Induced intuitionistic fuzzy ordered weighted averaging - Weighted average operator and its application to business decision-making

Computer Science and Information Systems

Volumn 11, Issue 2, 2014, Pages 839-857

  Shouzhen, Zeng ^a   Qifeng, Wang ^a   Merigó, José M ^b   Tiejun, Pan ^a  

^a ZHEJIANG WANLI UNIVERSITY   (China)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Decision making; Intuitionistic fuzzy sets; IOWA operator; Weighted average

Indexed keywords

EID: 84904462892     PISSN: 18200214     EISSN: None     Source Type: Journal    
DOI: 10.2298/CSIS130109046S     Document Type: Article

References (39)

1. Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. Springer-Verlag, Berlin. (2007)
2. Calvo, T., Mayor, G., Mesiar, R.: Aggregation operators: New trends and applications. Physica-Verlag, New York. (2002)
3. Torra, V., Narukawa, Y.: Modelling decisions: Information fusion and aggregation operators. Springer-Verlag, Berlin. (2007)
4. Xu, Z. S., Da, Q. L.: An overview of operators for aggregating information. International Journal of Intelligent Systems, Vol. 18, No. 9, 953-968. (2003)
5. Yager, R. R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cybernetics B, Vol. 18, No. 1, 183-190. (1988)
6. Liu, P. D., Zhang X., Jin, F.: A multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators. Journal of Intelligent and Fuzzy Systems, Vol. 23, No. 5, 159-168. (2012)
7. Chen, H. Y., Zhou, L. G.: An approach to group decision making with interval fuzzy preference relations based on induced generalized continuous ordered weighted averaging operator. Expert Systems with Applications, Vol. 38, No. 10, 13432-13440. (2011)
8. Su, W. H., Yang, Y., Zhang, C. H., Zeng, S. Z.: Intuitionistic fuzzy decision-making with similarity measures and OWA Operator. International Journal of Uncertainty, Fuzziness and Knowledge-Based System, Vol. 21, No. 2, 245-262. (2013)
9. Torra, V.: The weighted OWA operator. Journal of Intelligent Systems, Vol. 12, No. 2, 153-166. (1997)
10. Xu, Z. S.: Intuitionistic fuzzy aggregation operators. IEEE Transactions on Fuzzy Systems, Vol. 15, No. 6, 1179-1187. (2007)
11. Yager, R. R.: Centered OWA operators. Soft Computing, Vol. 11, No. 7, 631-639. (2007)
12. Yager, R. R., Kacprzyk, J., Beliakov, G.: Recent developments on the ordered weighted averaging operators: Theory and practice. Springer-Verlag, Berlin. (2011)
13. Zhang, Z., Xu, Z. S.: On continuity of ordered aggregation operators. International Journal of Intelligent Systems, Vol. 28, No. 4, 307-318. (2013)
14. Zeng, S. Z., Merigó, J. M., Su, W. H.: The uncertain probabilistic OWA distance operator and its application in group decision making. Applied Mathematical Modelling, Vol. 37, No. 9, 6266-6275. (2013)
15. Zhou, L. G., Chen, H. Y., Liu, J. B.: Generalized power aggregation operators and their applications in group decision making. Computers & Industrial Engineering, Vol. 62, No. 4, 989-999. (2012)
16. Merigó, J. M., Gil-Lafuente, A. M.: New decision-making techniques and their application in the selection of financial products. Information Sciences, Vol. 180, No. 11, 2085-2094. (2010)
17. Yager, R. R., Filev, D. P.: Induced ordered weighted averaging operators. IEEE Transactions on Systems, Man and Cybernetics B, Vol. 29, No. 1, 141-150. (1999)
18. Chiclana, F., Herrera-Viedma, E., Herrera, F., Alonso, S.: 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, Vol. 182, No. 1, 383-399. (2007)
19. Liu, H. C., Mao, L. X, Zhang, Z. Y., Li, P.: Induced aggregation operators in the VIKOR method and its application in material selection. Applied Mathematical Modelling, Vol. 37, No. 9, 6325-6338. (2013)
20. Merigó, J. M.: A unified model between the weighted average and the induced OWA operator. Expert Systems with Applications, Vol. 38, No. 9, 11560-11572. (2011)
21. Merigó, J. M., Casanovas, M.: Decision making with distance measure and induced aggregation operators. Computers & Industrial Engineering, Vol. 60, No. 11, 66-76. (2011)
22. Merigó, J. M., Casanovas, M.: Induced aggregation operators in the Euclidean distance and its application in financial decision-making. Expert Systems with Applications, Vol. 38, No. 6, 7603-7608. (2011)
23. Su, W. H., Peng, W. Z., Zeng, S. Z., Peng, B., Pan, T. J.: A method for fuzzy group decision making based on induced aggregation operators and Euclidean distance. International Transactions in Operational Research, Vol. 20, No. 4, 579-594. (2013)
24. Wei, G. W., Zhao, X. F.: Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making. Expert Systems with Applications, Vol. 39, No. 2, 2026-2034. (2012)
25. Wei, G. W., Zhao, X. F.: Induced hesitant interval-valued fuzzy Einstein aggregation operators and their application to multiple attribute decision making. Journal of Intelligent and Fuzzy Systems, Vol. 24, No. 4, 789-803. (2013).
26. Xu, Z. S.: Induced uncertain linguistic OWA operators applied to group decision making. Information Fusion, Vol. 7, No. 2, 231-238. (2006)
27. Zeng, S. Z., Su, W. H.: Linguistic induced generalized aggregation distance operators and their application to decision making. Economic Computer and Economic Cybernetics Studies and Research, Vol. 46, No. 2, 155-172. (2012)
28. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 20, No. 1, 87-96. (1986)
29. Xu, Z. S., Yager, R. R.: Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, Vol.35, No.4, 417-433. (2006)
30. Liu, P. D., Jin, F.: Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Information Sciences, Vol. 205, No. 1, 58-71. (2012)
31. Wu, J. Z., Zhang, Q.: Multicriteria decision making method based on intuitionistic fuzzy weighted entropy. Expert Systems with Applications, Vol. 38, No. 1, 916-922. (2011)
32. Xu, Y. J., Wang, H. M.: The induced generalized aggregation operators for intuitionistic fuzzy sets and their application in group decision making. Applied Soft Computing, Vol. 12, No. 3, 1168-1179. (2012)
33. Xu, Z. S., Xia, M. M.: Induced generalized intuitionistic fuzzy operators. Knowledge-Based Systems, Vol. 24, No. 2, 197-209. (2011)
34. Yu, D. J.: Intuitionistic fuzzy geometric Heronian mean aggregation operators. Applied Soft Computing, Vol. 13, No. 2, 131235-1246. (2013)
35. Yu, X. H., Xu, Z. S.: Prioritized intuitionistic fuzzy aggregation operators. Information Fusion, Vol. 14, No. 1, 108-116. (2013)
36. Zeng, S. Z.: Some intuitionistic fuzzy weighted distance measures and their application to group decision making. Group decision and Negotiation, Vol. 22, No. 2, 281-298. (2013)
37. Zeng, S. Z, Su, W. H.: Intuitionistic fuzzy ordered weighted distance operator. Knowledge-Based Systems, Vol. 24, No. 8, 1224-1232. (2011)
38. Zeng, S. Z., Su, W. H., Sun, L. R.: A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations. Applied Mathematical Modelling, Vol. 37, No. 10, 6909-6917. (2013)
39. Zeng, S. Z., BALEŽENTIS, T., Su, W. H.: The multi-criteria hesitant fuzzy group decision making with multimoora method. Economic Computer and Economic Cybernetics Studies and Research, Vol. 47, No.3, 171-184. (2013)