The induced intuitionistic fuzzy Einstein aggregation and its application in group decision-making

Journal of Industrial and Production Engineering

Volumn 30, Issue 1, 2013, Pages 2-14

  Xu, Yejun ^a   Li, Yuanyuan ^a   Wang, Huimin ^a  

^a HOHAI UNIVERSITY   (China)

Author keywords

Einstein operations; Group decision making; Induced intuitionistic fuzzy Einstein aggregation operator; Intuitionistic fuzzy set

Indexed keywords

AGGREGATION OPERATOR; EINSTEIN OPERATIONS; GROUP DECISION-MAKING; INDUCED ORDERED WEIGHTED AVERAGING OPERATORS; INTUITIONISTIC FUZZY INFORMATIONS; INTUITIONISTIC FUZZY SETS; INTUITIONISTIC FUZZY VALUES; MULTIPLE ATTRIBUTE GROUP DECISION MAKINGS (MAGDM);

ALGEBRA; DECISION MAKING; MATHEMATICAL OPERATORS;

FUZZY SETS;

EID: 84878405305     PISSN: 21681015     EISSN: 21681023     Source Type: Journal    
DOI: 10.1080/10170669.2012.745454     Document Type: Article

References (38)

1. Atanassov, K., "Intuitionistic fuzzy sets," Fuzzy Sets and Systems, 20, 87-96 (1986).
2. Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg (1999).
3. Atanassov, K., "New operations defined over the intuitionistic fuzzy sets," Fuzzy Sets and Systems, 61, 137-142 (2004).
4. Burillo, P. and H. Bustine, "Vague sets are intuitionistic fuzzy sets," Fuzzy Sets and Systems, 79, 403-405 (1996).
5. Bustince, H. and P. Burillo, "Correlation of intervalvalued intuitionistic fuzzy sets," Fuzzy Sets and Systems, 74, 237-244 (1995).
6. Chan, F. T. S. and N. Kumar, "Global supplier development considering risk factors using fuzzy extended AHP-based approach," Omega, 35, 417-431 (2007).
7. Chen, S. M., "Similarity measures between vague sets and between elements," IEEE Transactions on Fuzzy Systems, Man, and Cybernetics, 27, 153-158 (1997).
8. Chen, S. M. and J. M. Tan, "Handling multicriteria fuzzy decision-making problems based on vague set theory," Fuzzy Sets and Systems, 67, 163-172 (1994).
9. Chen, T. Y., "Experimental analysis of score functions in multi-criteria decision-making with intuitionistic fuzzy sets," Journal of the Chinese Institute of Industrial Engineers, 28, 206-225 (2011).
10. Chen, T. Y., "Multi-criteria decision-making method with leniency reduction based on interval-valued fuzzy sets," Journal of the Chinese Institute of Industrial Engineers, 28, 1-19 (2011).
11. De, S. K., R. Biswas and A. R. Roy, "Some operations on intuitionistic fuzzy sets," Fuzzy Sets and Systems, 114, 477-484 (2000).
12. De, S. K., R. Biswas and A. R. Roy, "An application of intuitionistic fuzzy sets in medical diagnosis," Fuzzy Sets and Systems, 117, 209-213 (2001).
13. Gau W. L. and D. J. Buehrer. "Vague sets," IEEE Transactions on Systems, Man, and Cybernetics-part A, 23, 610-614 (1993).
14. Grzegorzewski, P., "Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric," Fuzzy Sets and Systems, 148, 319-328 (2004).
15. Hong, D. H. and C. H. Choi, "Multicriteria fuzzy decision-making problems based on vague set theory," Fuzzy Sets and Systems, 114, 103-113 (2000).
16. Lai, H. L. and T. Y. Chen, "A fuzzy risk-assessment method using a TOPSIS approach based on intervalvalued fuzzy numbers," Journal of the Chinese Institute of Industrial Engineers, 28, 467-484 (2011).
17. Li, D. F., "Multiattribute decision making models and methods using intuitionistic fuzzy sets," Journal of Computer and Systems Sciences, 70, 73-85 (2005).
18. Liu, H. W., "Multi-criteria deicision-making methods based on intuitionistic fuzzy sets," European Journal of Operational Research, 179, 220-233 (2007).
19. Merigó, J. M., "A unified model between the weighted average and the induced OWA operator," Expert Systems with Applications, 38, 11560-11572 (2011).
20. Merigó, J. M. and M. Casanovas, "Decision making with distance measures and induced aggregation operators," Computers & Indutrial Engineering, 60, 66-76 (2011).
21. Merigó, J. M. and A. M. Gil-Lafuente, "Fuzzy induced generalized aggregation operators and its application in multi-person decision making," Expert Systems with Applications, 38, 9761-9772 (2011).
22. Szmidt, E. and J. Kacprzyk, "Distances between intuitionistic fuzzy sets," Fuzzy Sets and Systems, 114, 505-518 (2000).
23. Wang, W. Z. and X. W. Liu, "Intuitionistic fuzzy geometric aggregation operators based on Einstein operations," International Journal of Intelligent Systems, 26, 1049-1075 (2011).
24. Wang, W. Z. and X. W. Liu, "Intuitionistic fuzzy information aggregation using Einstein operations," IEEE Transactions on Fuzzy Systems, 20, 923-938 (2012).
25. Wei G. W. "Induced intuitionistic fuzzy ordered weighted averaging operator and its application to multiple attribute group decision making" in G. Wang (ed), RSKT 2008, LNAI 5009, Springer-Verlag, 124-131 Berlin Heidelberg (2008).
26. Wei, G. W., "Some geometric aggregation functions and their application to dynamic multiple attribute decision making in the intuitionistic fuzzy setting," International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 17, 179-196 (2009).
27. Wei, G. W., "Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making," Applied Soft Compting, 10, 423-431 (2010).
28. Xu, Y. J. and H. M. Wang, "The induced generalized aggregation operators for intuitionistic fuzzy sets and their application in group decision making," Applied Soft Computing, 12, 1168-1179 (2011).
29. Xu, Z. S., "Intuitionistic fuzzy aggregation operators," IEEE Transations on Fuzzy Systems, 15, 1179-1187 (2007).
30. Xu, Z. S., "Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making," Control and Decision, 22, 215-219 (2007).
31. Xu, Z. S. and Q. L. Da, "The ordered weighted geometric averaging operators," International Journal of Intelligent Systems, 17, 709-716 (2002).
32. Xu, Z. S. and R. R. Yager, "Some geometric aggregation operators based on intuitionistic fuzzy sets," International Journal of General Systems, 35, 417-433 (2006).
33. Yager, R. R., "On ordered weighted averaging aggregation operators in multicriteria decision making," IEEE Transactions on Systems, Man, and Cybernetics, 18, 183-190 (1988).
34. Yager, R. R. and D. P. Filev, "Induced ordered weighted averaging operators," IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics, 29, 141-150 (1999).
35. Yager, R. R., J. Kacprzyk and G. Beliakov, Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice, Springer-Verlag, Berlin (2011).
36. Zadeh, L.A., "Fuzzy sets," Information and Control, 8, 338-353 (1965).
37. Zeng, S. Z. and W. H. Su, "Intuitionistic fuzzy ordered weighted distance operator," Knowledge-Based Systems, 24, 1224-1232 (2011).
38. Zhao, H., Z. S. Xu, M. F. Ni and S. S. Liu, "Generalized aggregation operators for intuitionistic fuzzy sets," International Journal of Intelligent Systems, 25, 1-30 (2010).