A Hybrid Multi-attribute Group Decision Making Method Based on Grey Linguistic 2-tuple

[1] G. Bordogna, M. Fedrizzi and G. Pasi, A linguistic modeling of consensus in group decision
making based on OWA operators, IEEE Transactions on Systems, Man and Cybernetics, Part
A: Systems and Humans, 27 (1997), 126-132.
[2] R. Degani and G. Bortolan, The problem of linguistic approximation in clinical decision
making, International Journal of Approximate Reasoning, 2 (1988), 143-162.
[3] M. Delgado, J. L. Verdegay and M. A. Vila, On aggregation operators of linguistic labels,
International Journal of Intelligent Systems, 8 (1993), 351-370.
[4] J. L. Deng, Grey system theory, Huazhong University of Science & Technology Press, Wuhan,
2002.
[5] Y. C. Dong, Y. F. Xu, H. Y. Li and B. Feng, The OWA-based consensus operator under
linguistic representation models using position indexes, European Journal of Operational
Research, 203 (2010), 455-463.
[6] H. Doukas, A. Tsiousi, V. Marinakis and J. Psarras, Linguistic multi-criteria decision making
for energy and environmental corporate policy, Information Sciences, 258 (2014), 328-338.
[7] F. J. Estrella, M. Espinilla, F. Herrera and L. Martnez, FLINTSTONES: A fuzzy linguis-
tic decision tools enhancement suite based on the 2-tuple linguistic model and extensions,
Information Sciences, 280 (2014), 152-170.
[8] Y. B. Gong, N. Hu, J. G. Zhang, G. F. Liu and J. G. Deng, Multi-attribute group decision
making method based on geometric Bonferroni mean operator of trapezoidal interval type-2
fuzzy numbers, Computers & Industrial Engineering, 81 (2015), 167-176.
[9] Y. D. He, H. Y. Chen, Z. He and L. G. Zhou, Multi-attribute decision making based on neutral
averaging operators for intuitionistic fuzzy information, Applied Soft Computing, 27 (2015),
64-76.
[10] F. Herrera and E. Herrera-Viedma, Aggregation operators for linguistic weighted information,
IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 27
(1997), 646-656.
[11] F. Herrera and L. Martnez, A 2-tuple fuzzy linguistic representation model for computing
with words, IEEE Transactions on Fuzzy Systems, 8(6) (2000), 746-752.
[12] F. Herrera and L. Martnez, A model based on linguistic 2-Tuples for dealing with multigran-
ular hierarchical linguistic contexts in multi-expert decision-making, IEEE Transactions on
Systems, Man, and Cybernetics-Part B: Cybernetics, 31(2) (2001), 227-234.
[13] F. Herrera, L. Martnez and P. J. Sanchez, Managing non-homogeneous information in group
decision-making, European Journal of Operational Research, 166(1) (2005), 115-132.
[14] C. W. Hsu, T. C. Kuo, S. H. Chen and A. H. Hu, Using DEMATEL to develop a carbon man-
agement model of supplier selection in green supply chain management, Journal of Cleaner
Production, 56 (2013), 164-172.
[15] Y. B. Ju and A. H. Wang, Extension of VIKOR method for multi-criteria group decision
making problem with linguistic information, Applied Mathematical Modelling, 37 (2013),
3112-3125.

[16] Y. B. Ju, A. H. Wang and X. Y. Liu, Evaluating emergency response capacity by fuzzy
AHP and 2-tuple fuzzy linguistic approach, Expert Systems with Applications, 39 (2012),
6972-6981.
[17] A. Kumar, V. Jain and S. Kumar, A comprehensive environment friendly approach for sup-
plier selection, Omega, 42 (2014), 109-123.
[18] J. B. Lan, Q. Sun, Q. M. Chen and Z. X. Wang, Group decision making based on induced
uncertain linguistic OWA operators, Decision Support Systems, 55 (2013), 296-303.
[19] J. Lin, Q. Zhang and F. Y. Meng, An approach for facility location selection based on optimal
aggregation operator, Knowledge-Based Systems, 85 (2015), 143-158.
[20] B. S. Liu, Y. H. Shen, X. H. Chen, Y. Chen and X. Q. Wang, A partial binary tree DEA-
DA cyclic classication model for decision makers in complex multi-attribute large-group
interval-valued intuitionistic fuzzy decision-making problems, Information Fusion, 18 (2014),
119-130.
[21] H. C. Liu, J. X. You, C. Lu and M. M. Shan, Application of interval 2-tuple linguistic
MULTIMOORA method for health-care waste treatment technology evaluation and selection,
Waste Management, 34 (2014), 2355-2364.
[22] S. Liu, F. T. S. Chan and W. X. Ran, Multi-attribute group decision-making with multi-
granularity linguistic assessment information: An improved approach based on deviation
and TOPSIS, Applied Mathematical Modelling, 37 (2013), 10129-10140.
[23] P. D. Liu and F. Jin, A multi-attribute group decision-making method based on weighted
geometric aggregation operators of interval-valued trapezoidal fuzzy numbers, Applied Mathematical
Modelling, 36 (2012), 2498-2509.
[24] 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.
[25] L. Martnez and F. Herrera, An overview on the 2-tuple linguistic model for computing with
words in decision making: Extensions, applications and challenges, Information Sciences,
207 (2012), 1-18.
[26] F. Y. Meng, X. H. Chen and Q. Zhang, Some interval-valued intuitionistic uncertain linguistic
Choquet operators and their application to multi-attribute group decision making, Applied
Mathematical Modelling, 38 (2014), 2543-2557.
[27] J. M. Merigo, M. Casanovas and L. Martnez, Linguistic aggregation operators for linguistic
decision making based on the Dempster-Shafer theory of evidence, International Journal of
Uncertainty, Fuzziness and Knowledge-Based Systems, 18(3) (2010), 287-304.
[28] J. M. Merigo and A. M. Gil-Lafuente, Induced 2-tuple linguistic generalized aggregation op-
erators and their application in decision-making, Information Sciences, 236 (2013), 1-16.
[29] J. H. Park, J. M. Park and Y. C. Kwun, 2-Tuple linguistic harmonic operators and their
applications in group decision making, Knowledge-Based Systems, 44 (2013), 10-19.
[30] J. I. Pelaez and J. M. Do~na, LAMA: a linguistic aggregation of majority additive operator,
International Journal of Intelligent Systems, 18 (2003), 809-820.
[31] B. Peng, C. M. Ye and S. Z. Zeng, Uncertain pure linguistic hybrid harmonic averaging oper-
ator and generalized interval aggregation operator based approach to group decision making,
Knowledge-Based Systems, 36 (2012), 175-181.
[32] C. J. Rao, M. Goh, Y. Zhao, J. J. Zheng, Location selection of city logistics centers under
sustainability, Transportation Research Part D: Transport and Environment,36(2015),29-44.
[33] C. J. Rao and J. Peng, Fuzzy group decision making model based on credibility theory and
gray relative degree, International Journal of Information Technology & Decision Making,
8(3) (2009), 515-527.
[34] C. J. Rao and J. Peng, Group decision making model based on grey relational analysis, The
Journal of Grey System, 21(1) (2009), 15-24.
[35] C. J. Rao and Y. Zhao, Multi-attribute auction method based on grey relational degree of
hybrid sequences, The Journal of Grey System, 21(2) (2009), 175-184.
[36] C. J. Rao and Y. Zhao, Multi-attribute decision making model based on optimal membership
and relative entropy, Journal of Systems Engineering and Electronics, 20(3) (2009), 537-542.

[37] Z. F. Tao, H. Y. Chen, X. Song, L. G. Zhou and J. P. Liu, Uncertain linguistic fuzzy soft
sets and their applications in group decision making, Applied Soft Computing, 34 (2015),
587-605.
[38] I. Truck, Comparison and links between two 2-tuple linguistic models for decision making,
Knowledge-Based Systems, (2015), In Press.
[39] S. P. Wan, Power average operators of trapezoidal intuitionistic fuzzy numbers and applica-
tion to multi-attribute group decision making, Applied Mathematical Modelling, 37 (2013),
4112-4126.
[40] S. P. Wan, 2-Tuple linguistic hybrid arithmetic aggregation operators and application to
multi-attribute group decision making, Knowledge-Based Systems, 45 (2013), 31-40.
[41] S. P. Wan, Q. Y. Wang and J. Y. Dong, The extended VIKOR method for multi-attribute
group decision making with triangular intuitionistic fuzzy numbers, Knowledge-Based Systems,
52 (2013), 65-77.
[42] S. P. Wan and J. Y. Dong, Interval-valued intuitionistic fuzzy mathematical programming
method for hybrid multi-criteria group decision making with interval-valued intuitionistic
fuzzy truth degrees, Information Fusion, 26 (2015), 49-65.
[43] S. P. Wan and J. Y. Dong, Power geometric operators of trapezoidal intuitionistic fuzzy
numbers and application to multi-attribute group decision making, Applied Soft Computing,
29 (2015), 153-168.
[44] S. Y. Wang, Applying 2-tuple multigranularity linguistic variables to determine the supply
performance in dynamic environment based on product-oriented strategy, IEEE Transactions
on Fuzzy Systems, 16 (2008), 29-39.
[45] J. H.Wang and J. Y. Hao, An approach to aggregation of ordinal information in multi-criteria
multi-person decision making using Choquet integral of Fubini type, Fuzzy Optimization and
Decision Making, 8 (2009), 365-380.
[46] J. Q. Wang, J. Wang, Q. H. Chen, H. Y. Zhang and X. H. Chen, An outranking approach for
multi-criteria decision-making with hesitant fuzzy linguistic term sets, Information Sciences,
280 (2014), 338-351.
[47] J. Q. Wang, P. Lu, H. Y. Zhang and X. H. Chen, Method of multi-criteria group decision-
making based on cloud aggregation operators with linguistic information, Information Sciences,
274 (2014), 177-191.
[48] W. Z. Wang and X. W. Liu, The multi-attribute decision making method based on interval-
valued intuitionistic fuzzy Einstein hybrid weighted geometric operator, Computers and Mathematics
with Applications, 66 (2013), 1845-1856.
[49] G. W. Wei, Uncertain linguistic hybrid geometric mean operator and its application to group
decision making under uncertain linguistic environment, International Journal of Uncertainty,
Fuzziness and Knowledge-Based Systems, 17 (2009), 251-267.
[50] G. W. Wei, A method for multiple attribute group decision making based on the ET-WG and
ET-OWG operators with 2-tuple linguistic information, Expert Systems with Applications,
37 (2010), 7895-7900.
[51] G. W. Wei, Grey relational analysis model for dynamic hybrid multiple attribute decision
making, Knowledge-Based Systems, 24 (2011), 672-679.
[52] G. W. Wei, Grey relational analysis method for 2-tuple linguistic multiple attribute group
decision making with incomplete weight information, Expert Systems with Applications, 38
(2011), 4824-4828.
[53] G. W. Wei, Hesitant fuzzy prioritized operators and their application to multiple attribute
decision making, Knowledge-Based Systems, 31 (2012), 176-182.
[54] G. W. Wei and X. F. Zhao, Some dependent aggregation operators with 2-tuple linguistic in-
formation and their application to multiple attribute group decision making, Expert Systems
with Applications, 39 (2012), 5881-5886.
[55] J. Wu and Y. J. Liu, An approach for multiple attribute group decision making problems with
interval-valued intuitionistic trapezoidal fuzzy numbers, Computers & Industrial Engineering,
66 (2013), 311-324.
[56] X. P. Xiao and S. H. Mao, Grey forecast and decision method, Science Press, Beijing, 2013.

[57] Z. S. Xu, EOWA and EOWG operators for aggregating linguistic labels based on linguistic
preference relations, International Journal of Uncertainty, Fuzziness and Knowledge-Based
Systems, 12 (2004), 791-810.
[58] Z. S. Xu, Induced uncertain linguistic OWA operators applied to group decision making,
Information Fusion, 7 (2006), 231-238.
[59] Z. S. Xu, An approach based on the uncertain LOWG and the induced uncertain LOWG op-
erators to group decision making with uncertain multiplicative linguistic preference relations,
Decision Support Systems, 41 (2006), 488-499.
[60] Z. S. Xu and R. R. Yager, Power-geometric operators and their use in group decision making,
IEEE Transactions on Fuzzy Systems, 18(1) (2010), 94-105.
[61] Z. S. Xu and X. L. Zhang, Hesitant fuzzy multi-attribute decision making based on TOPSIS
with incomplete weight information, Knowledge-Based Systems, 52 (2013), 53-64.
[62] Y. J. Xu, F. Ma, F. F. Tao and H. M. Wang, Some methods to deal with unacceptable
incomplete 2-tuple fuzzy linguistic preference relations in group decision making, Knowledge-
Based Systems, 56 (2014), 179-190.
[63] Y. J. Xu, J. M. Merigo 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.
[64] Y. J. Xu, P. Shi, J. M. Merig0 and H. M. Wang, Some proportional 2-tuple geometric ag-
gregation operators for linguistic decision making, Journal of Intelligent & Fuzzy Systems,
25(3) (2013), 833-843.
[65] W. Yang and Z. P. Chen, New aggregation operators based on the Choquet integral and 2-tuple
linguistic information, Expert Systems with Applications, 39 (2012), 2662-2668.
[66] F. Ye and Y. Li, An extended TOPSIS model based on the Possibility theory under fuzzy
environment, Knowledge-Based Systems, 67 (2014), 263-269.
[67] X. Y. You, J. X. You, H. C. Liu and L. Zhen, Group multi-criteria supplier selection using an
extended VIKOR method with interval 2-tuple linguistic information, Expert Systems with
Applications, 42 (2015), 1906-1916.
[68] H. M. Zhang, Some interval-valued 2-tuple linguistic aggregation operators and application
in multi-attribute group decision making, Applied Mathematical Modelling, 37 (2013), 4269-
4282.
[69] L. G. Zhou and H. Y. Chen, The induced linguistic continuous ordered weighted geometric
operator and its application to group decision making, Computers & Industrial Engineering,
66 (2013), 222-232.