A sd-iitfowa operator and topsis based approach for magdm problems with intuitionistic trapezoidal fuzzy numbers

Technological and Economic Development of Economy

Volumn 21, Issue 1, 2015, Pages 28-47

  Wu, Jian ^a  

^a ZHEJIANG NORMAL UNIVERSITY   (China)

Author keywords

Group decision making; Induced intuitionistic trapezoidal fuzzy ordered weighted arithmetic (IITFOWA) operator; Multiple attribute decision making; TOPSIS

Indexed keywords

EID: 84946567257     PISSN: 20294913     EISSN: 20294921     Source Type: Journal    
DOI: 10.3846/20294913.2014.946982     Document Type: Article

References (52)

1. Ashayeri, J.; Tuzkaya, G.; Tuzkaya, U. 2012. Supply chain partners and configuration selection: an intuitionist fuzzy chouquet integral operator based approach, Expert Systems with Applications 39: 3642–3649. http://dx.doi.org/10.1016/j.eswa.2011.09.055
2. Atanassov, K. 1986. Intuitionstic fuzzy sets, Fuzzy Sets and Systems 20: 87–96. http://dx.doi.org/10.1016s0165-0114(86)80034-3
3. Atanassov, K.; Gargov, G. 1989. Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31: 343–349. http://dx.doi.org/10.1016/0165-0114(89)90205-4
4. Boran, F. E.; Genç, S.; Kurt, M.; Akay, D. 2009. A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method, Expert Systems with Applications 36: 11363–11368. http://dx.doi.org/10.1016/j.eswa.2009.03.039
5. Chiclana, F.; Herrera, F.; Herrera-Viedma, E.; Martínez, L. 2003. A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators, Fuzzy Sets and Systems 13: 771–783. http://dx.doi.org/10.1016/S0165-0114(02)00433-5
6. Chiclana, F.; Herrera, F.; Herrera-Viedma, E.; Martínez, L. 2007. 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: 383–399. http://dx.doi.org/10.1016/j.ejor.2006.08.032
7. Choudhury, A. K.; Shankar, R.; Tiwari, M. K. 2006. Consensus-based intelligent group decision making model for the selection of advanced technology, Decision Support Systems 42: 1776–1799. http://dx.doi.org/10.1016/j.dss.2005.05.001
8. Devi, K. 2011. Extension of VIKOR method in intuitionistic fuzzy environment for robot selection, Expert Systems with Applications 38: 14163–14168. http://dx.doi.org/10.1016/j.eswa.2011.04.227
9. Dong, Y. C.; Xu, Y. F.; Li, H. Y. 2008. On consistency measures of linguistic preference relations, European Journal of Operational Research 189: 430–444. http://dx.doi.org/10.1016/j.ejor.2007.06.013
10. Herrera-Viedma, E.; Herrera, F.; Chiclana, F. 2002. A consensus model for multiperson decision making with different preference structures, IEEE Transactions on Systems, Man and Cybernetics, Part A 32: 394–402. http://dx.doi.org/10.1109/TSMCA.2002.802821
11. Hwang, C. L.; Yoon, K. 1981. Multiple attribute decision making: methods and applications. Berlin: Springer-Verlag. http://dx.doi.org/10.1007/978-3-642-48318-9
12. Li, D. F. 2010. A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems, Computers and Mathematics with Applications 60: 1557–1570. http://dx.doi.org/10.1016/j.camwa.2010.06.039
13. Li, D. F.; Chen, G. H.; Huang, Z. G. 2010. Linear programming method for multiattribute group decision making using IF sets, Information Sciences 180: 1591–1609. http://dx.doi.org/10.1016/j.ins.2010.01.017
14. Li, D. F.; Wang, Y. C.; Liu, S.; Shan, F. 2009. Fractional programming methodology for multi attribute group decision making using IFS, Applied Soft Computing 9: 219–225. http://dx.doi.org/10.1016/j.asoc.2008.04.006
15. Liu, P. D. 2011. A weighted aggregation operators multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers, Expert Systems with Applications 38: 1053–1060. http://dx.doi.org/10.1016/j.apm.2011.09.006
16. Merigó, J. M.; Casanovas, M. 2010. Fuzzy generalized hybrid aggregation operators and its application in decision making, International Journal of Fuzzy Systems 12: 15–24.
17. Merigó, J. M.; Casanovas, M. 2011. The uncertain generalized OWA operator and its application to financial decision making, International Journal of Information Technology & Decision Making 10(2): 211–230. http://dx.doi.org/10.1142/S0219622011004300
18. Merigó, J. M.; Gil-Lafuente, A. M. 2011. Fuzzy induced generalized aggregation operators and its application in multi-person decision making, Expert Systems with Applications 38: 9761–9772. http://dx.doi.org/10.1016/j.eswa.2011.02.023
19. Mohiuddine, S. A.; Şevli, H. 2011. Stability of Pexiderized quadratic functional equation in intuitionistic fuzzy normed space, Journal of Computational and Applied Mathematics 235: 2137–2146. http://dx.doi.org/ 10.1016/j.cam.2010.10.010
20. Mursaleen, M.; Mohiuddine, S. A. 2009. On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space, International Journal of Approximate Reasoning 51: 56–70. http://dx.doi.org/10.1016/j.cam.2009.07.005
21. Nehi, H. M.; Maleki, H. R. 2005. Intuitionistic fuzzy numbers and it’s applications in fuzzy optimization problem, in Proceedings of the 9th WSEAS international conference on systems, 2005, Athens, Greece.
22. Saadati, R.; Vaezpour, S. M.; Chao, Y. J. 2009. Quicksort algorithm: application of a fixed point theorem in intuitionistic fuzzy quasi-metric spaces at a domain of words, Journal of Computational and Applied Mathematics 228: 219–225. http://dx.doi.org/10.1016/j.cam.2008.09.013
23. Szmidt, E.; Kacprzyk, J. 2004. A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning, Lecture Notes in Computer Science 3070: 388–393. http://dx.doi.org/10.1007/978-3-540-24844-6_56
24. Wang, J. Q.; Zhang, Z. 2009. Multi-criteria decision-making method with incomplete certain information based on intuitionistic fuzzy number, Control and Decision 24: 226–230.
25. Wang, Y. M.; Fan, Z. P. 2007. Fuzzy preference relations: aggregation and weight determination, Computers & Industrial Engineering 53: 163–172. http://dx.doi.org/10.1016/j.cie.2007.05.001
26. Wang, Z. J.; Li, K. W.; Wang, W. Z. 2009. An approach to multiattribute decision making with intervalvalued intuitionistic fuzzy assessments and incomplete weights, Information Sciences 179: 3026–3040. http://dx.doi.org/10.1016/j.ins.2009.05.001
27. Wei, G. W. 2008. Maximizing deviation method for multiple criteria decision making in intuitionistic fuzzy setting, Knowledge-Based Systems 21: 833–836. http://dx.doi.org/10.1016/j.knosys.2010.01.003
28. Wei, G. W. 2009. Some geometric aggregation functions and their application to dynamic multiple attribute decision making in intuitionistic fuzzy setting, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17: 179–196. http://dx.doi.org/10.1142/S0218488509005802
29. Wei, G. W. 2010a. Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making, Applied Soft Computing 10: 423–431. http://dx.doi.org/10.1016/j.asoc.2009.08.009
30. Wei, G. W. 2010b. GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting, Knowledge-Based Systems 23: 243–247. http://dx.doi.org/10.1016/j.knosys.2010.01.003
31. Wei, G. W. 2010c. Some arithmetic aggregation operators with intuitionistic trapezoidal fuzzy numbers and their application to group decision making, Journal of Computers 5: 345–351. http://dx.doi.org/10.4304/jcp.5.3.345-351
32. Wei, G. W. 2011. Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making, Expert Systems with Applications 38: 11671–11677. http://dx.doi.org/10.1016/j.eswa.2011.03.048
33. Wei, G. W.; Zhao, X. F. 2012. Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making, Expert Systems with Applications 39: 2026–2034. http://dx.doi.org/10.1016/j.eswa.2011.08.031
34. Wu, J.; Cao, Q. W. 2011. Some issues on properties of the extended IOWA operators in fuzzy group decision making, Expert Systems with Applications 38: 7059–7066. http://dx.doi.org/10.1016/j.eswa.2010.12.007
35. Wu, J.; Cao, Q. W. 2013. Same families of geometric aggregation operators with intuitionistic trapezoidal fuzzy numbers, Applied Mathematical Modelling 37: 318–327. http://dx.doi.org/10.1016/j.apm.2012.03.001
36. Wu, J.; Chiclana, F. 2012. Non-dominance and attitudinal prioritisation methods for intuitionistic and interval-valued intuitionistic fuzzy preference relations, Expert Systems with Applications 39: 13409–13416. http://dx.doi.org/10.1016/j.eswa.2012.05.062
37. Wu, J.; Chiclana, F. 2014a. A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations, Knowledge-Based Systems 99: 97–107. http://dx.doi.org/10.1016/j.knosys.2014.01.017
38. Wu, J.; Chiclana, F. 2014b. Visual information feedback mechanism and attitudinal prioritisation method for group decision making with triangular fuzzy complementary preference relations, Information Sciences 279: 716–736. http://dx.doi.org/10.1016/j.ins.2014.04.025
39. Wu, J.; Huang, H. B.; Cao, Q. W. 2013. Research on AHP with interval-valued intuitionistic fuzzy sets and its application in multi-criteria decision making problems, Applied Mathematical Modelling 37: 9898–9906. http://dx.doi.org/10.1016/j.apm.2013.05.035
40. Wu, J.; Li, J. C.; Li, H.; Duan, W. Q. 2009. The induced continuous ordered weighted geometric operators and their application in group decision making, Computers & Industrial Engineering 56: 1545–1552. http://dx.doi.org/10.1016/j.cie.2008.09.041
41. Wu, J.; Liu, Y. J. 2013. An approach for multiple attribute group decision making problems with interval- valued intuitionistic trapezoidal fuzzy numbers, Computers & Industrial Engineering 66: 311–324. http://dx.doi.org/10.1016/j.cie.2013.07.001
42. Xu, Z. S. 2005. Deviation measures of linguistic preference relations in group decision making, Omega 33: 249–254. http://dx.doi.org/10.1016/j.omega.2004.04.008
43. Xu, Z. S. 2009. An automatic approach to reaching consensus in multiple attribute group decision making, Computers & Industrial Engineering 56: 1369–1374. http://dx.doi.org/10.1016/j.cie.2008.08.013
44. Xu, Z. S. 2010. A method based on distance measure for interval-valued intuitionistic fuzzy group decision making, Information Sciences 180(1): 181–190. http://dx.doi.org/10.1016/j.ins.2009.09.005
45. Xu, Z. S. 2011. Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators, Knowledge-Based Systems 24(6): 749–760. http://dx.doi.org/10.1016/j.knosys.2011.01.011
46. Xu, Z. S.; Yager, R. R. 2009. Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group, Fuzzy Optimization and Decision Making 8: 123–139. http://dx.doi.org/10.1016/j.apm.2013.01.044
47. Yager, R. R.; Filev, D. P. 1999. Induced ordered weighted averaging operators, IEEE Transactions on Systems, Man and Cybernetics 29: 183–190. http://dx.doi.org/10.1109/3477.752789
48. Ye, F. 2010. An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection, Expert Systems with Applications 37: 7050–7055. http://dx.doi.org/10.1016/j.eswa.2010.03.013
49. Ye, J. 2011. Expected value method for intuitionistic trapezoidal fuzzy multicriteria decision-making problems, Expert Systems with Applications 38: 11730–11734. http://dx.doi.org/10.1016/j.eswa.2011.03.059
50. Zadeh, L. A. 1965. Fuzzy sets, Information and Control 8: 338–353. http://dx.doi.org/10.1016/S0019-9958(65)90241-X
51. Zhang, H. Y.; Zhang, W. X.; Wu, W. Z. 2009. On characterization of generalized interval-valued fuzzy rough sets on two universes of discourse, International Journal of Approximate Reasoning 51: 56–70. http://dx.doi.org/10.1016/j.ijar.2009.07.002
52. Zhang, X.; Liu, P. D. 2010. Method for aggregating triangular fuzzy intuitionistic fuzzy information and its application to decision making, Technological and Economic Development of Economy 16(2): 280–290. http://dx.doi.org/10.3846/tede.2010.18