Interval-Valued Dual Hesitant Fuzzy Hamacher Aggregation Operators for Multiple Attribute Decision Making

References

[1] Venkata R. Decision making in the manufacturing environment, using graph theory and fuzzy multiple attribute decision making methods. Springer-Verlag, London, 2007.Search in Google Scholar

[2] Hosseinzade Z, Pagsuyoin S A, Ponnambalam K, et al. Decision-making in irrigation networks: Selecting appropriate canal structures using multi-attribute decision analysis. Science of the Total Environment, 2017, 601–602: 177–185.10.1016/j.scitotenv.2017.05.189Search in Google Scholar

[3] Arasteh M A, Shamshirband S, Yee P L. Using multi-attribute decision-making approaches in the selection of a hospital management system. Technology and Health Care, 2017, preprint: 1–17.Search in Google Scholar

[4] Bellman R, Zadeh L A. Decision-making in a fuzzy environment. Management Science, 1970, 17(4): B141–B164.10.1287/mnsc.17.4.B141Search in Google Scholar

[5] Zadeh L A. Fuzzy sets. Information and Control, 1965, 8: 338–353.10.1016/S0019-9958(65)90241-XSearch in Google Scholar

[6] Zadeh L A. The concept of a linguistic variable and its application to approximate reasoning. Part I, II, III. Information Sciences, 1975, 8: 199–249.10.1007/978-1-4684-2106-4_1Search in Google Scholar

[7] Dubois D, Prade H. Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York, NY, USA, 1980.Search in Google Scholar

[8] Atanassov K T. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1986, 20(1): 87–96.10.1016/S0165-0114(86)80034-3Search in Google Scholar

[9] Atanassov K T, Gargov G. Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1989, 31(3): 343–349.10.1016/0165-0114(89)90205-4Search in Google Scholar

[10] Xu Z S. A method based on linguistic aggregation operators for group decision making with linguistic perference relations. Information Sciences, 2004, 166(1–4): 19–30.10.1016/j.ins.2003.10.006Search in Google Scholar

[11] Torra V, Narukawa Y. On hesitant fuzzy sets and decision. The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, 2009, 1378–1382.10.1109/FUZZY.2009.5276884Search in Google Scholar

[12] Torra V. Hesitant fuzzy sets. International Journal of Intelligent Systems, 2010, 25(6): 529–539.10.1002/int.20418Search in Google Scholar

[13] Zhu B, Xu Z S, Xia M M. Dual hesitant fuzzy sets. Journal of Applied Mathematics, 2012, Article ID 879629, 13 pages.10.1155/2012/879629Search in Google Scholar

[14] Su Z, Xu Z S, Liu H F, et al. Distance and similarity measures for dual hesitant fuzzy sets and their applications in pattern recognition. Journal of Intelligent and Fuzzy Systems, 2015, 29: 731–745.10.3233/IFS-141474Search in Google Scholar

[15] Singh P. Distance and similarity measures for multiple-attribute decision making with dual hesitant fuzzy sets. Computational and Applied Mathematics, 2017, 36(1): 111–126.10.1007/s40314-015-0219-2Search in Google Scholar

[16] Chen J J, Huang X J, Tang J. Distance measures for higher order dual hesitant fuzzy sets. Computational and Applied Mathematics, 2018, 37(2): 1784–1806.10.1007/s40314-017-0423-3Search in Google Scholar

[17] Wang H J, Zhao X F, Wei G W. Dual hesitant fuzzy aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 2014, 26(5): 2281–2290.10.3233/IFS-130901Search in Google Scholar

[18] Ju Y B, Yang S H, Liu X Y. Some new dual hesitant fuzzy aggregation operators based on Choquet integral and their applications to multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 2014, 27(6): 2857–2868.10.3233/IFS-141247Search in Google Scholar

[19] Xing J Y, Yu R, Zhang G C. Some new Dual hesitant fuzzy power aggregation operator. 2nd International Workshop on Materials Engineering and Computer Sciences (IWMECS 2015), 2015, 688–694.10.2991/iwmecs-15.2015.137Search in Google Scholar

[20] Ye J. Correlation coefficient of dual hesitant fuzzy sets and its application to multiple attribute decision making. Applied Mathematical Modelling, 2014, 38: 659–666,.10.1016/j.apm.2013.07.010Search in Google Scholar

[21] Chen Y, Peng X, Guan G, et al. Approaches to multiple attribute decision making based on the correlation coefficient with dual hesitant fuzzy information. Journal of Intelligent & Fuzzy Systems, 2014, 26(5): 2547–2556.10.3233/IFS-130926Search in Google Scholar

[22] Tyagi S K. Correlation coefficient of dual hesitant fuzzy sets and its applications. Applied Mathematical Modelling, 2015, 39(22): 7082–7092.10.1016/j.apm.2015.02.046Search in Google Scholar

[23] Pathinathan T, Savarimuthu J. Multi-attribute decision making in a dual hesitant fuzzy set using TOPSIS. International Journal of Engineering Science Invention Research & Development, 2015, II (Issue I): 44–54.Search in Google Scholar

[24] Ren Z, Xu Z, Wang H. Dual hesitant fuzzy VIKOR method for multi-criteria group decision making based on fuzzy measure and new comparison method. Information Sciences, 2017, 388–389: 1–16.10.1016/j.ins.2017.01.024Search in Google Scholar

[25] Zhao N, Xu Z S. Entropy measures for dual hesitant fuzzy information. 2015 Fifth International Conference on Communication Systems and Network Technologies, Gwalior, 2015, 1152–1156.10.1109/CSNT.2015.266Search in Google Scholar

[26] Xu Y, Rui D, Wang H. Dual hesitant fuzzy interaction operators and their application to group decision making. Journal of Industrial and Production Engineering, 2015, 32(4): 273–290.10.1080/21681015.2015.1046509Search in Google Scholar

[27] Xu Y P. Model for evaluating the mechanical product design quality with dual hesitant fuzzy information. Journal of Intelligent and Fuzzy Systems, 2016, 30: 1–6.10.3233/IFS-141426Search in Google Scholar

[28] Ju Y B, Liu X Y, Yang S H. Interval-valued dual hesitant fuzzy aggregation operators and their applications to multiple attribute decison making. Journal of Intelligent & Fuzzy Systems, 2014, 27: 1203–1218.10.3233/IFS-131085Search in Google Scholar

[29] Qu G H, Qu W H, Li C H. Some new interval-valued dual hesitant fuzzy Choquet integral aggregation operators and their applications. Journal of Intelligent & Fuzzy Systems, 2018, 34(1): 245–266.10.3233/JIFS-171162Search in Google Scholar

[30] Qua G, Zhou H, Qu W, et al. Shapley interval-valued dual hesitant fuzzy Choquet integral aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 2018, 34(3): 1827–1845.10.3233/JIFS-171090Search in Google Scholar

[31] Zang Y, Zhao X, Li S. Interval-valued dual hesitant fuzzy Heronian mean aggregation operators and their applications to multi-attribute decison making. International Journal of Computational Intelligence and Applications, 2018, 17(1): 1–26.10.1142/S1469026818500050Search in Google Scholar

[32] Zhang W K, Li X, Ju Y B, Some aggregation operators based on Einstein operations under interval-valued dual hesitant fuzzy setting and their application. Mathematical Problems in Engineering, 2014, Artical ID: 958927, 12 pages.10.1155/2014/958927Search in Google Scholar

[33] Hamacher H. Uber logische verknunpfungrnn unssharfer Aussagen undderen Zugenhorige Bewertungsfunktione. in: Trappl, Klir, Riccardi (Eds.), Progress in Cybernatics and Systems Research, Hemisphere, Washington DC, 1978, 3: 276–288.Search in Google Scholar

[34] Xia M M, Xu Z S, Zhu B. Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm. Knowledge-Based Systems, 2012, 31: 78–88.10.1016/j.knosys.2012.02.004Search in Google Scholar

[35] Xu Z S. On consistency of the weighted geometric mean complex judgement marix in AHP. European Journal of Operational Research, 2000, 126: 683–687.10.1016/S0377-2217(99)00082-XSearch in Google Scholar

[36] Beliakov G, Pradera A, Calov T. Aggregation functions: A guide for practitioners. Springer, Heidelberg, Berlin, New York, 2007.Search in Google Scholar

[37] Yager R R. On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Fuzzy Systems, 2004, 12: 45–61.Search in Google Scholar

[38] Xu Z S, Da Q L. The ordered weighted geometic averaging operators. International Journal of Intelligent Systems, 2002, 17: 709–716.10.1002/int.10045Search in Google Scholar

[39] Xu Z S. Uncertain Multiple Attribute Decision Making: Meathods and Application. Tsinghua University Press, Beijing, China, 2004.Search in Google Scholar