Intuitionistic uncertain linguistic powered Einstein aggregation operators and their application to multi-attribute group decision making

Journal of Applied Analysis and Computation

Volumn 5, Issue 4, 2015, Pages 534-561

  Liu, Peide ^a   Shi, Lanlan ^a  

^a SHANDONG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

Intuitionistic uncertain linguistic fuzzy Einstein weighted geometric (IULFPEWG) operator; Intuitionistic uncertain linguistic fuzzy powered Einstein weighted (IULFPEWA) operator; Intuitionistic uncertain linguistic number; Multi attribute Group Decision making; Power aggregation (PA) operator

Indexed keywords

EID: 84933496938     PISSN: 2156907X     EISSN: 21585644     Source Type: Journal    
DOI: 10.11948/2015042     Document Type: Article

References (34)

1. [1] K.T. Atanassov, Intuitionistic fuzzy sets, fuzzy sets and systems, 20(1986), 87-96.
2. [2] K.T. Atanassov, Operators over interval-valued intuitionistic fuzzy sets, fuzzy sets and systems, 64(1994), 159-174.
3. [3] K.T. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 3(1989), 343-349.
4. [4] G. Deschrijver and E.E. Kerre, A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms, Notes on intuitionistic fuzzy sets, 8(2002), 19-27.
5. [5] F. Herrera and E. Herrera Viedma, Linguistic decision analysis: Steps for Solving decision problems under linguistic information, Fuzzy Sets and Systems, 115(2000), 67-82.
6. [6] F. Herrera, E. Herrera Viedma and J.L. Verdegay, A model of consensus in group decision making under linguistic assessments, Fuzzy Sets and Systems, 79(1996), 73-87.
7. [7] S. Guo, F.F. Jin and H.Y. Chen, Hesitant fuzzy einstein gometric operator and its application, Computer Engineering and Application, 10(2013), 1-7. (in Chinese)
8. [8] E.P. Klement, R. Mesiar and E. Pap, Triangular norms. position paper I: basic analytical and algebraic properties, Fuzzy Sets and Systems, 143(2004), 5-26.
9. [9] P.D. Liu and F. Jin, Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making, Information Sciences, 205(2012), 58-71.
10. [10] P.D. Liu and X.F. Qi, Some generalized dependent aggregation operators with 2-dimension linguistic information and their application to group decision making, Journal of Intelligent & Fuzzy Systems, 27(2014), 1761-1773.
11. [11] P.D. Liu and Y. Liu, An approach to multiple attribute group decision making based on intuitionistic trapezoidal fuzzy power generalized aggregation operator, International Journal of Computational Intelligence Systems, 7(2014), 291-304.
12. [12] P.D. Liu and L.L. Shi, The generalized hybrid weighted average operator based on interval neutrosophic hesitant set and its application to multiple attribute decision making, Neural Computing and Applications, 26(2015), 457-471
13. [13] P. D. Liu and Y.M. Wang, Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators, Applied Soft Computing, 17(2014), 90-104.
14. [14] P.D. Liu and Y.M. Wang, Multiple attribute decision making method based on single valued neutrosophic normalized weighted bonferroni mean, Neural Computing and Applications, 25(2014), 2001-2010.
15. [15] P.D. Liu and X.C. Yu, 2-dimension uncertain linguistic power generalized weighted aggregation operator and its application for multiple attribute group decision making, Knowledge-based systems, 57(1)(2014), 69-80.
16. [16] J.M. Merigó and A.M. Gil-Lafuente, Induced 2-tuple linguistic generalized aggregation operators and their application in decision-making, Information Sciences, 236(2013), 1-16.
17. [17] S.P. Wan and J.Y. Dong, Method of intuitionistic trapezoidal fuzzy number for multi-attribute group decision, Control and Decision, 25(2010), 773-776.
18. [18] J.Q. Wang, Overview on fuzzy multi-criteria decision-making approach, Control and Decision, 23(2008), 601-606.
19. [19] J.Q. Wang and J.J. Li, The multi-criteria group decision making method based on multi-granularity intuitionistic two semantics, Science and Technology Information, 33(2009), 8-9.(in Chinese)
20. [20] J.Q. Wang and Z.H. Zhang, Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems, Journal of Systems Engineering and Electronics, 20(2009), 321-326.
21. [21] W. Wang and X. Liu, Intuitionistic fuzzy information aggregation using Einstein operations, IEEE Transactions on Fuzzy Systems, 20(2012), 923-938.
22. [22] W.Z. Wang and X.W. Liu, Intuitionistic fuzzy geometric aggregation operators based on Einstein operations, International Journal of Intelligent Systems,26(2011), 1049-1075.
23. [23] G. W. Wei and X.F. Zhao, Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making, Expert Systems with Applications, 39(2)(2012), 2026-2034.
24. [24] Y.J. Xu, J.M. Merigó and H.M. Wang, Linguistic power aggregation operators and their application to multiple attribute group decision making, Applied Mathematical Modelling, 36(11)(2012), 5427-5444.
25. [25] Y.J. Xu and H.M. Wang, Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment, Applied Soft Computing, 11(2011), 3988-3997.
26. [26] Z.S. Xu, Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment, Information Science, 168(2004), 171-184.
27. [27] Z.S. Xu, Induced uncertain linguistic OWA operators applied to group decision making, Information Fusion, 7(2006), 231-238.
28. [28] Z.S. Xu and X.Q. Cai, Uncertain power average operators for aggregating interval fuzzy preference relations, Group Decision Negotiation, 21(3)(2012), 381-397.
29. [29] Z.S. Xu and R. Yager, Power-geometric operators and their use in group decision making, IEEE Trans. Fuzzy Syst., 18(1)(2010), 94-105.
30. [30] R. Yager, The power average operator, IEEE Trans. Syst. Man Cybern., 31(6)(2001), 724-731.
31. [31] L.A. Zadeh, The concept of a linguistic variable and its applications to approximate reasoning, Information Sciences, 8(1975), 199-249; 301-357; 9(1975), 43-80.
32. [32] X. Zhang and P.D. Liu, Method for aggregating triangular intuitionistic fuzzy information and its application to decision making, Technological and Economic Development of Economy, 16(2010), 280-290.
33. [33] L. Zhou and H. Chen, A generalization of the power aggregation operators for linguistic environment and its application in group decision making, Knowledge Based Systems, 26(2012), 216-224.
34. [34] L. Zhou, H. Chen and J. Liu, Generalized power aggregation operators and their applications in group decision making, Comput. Indust. Eng., 62(2012), 989-999.