Fuzzy power aggregation operators and their application to multiple attribute group decision making

Technological and Economic Development of Economy

Volumn 19, Issue 3, 2013, Pages 377-396

  Wei, Guiwu ^a   Zhao, Xiaofei ^a   Wang, Hongjun ^a   Lin, Rui ^a  

^a CHONGQING UNIVERSITY OF ARTS AND SCIENCES   (China)

Author keywords

fuzzy power aggregation operator; multiple attribute group decision making (MAGDM); power average operator; power geometric operator; triangular fuzzy numbers

Indexed keywords

EID: 84885415193     PISSN: 20294913     EISSN: 20294921     Source Type: Journal    
DOI: 10.3846/20294913.2013.821684     Document Type: Article

References (26)

1. Bullen, P. S.; Mitrinovic, D. S.; Vasic, P. M.; Means and their inequalities. ReidelDordrecht1988http://dx.doi.org/10.1007/978-94-017-2226-1
2. Chen, H. Y.; Liu, C. L.; Sheng, Z. H.; 2004. Induced ordered weighted harmonic averaging (IOWHA) operator and its application to combination forecasting method. Chinese Journal of Management Science 12(5): 35-40.
3. Herrera, F.; Herrera-Viedma, E.; 2000. Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets and Systems 115, 67-82. http://dx.doi.org/10.1016/S0165-0114(99)00024-X.
4. Liu, P. D.; 2009. Multi-attribute decision-making method research based on interval vague set and TOPSIS method. Technological and Economic Development of Economy 15(3): 453-463. http://dx.doi.org/10.3846/1392-8619.2009.15.453-463.
5. Matarazzo, B.; Munda, G.; 2001. New approaches for the comparison of L-R fuzzy numbers: a theoretical and operational analysis. Fuzzy Sets and Systems 118, 407-418. http://dx.doi.org/10.1016/S0165-0114(98)00425-4.
6. Merigó, J. M.; Gil-Lafuente, A. M.; 2009. The induced generalized OWA operator. Information Sciences 179, 729-741. http://dx.doi.org/10.1016/j.ins.2008.11.013.
7. Van Laarhoven, P. J. M.; Pedrycz, W.; 1983. A fuzzy extension of Saaty's priority theory. Fuzzy Sets and Systems 11, 229-241. http://dx.doi.org/10.1016/S0165-0114(83)80082-7.
8. Wang, X. R.; Fan, Z. P.; 2003. Fuzzy ordered weighted averaging (FOWA) operator and its application. Fuzzy Systems and Mathematics 17(4): 67-72.
9. Wei, G. W.; 2011a. FIOWHM operator and its application to multiple attribute group decision making. Expert Systems with Applications 38(4): 2984-2989. http://dx.doi.org/10.1016/j.eswa.2010.08.087.
10. Wei, G. W.; 2011b. Grey relational analysis method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information. Expert Systems with Applications 38(5): 4824-4828. http://dx.doi.org/10.1016/j.eswa.2010.09.163.
11. Wei, G. W.; 2011c. Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making. Computers and Industrial Engineering 61(1): 32-38. http://dx.doi.org/10.1016/j.cie.2011.02.007.
12. Wei, G. W.; 2012. Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making. Expert Systems with Applications 39(1): 2026-2034. http://dx.doi.org/10.1016/j.eswa.2011.08.031.
13. Xu, Y. J.; Wang, H. M.; 2011. Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment. Applied Soft Computing 11(5): 3988-3997. http://dx.doi.org/10.1016/j.asoc.2011.02.027.
14. Xu, Z. S.; 2002. A fuzzy ordered weighted geometric operator and its application to in fuzzy AHP. Journal of Systems Engineering and Electronics 31(4): 855-858.
15. Xu, Z. S.; 2003. A priority method for triangular fuzzy number complementary judgement matrix. Systems Engineering - Theory & Practice 23(10): 86-89.
16. Xu, Z. S.; Da, Q. L.; 2003. Method based on fuzzy linguistic scale and FIOWGA operator for decision making problems. Journal of Southeast University (English Edition) 19(1): 88-91.
17. Xu, Z. S.; Wu, D.; 2004. Method based on fuzzy linguistic judgement matrix and fuzzy fuzzy induced ordered weighted averaging (FIOWA) operator for decision making problems with a limited set of alternatives. Fuzzy Systems and Mathematics 18(1): 76-80.
18. Xu, Z. S.; 2009. Fuzzy harmonic mean operators. International Journal of Intelligent Systems 24, 152-172. http://dx.doi.org/10.1002/int.20330.
19. 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.
20. Xu, Z. S.; Cai, X. Q.; 2012. Uncertain power average operators for aggregating interval fuzzy preference realtions. Group Decision and Negotiation 221(3): 381-397. http://dx.doi.org/10.1007/s10726-010-9213-7.
21. Xu, Z. S.; Yager, R. R.; 2010. Power-Geometric operators and their use in group decision making. IEEE Transactions on Fuzzy Systems 18(1): 94-105. http://dx.doi.org/10.1109/TFUZZ.2009.2036907.
22. Yager, R. R.; 2001. The power average operator, IEEE Transactions on Systems, Man. and Cybernetics-Part A 31(6): 724-731. http://dx.doi.org/10.1109/3468.983429.
23. Yager, R. R.; 1988. On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Transactions on Systems, Man. and Cybernetics 18, 183-190. http://dx.doi.org/10.1109/21.87068.
24. Yager, R. R.; 2004. Generalized OWA aggregation operators. Fuzzy Optimization and Decision Making 3, 93-107. http://dx.doi.org/10.1023/B:FODM.0000013074.68765.97.
25. Zétényi, T. 1998. Fuzzy sets in psychology. North-Holland, Amsterdam.
26. 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.