In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with dual hesitant fuzzy uncertain linguistic information. Then, motivated by the ideal of traditional arithmetic and geometric operation, we have developed some aggregation operators for aggregating dual hesitant fuzzy uncertain linguistic information: dual hesitant fuzzy uncertain linguistic weighted average (DHFULWA) operator, dual hesitant fuzzy uncertain linguistic weighted geometric (DHFULWG) operator, dual hesitant fuzzy uncertain linguistic ordered weighted average(DHFULOWA) operator, dual hesitant fuzzy uncertain linguistic ordered weighted geometric (DHFULOWG) operator, dual hesitant fuzzy uncertain linguistic hybrid average (DHFULHA) operator and dual hesitant fuzzy uncertain linguistic hybrid geometric (DHFULHG) operator. Then, we have utilized these operators to develop some approaches to solve the dual hesitant fuzzy uncertain linguistic multiple attribute decision making problems. Finally, a practical example for potential evaluation of emerging technology commercialization is given to verify the developed approach and to demonstrate its practicality and effectiveness.
AtanassovK., Intuitionistic fuzzy sets, Fuzzy Sets and Systems20 (1986), 87-96.
2.
AtanassovK., More on intuitionistic fuzzy sets, Fuzzy Sets and Systems33 (1989), 37-46.
3.
AtanassovK., Two theorems for intuitionistic fuzzy sets, Fuzzy Sets and Systems110 (2000), 267-269.
4.
ZadehL.A., Fuzzy sets, Information and Control8 (1965), 338-356.
5.
TorraV. and NarukawaY., On hesitant fuzzy sets and decision, in: The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, (2009), 1378-1382.
6.
TorraV., Hesitant fuzzy sets, International Journal of Intelligent Systems25 (2010), 529-539.
7.
XiaM. and XuZ.S., Hesitant fuzzy information aggregation in decision making, International Journal of Approximate Reasoning52(3) (2011), 395-407.
8.
XuZ.S., XiaM. and ChenN., Some hesitant fuzzy aggregation operators with their application in group decision making, Group Decision and Negotiation, in press.
9.
WeiG., ZhaoX., WangH. and LinR., Hesitant fuzzy choquet integral aggregation operators and their applications to multiple attribute decision making, Information: An International Interdisciplinary Journal15(2) (2012), 441-448.
10.
WeiG.W., Hesitant fuzzy prioritized operators and their application to multiple attribute group decision making, Knowledge-Based Systems31 (2012), 176-182.
11.
FarhadiniaB., A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems, Int J Intell Syst28(8) (2013), 752-767.
12.
LiaoH. and XuZ., A VIKOR-based method for hesitant fuzzy multi-criteria decision making, FO and DM12(4) (2013), 373-392.
13.
FarhadiniaB., Distance and similarity measures for higher order hesitant fuzzy sets, Knowl-Based Syst55 (2014), 43-48.
14.
LiX. and WeiG., GRA method for multiple criteria group decision making with incomplete weight information under hesitant fuzzy setting, Journal of Intelligent and Fuzzy Systems27(3) (2014), 1095-1105.
15.
ZhangZ., WangC., TianD. and LiK., Induced generalized hesitant fuzzy operators and their application to multiple attribute group decision making, Computers and Industrial Engineering67 (2014), 116-138.
16.
HeY., HeZ., WangG. and ChenH., Hesitant fuzzy power bonferroni means and their application to multiple attribute decision making, IEEE Trans Fuzzy Systems23(5) (2015), 1655-1668.
17.
LiaoH., XuZ. and ZengX.-J., Novel correlation coefficients between hesitant fuzzy sets and their application in decision making, Knowl-Based Syst82 (2015), 115-127.
18.
ZhuB., XuZ. and XiaM., Dual hesitant fuzzy sets, Journal of Applied Mathematics2012 (2012), 13. Article ID 879629. http://wwwhindawi.com/journals/jam/2012/879629/.
19.
WangH.J., ZhaoX.F. and WeiG.W., Dual hesitant fuzzy aggregation operators in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems (2013), in press.
20.
WangL., ShenQ. and ZhuL., Dual hesitant fuzzy power aggregation operators based on archimedean t-conorm and t-norm and their application to multiple attribute group decision making, Appl Soft Comput38 (2016), 23-50.
21.
ZhangH., HeY. and XiongL., Multi-granulation dual hesitant fuzzy rough sets, Journal of Intelligent and Fuzzy Systems30(2) (2016), 623-637.
22.
YuD., Archimedean aggregation operators based on dual hesitant fuzzy set and their application to GDM, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems23(5) (2015), 761-780.
23.
SuZ., XuZ., LiuH. and LiuS., Distance and similarity measures for dual hesitant fuzzy sets and their applications in pattern recognition, Journal of Intelligent and Fuzzy Systems29(2) (2015), 731-745.
24.
FarhadiniaB., Study on division and subtraction operations for hesitant fuzzy sets, interval-valued hesitant fuzzy sets and typical dual hesitant fuzzy sets, Journal of Intelligent and Fuzzy Systems28(3) (2015), 1393-1402.
25.
YuD. and LiD.-F., Dual hesitant fuzzy multi-criteria decision making and its application to teaching quality assessment, Journal of Intelligent and Fuzzy Systems27(4) (2014), 1679-1688.
26.
RodríguezR.M., Martínez-LópezL. and HerreraF., Hesitant fuzzy linguistic term sets for decision making, IEEE Trans Fuzzy Systems20(1) (2012), 109-119.
27.
LinR., ZhaoX.F., WangH.J. and WeiG.W., Hesitant fuzzy linguistic aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 27 (2014), 49-63.
28.
RodríguezR.M., Martínez-LópezL., HerreraF., A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets, Inf Sci241 (2013), 28-42.
29.
BegI. and RashidT., TOPSIS for hesitant fuzzy linguistic term sets, Int J Intell Syst28(12) (2013), 1162-1171.
30.
ZhuB. and XuZ., Consistency measures for hesitant fuzzy linguistic preference relations, IEEE Trans Fuzzy Systems22(1) (2014), 35-45.
31.
WeiC., ZhaoN. and TangX., A novel linguistic group decision-making model based on extended hesitant fuzzy linguistic term sets, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems23(3) (2015), 379-398.
32.
LiaoH., XuZ. and ZengX.-J., Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making, Inf Sci271 (2014), 125-142.
33.
HesamianG. and ShamsM., Measuring similarity and ordering based on hesitant fuzzy linguistic term sets, Journal of Intelligent and Fuzzy Systems28(2) (2015), 983-990.
34.
YuS.-M., ZhouH., ChenX. and WangJ.-Q., A multi-criteria decision-making method based on heronian mean operators under a linguistic hesitant fuzzy environment, APJOR32(5) (2015).
35.
LiQ., ZhaoX. and WeiG., Model for software quality evaluation with hesitant fuzzy uncertain linguistic information, Journal of Intelligent and Fuzzy Systems26(6) (2014), 2639-2647.
36.
ZhangZ. and WuC., Hesitant fuzzy linguistic aggregation operators and their applications to multiple attribute group decision making, Journal of Intelligent and Fuzzy Systems26(5) (2014), 2185-2202.
37.
LinR., ZhaoX. and WeiG., Models for selecting an ERP system with hesitant fuzzy linguistic information, Journal of Intelligent and Fuzzy Systems26(5) (2014), 2155-2165.
38.
HerreraF. and Herrera-ViedmaE., Linguistic decision analysis: Steps for solving decision problems under linguistic information, Fuzzy Sets and Systems115 (2000). 67-82.
39.
HerreraF. and MartínezL., A 2-tuple fuzzy linguistic representation model for computing with words, IEEE Transactions on Fuzzy Systems8 (2000), 746-752.
40.
Herrera-ViedmaE., MartinezL., MataF. and ChiclanaF., A consensus support system model for group decision-making problems with multigranular linguistic preference relations, IEEE Transactions on Fuzzy Systems13 (2005), 644-658.
41.
XuZ.S., A note on linguistic hybrid arithmetic averaging operator in multiple attribute group decision making with linguistic information, Group Decision and Negotiation15(6) (2006), 593-604.
42.
XuZ.S., A method based on linguistic aggregation operators for group decision making with linguistic preference relations, Information Sciences166(1) (2004), 19-30.
43.
XuZ.S., Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment, Information Science168 (2004), 171-184.
44.
XuZ.S., Induced uncertain linguistic OWA operators applied to group decision making, Information Fusion7 (2006), 231-238.
45.
XuZ.S., An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations, Decision Support Systems41 (2006). 488-499.
46.
WeiG.W., 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 Systems17(2) (2009), 251-267.
47.
WeiG.W., ZhaoX.F., LinR. and WangH.J., Uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making, Applied Mathematical Modelling37(7) (2013), 5277-5285.
48.
ZhouL., LinR., ZhaoX. and WeiG., Uncertain linguistic prioritized aggregation operators and their application to multiple attribute group decision making, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems21(4) (2013), 603-627.
49.
MerigóJ.M., Gil-LafuenteA.M., ZhouL.G. and ChenH.Y., Induced and linguistic generalized aggregation operators and their application in linguistic group decision making, Group Decision and Negotiation21(4) (2012), 531-549.
50.
MerigóJ.M., A unified model between the weighted average and the induced OWA operator, Expert Systems with Applications38(9) (2011), 11560-11572.
51.
MerigóJ.M. and Gil-LafuenteA.M., Decision making techniques in business and economics based on the OWA operator, SORT-Statistics and Operations Research Transactions36(1) (2012), 81-102.
52.
WeiG.W., WangJ.M. and ChenJ., Potential optimality and robust optimality in multiattribute decision analysis with incomplete information: A comparative study, Decision Support Systems55(3) (2013), 679-684.
53.
TorraV., The weighted OWA operator, International Journal of Intelligent Systems12 (1997), 153-166.
54.
RanL.-G. and WeiG., Uncertain prioritized operators and their application to multiple attribute group decision making, Technological and Economic Development of Economy21(1) (2015). 118-139.
55.
XuZ.S., Dynamic intuitionistic fuzzy multi-attribute decision making, International Journal of Approximate Reasoning48(1) (2008), 246-262.
56.
YagerR.R., Prioritized aggregation operators, International Journal of Approximate Reasoning48 (2008), 263-274.
57.
YagerR.R., The power average operator, IEEE Transactions on Systems, Man, and Cybernetics-Part A31(6) (2001). 724-731.
58.
MengF. and ChenX., An approach to uncertain linguistic multi-attribute group decision making based on interactive index, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems23(3) (2015), 319-344.
59.
RieraJ.V., MassanetS., Herrera-ViedmaE., TorrensJ., Some interesting properties of the fuzzy linguistic model based on discrete fuzzy numbers to manage hesitant fuzzy linguistic information, Appl Soft Comput36 (2015), 383-391.
60.
WuZ. and XuJ., Possibility distribution-based approach for magdm with hesitant fuzzy linguistic information, IEEE Trans Cybernetics46(3) (2016), 694-705.
61.
YeJ., Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment, European Journal of Operational Research205 (2010), 202-204.
62.
YeJ., Multiple attribute group decision-making methods with unknown weights in intuitionistic fuzzy setting and interval-valued intuitionistic fuzzy setting, International Journal of General Systems42(5) (2013), 489-502.
63.
WeiG., Picture fuzzy cross-entropy for multiple attribute decision making problems, Journal of Business Economics and Management17(4) (2016), 491-502.
64.
WeiG., AlsaadiF.E., HayatT. and AlsaediA., Hesitant fuzzy linguistic arithmetic aggregation operators in multiple attribute decision making, Iranian Journal of Fuzzy Systems13(4) (2016), 1-16.
65.
WeiG., Approaches to interval intuitionistic trapezoidal fuzzy multiple attribute decision making with incomplete weight information, International Journal of Fuzzy Systems17(3) (2015), 484-489.
66.
LinR., WeiG.W., WangH.J. and ZhaoX.F., Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making, Journal of Business Economics and Management15(5) (2014), 795-809.
67.
WeiG. and AlsaadiF.E., Tasawar Hayat, Ahmed Alsaedi, Hesitant Fuzzy Linguistic Arithmetic Aggregation Operators in Multiple Attribute Decision Making, Iranian Journal of Fuzzy Systems13(4) (2016), 1-16.
