on intuitionistic fuzzy sets', International Journal of General Systems, Vol. 35, No. 4, pp. 417-433.
31. Xu, Z. S., Chen, J. and Wu, J. J. (2008) 'Clustering algorithm for intuitionistic fuzzy sets', Information Science, Vol. 178, No. 19, pp. 3775-3790.
32. Yager, R. R. (1988) 'On ordered weighted averaging aggregation operators in multicriteria decision making', IEEE Transactions on Systems, Man, and Cybernetics, Vol. 18, No. 1, pp. 183-190.
33. Yager, R. R. (2004) 'OWA aggregation over a continuous interval argument with applications to decision making', IEEE Transactions on Systems, Man, and Cybernetics, Vol. 34, No. 5, pp. 1952-1963.
34. Yager, R. R. and Xu, Z. S. (2006) 'The continuous ordered weighted geometric operator and its application to decision making', Fuzzy Sets and Systems, Vol. 157, No. 10, pp. 1393-1402.
35. Zadeh, L. A. (1965) 'Fuzzy sets', Information Control, Vol. 8, No. 3, pp. 338-353.
36. Zhang, X. M., Xu, Z. S. and Yu, X. H. (2011) 'Shapley value and Choquet integral-based operators for aggregating correlated intuitionistic fuzzy information', Information: An International Interdisciplinary Journal, Vol. 14, No. 6, pp. 1847-1858.
37. Zhao, L. (2012) 'Application of interval type-2 fuzzy neural networks to predict short-term traffic flow', International Journal of Modelling, Identification and Control, Vol. 43, No. 1, pp. 67-75.