Distance measures for hesitant intuitionistic fuzzy linguistic term sets based on a risk factor parameter

References

• Zadeh LA. Fuzzy sets. Inform Control. 1965;8:338–353.
   Web of Science ®Google Scholar
• Zadeh LA. The concept of a linguistic variable and its applications to approximate reasoning-Part I. Inf Sci (NY). 1975;8:199–249.
   Web of Science ®Google Scholar
• Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986;20:87–96.
   Web of Science ®Google Scholar
• Torra V. Hesitant fuzzy sets. Int J Intell Syst. 2010;25:529–539.
   Web of Science ®Google Scholar
• Zhou W, Xu Z, Chen M. Preference relations based on hesitant-intuitionistic fuzzy information and their application in group decision making. Comput Indust Eng. 2015;87:163–175.
   Web of Science ®Google Scholar
• Rodríguez RM, Martínez L, Herrera F. A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term set. Inf Sci (NY). 2013;241:28–42.
   Web of Science ®Google Scholar
• Beg I, Rashid T. TOPSIS for hesitant fuzzy linguistic term sets. Int J Intell Syst. 2013;28:1162–1171.
   Web of Science ®Google Scholar
• Liao H, Xu Z. Extended hesitant fuzzy hybrid weighted aggregation operators and their application in decision making. Soft Comput. 2015;19(9):2551–2564.
   Web of Science ®Google Scholar
• Liao H, Xu Z. Some new hybrid weighted aggregation operators under hesitant fuzzy multi-criteria decision making environment. J Intell Fuzzy Syst. 2014;26(4):1601–1617.
   Web of Science ®Google Scholar
• Liao H, Xu Z. Subtraction and division operations over hesitant fuzzy sets. J Intell Fuzzy Syst. 2014;27(1):65–72.
   Web of Science ®Google Scholar
• Xia M, Xu Z. Hesitant fuzzy information aggregation in decision making. Int J Approx Reason. 2011;52(3):395–407.
   Web of Science ®Google Scholar
• Xu ZS, Xia MM. Distance and similarity measures for hesitant fuzzy sets. Inf Sci (NY). 2011;181:2128–2138.
   Web of Science ®Google Scholar
• Faizi S, Rashid T, Salabun WJ, et al. Decision making with uncertainty using hesitant fuzzy sets. Int J Fuzzy Syst. 2018;20(1):93–103.
   Web of Science ®Google Scholar
• Zhu B, Xu Z, Xia M. Dual hesitant fuzzy sets. J Appl Math. 2012. Article ID 879629.
   Google Scholar
• Hao Z, Xu Z, Zhao H, et al. Novel intuitionistic fuzzy decision making models in the framework of decision field theory. Inform Fusion. 2017;33:57–70.
   Web of Science ®Google Scholar
• Yu D-J, Li D-F. Dual hesitant fuzzy multi-criteria decision making and its application to teaching quality assessment. J Intell Fuzzy Syst. 2014;27:1679–1688.
   Web of Science ®Google Scholar
• Mendel JM. An architecture for making judgment using computing with words. Int J Appl Math Comput Sci. 2002;12(3):325–335.
   Google Scholar
• Martínez L, Ruan D, Herrera F. Computing with words in decision support systems: an overview on models and applications. Int J Comput Intell Syst. 2010;3(4):382–395.
   Web of Science ®Google Scholar
• Rodríguez RM, Martínez L. An analysis of symbolic linguistic computing models in decision making. Int J Gen Syst. 2013;42(1):121–136.
   Web of Science ®Google Scholar
• Rodríguez RM, Martínez L, Herrera F. Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst. 2012;20:109–119.
   Web of Science ®Google Scholar
• Liu HB, Rodríguez RM. A Fuzzy envelope of hesitant fuzzy linguistic term set and its application to multicriteria decision making. Technical Report TR-1-2013, University of Jaén; 2013.
   Google Scholar
• Kuo T. A modified TOPSIS with a different ranking index. Eur J Oper Res. 2017;260(1):152–160.
   Web of Science ®Google Scholar
• Liao H, Xu Z. Approaches to manage hesitant fuzzy linguistic information based on the cosine distance and similarity measures for HFLTSs and their application in qualitative decision making. Expert Syst Appl. 2015;42(12):5328–5336.
   Web of Science ®Google Scholar
• Liao H, Xu Z, Zeng XJ, et al. Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl Based Syst. 2015;76:127–138.
   Web of Science ®Google Scholar
• Liao H, Xu Z, Zeng XJ. Hesitant fuzzy linguistic VIKOR method and its application in qualitative multiple criteria decision making. IEEE Trans Fuzzy Syst. 2015;23(5):1343–1355.
   Web of Science ®Google Scholar
• Peng HG, Wang JQ. Hesitant uncertain linguistic Z-numbers and their application in multi-criteria group decision making problems. Int J Fuzzy Syst. 2017;19(5):1300–1316.
   Web of Science ®Google Scholar
• Zhou H, Wang JQ, Zhang HY. Multi-criteria decision making approaches based on distance measures for linguistic hesitant fuzzy sets. J Oper Res Soc. 2018;69(5):661–675.
   Web of Science ®Google Scholar
• Wang J, Wang JQ, Zhang HY. A likelihood-based TODIM approach based on multi-hesitant fuzzy linguistic information for evaluation in logistics outsourcing. Comput Indust Eng. 2016;99:287–299.
   Web of Science ®Google Scholar
• Beg I, Rashid T. Hesitant intuitionistic fuzzy linguistic term set. Notes Intuitionistic Fuzzy Sets. 2014;20(3):53–64.
   Google Scholar
• Liu XY, Ju YB, Yang SH. Hesitant intuitionistic fuzzy linguistic aggregation operators and their applications to multiple attribute decision making. J Intell Fuzzy Syst. 2014;27(3):1187–1201.
   Web of Science ®Google Scholar
• Zhou H, Wang J, Li X, et al. Intuitionistic hesitant linguistic sets and their application in multi-criteria decision making problems. Int J Oper Res. 2016;16:131–160.
   Web of Science ®Google Scholar
• Faizi S, Rashid T, Zafar S. An outranking method for multi-criteria group decision making using hesitant intuitionistic fuzzy linguistic term sets. J Intell Fuzzy Syst. 2017;32(3):2153–2164.
   Web of Science ®Google Scholar
• Rashid T, Faizi S, Xu Z, et al. ELECTRE-based outranking method for multi-criteria decision making using hesitant intuitionistic fuzzy linguistic term sets. Int J Fuzzy Syst. 2018;20(1):78–92.
   Web of Science ®Google Scholar
• Xu YJ, Wang HM. Distance measure for linguistic decision making. Syst Eng Proc. 2011;1:450–456.
   Google Scholar
• Liao H, Xu Z, Zeng XJ. Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multicriteria decision making. Inf Sci (NY). 2014;271:125–142.
   Web of Science ®Google Scholar
• Herrera F, Herrera-Viedma E, Martínez L. A fuzzy linguistic methodology to deal with unbalanced linguistic term sets. IEEE Trans Fuzzy Syst. 2008;16:354–370.
   Web of Science ®Google Scholar
• Herrera F, Herrera-Viedma E. Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets Syst. 2000;115:67–82.
   Web of Science ®Google Scholar
• Yager RR. An approach to ordinal decision making. Int J Approx Reason. 1995;12:237–261.
   Web of Science ®Google Scholar
• Xu ZS. Uncertain multiple attribute decision making: methods and applications. Beijing: Tsinghua University Press; 2004.
   Google Scholar
• Xu ZS. Deviation measures of linguistic preference relations in group decision making. Omega. 2005;33:249–254.
   Web of Science ®Google Scholar
• Xu ZS. Linguistic decision making: theory and methods. Berlin: Springer-Verlag; 2012.
   Google Scholar
• Xu ZS. A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci (NY). 2004;166:19–30.
   Web of Science ®Google Scholar
• Xu ZS. Group decision making based on multiple types of linguistic preference relations. Inf Sci (NY). 2008;178:452–467.
   Web of Science ®Google Scholar
• Zhu B, Xu ZS. Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Trans Fuzzy Syst. 2014;22:35–45.
   Web of Science ®Google Scholar