Exponential and non-Exponential Based Generalized Similarity Measures for Complex Hesitant Fuzzy Sets with Applications

References

• Zadeh LA. Fuzzy sets. Inf Control. 1965;8(3):338–353.
   Google Scholar
• Adlassnig KP. Fuzzy set theory in medical diagnosis. IEEE Trans Sys Man Cybe. 1986;16(2):260–265.
   Web of Science ®Google Scholar
• Chen SM. A weighted fuzzy reasoning algorithm for medical diagnosis. Decis Support Syst. 1994;11(1):37–43.
   Web of Science ®Google Scholar
• Smets P. Medical diagnosis: fuzzy sets and degrees of belief. Fuzzy Sets Syst. 1981;5(3):259–266.
   Web of Science ®Google Scholar
• Mitra S, Pal SK. Fuzzy sets in pattern recognition and machine intelligence. Fuzzy Sets Syst. 2005;156(3):381–386.
   Web of Science ®Google Scholar
• Yager RR. Multiple objective decision-making using fuzzy sets. Int J Man Mach Stud. 1977;9(4):375–382.
   Web of Science ®Google Scholar
• Zadeh LA. The Concept of a Linguistic Variable and its Application to Approximate Reasoning. In: Fu KS, Tou JT (eds). Learning Systems and Intelligent Robots. Boston (MA): Springer; 1974. p. 1–10.
   Google Scholar
• Couso I, Garrido L, SáNchez L. Similarity and dissimilarity measures between fuzzy sets: a formal relational study. Inf Sci (Ny). 2013;229:122–141.
   Web of Science ®Google Scholar
• Lee-Kwang H, Song YS, Lee KM. Similarity measure between fuzzy sets and between elements. Fuzzy Sets Syst. 1994;62(3):291–293.
   Web of Science ®Google Scholar
• Pramanik S, Mondal K. Weighted fuzzy similarity measure based on tangent function and its application to medical diagnosis. Infinite Study. 2015;4:158–164.
   Google Scholar
• Wang WJ. New similarity measures on fuzzy sets and on elements. Fuzzy Sets Syst. 1997;85(3):305–309.
   Web of Science ®Google Scholar
• Kwon SH. A similarity measure of fuzzy sets. J Korean Instit Intell Sys. 2001;11(3):270–274.
   Google Scholar
• Guha D, Chakraborty D. A new approach to fuzzy distance measure and similarity measure between two generalized fuzzy numbers. Appl Soft Comput. 2010;10(1):90–99.
   Web of Science ®Google Scholar
• Kakati PP. A note on the new similarity measure for fuzzy sets. Int J Comp Appl Tech Res. 2013;2(5):601–605.
   Google Scholar
• Hesamian G. Fuzzy similarity measure based on fuzzy sets. Control Cybern. 2017;46(1):71–86.
   Google Scholar
• Ramot D, Milo R, Friedman M, et al. Complex fuzzy sets. IEEE Trans Fuzzy Syst. 2002;10(2):171–186.
   Web of Science ®Google Scholar
• Bi L, Dai S, Hu B, et al. Complex fuzzy arithmetic aggregation operators. J Intell Fuzzy Syst. 2019;36(3):2765–2771.
   Web of Science ®Google Scholar
• Li C. Adaptive image restoration by a novel neuro-fuzzy approach using complex fuzzy sets. Int J Intell Inf Database Syst. 2013;7(6):479–495.
   Google Scholar
• Yazdanbakhsh O, Dick S. A systematic review of complex fuzzy sets and logic. Fuzzy Sets Syst. 2018;338:1–22.
   Web of Science ®Google Scholar
• Dai S. Comment on “toward complex fuzzy logic”. IEEE Trans Fuzzy Syst. 2019;1–1.
   Google Scholar
• Jun YB, Xin XL. Complex fuzzy sets with application in BCK/BCI-Algebras. Bull Sec Logic. 2019;48(3):173–185.
   Google Scholar
• Hu B, Bi L, Dai S. The orthogonality between complex fuzzy sets and its application to signal detection. Symmetry (Basel). 2017;9(9):175.
   Google Scholar
• Hu B, Bi L, Dai S, et al. Distances of complex fuzzy sets and continuity of complex fuzzy operations. J Intell Fuzzy Syst. 2018;35(2):2247–2255.
   Web of Science ®Google Scholar
• Torra V. Hesitant fuzzy sets. Int J Intell Syst. 2010;25(6):529–539.
   Web of Science ®Google Scholar
• Xu Z, Xia M. Distance and similarity measures for hesitant fuzzy sets. Inf Sci (Ny). 2011;181(11):2128–2138.
   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
• Alcantud JCR, Torra V. Decomposition theorems and extension principles for hesitant fuzzy sets. Inf Fusion. 2018;41:48–56.
   Web of Science ®Google Scholar
• Bisht K, Kumar S. Fuzzy time series forecasting method based on hesitant fuzzy sets. Expert Syst Appl. 2016;64:557–568.
   Web of Science ®Google Scholar
• Zhang X, Xu Z. Novel distance and similarity measures on hesitant fuzzy sets with applications to clustering analysis. J Intell Fuzzy Syst. 2015;28(5):2279–2296.
   Web of Science ®Google Scholar
• Alcantud JCR, Giarlotta A. Necessary and possible hesitant fuzzy sets: a novel model for group decision making. Inf Fusion. 2019;46:63–76.
   Web of Science ®Google Scholar
• Farhadinia B, Herrera-Viedma E. Multiple criteria group decision making method based on extended hesitant fuzzy sets with unknown weight information. Appl Soft Comput. 2019;78:310–323.
   Web of Science ®Google Scholar
• Zeng W, Li D, Yin Q. Distance and similarity measures between hesitant fuzzy sets and their application in pattern recognition. Pattern Recognit Lett. 2016;84:267–271.
   Web of Science ®Google Scholar
• Tang X, Peng Z, Ding H, et al. Novel distance and similarity measures for hesitant fuzzy sets and their applications to multiple attribute decision making. J Intell Fuzzy Syst. 2018;34(6):3903–3916.
   Web of Science ®Google Scholar
• Liu P, Mahmood T, Ali Z. Complex q-Rung Orthopair fuzzy aggregation operators and their applications in multi-attribute group decision making. Information. 2020;11(1):5.
   Google Scholar
• Liu P, Ali Z, Mahmood T. A method to multi-attribute group decision-making problem with complex q-Rung Orthopair linguistic information based on Heronian mean operators. Int J Comp Intell Sys. 2019;12(2):1465–1496.
   Web of Science ®Google Scholar
• Ullah K, Mahmood T, Ali Z, et al. On some distance measures of complex Pythagorean fuzzy sets and their applications in pattern recognition. Compl Intell Sys. 2019;6:1–13.
   Web of Science ®Google Scholar
• Ullah K, Garg H, Mahmood T, et al. Correlation coefficients for T-spherical fuzzy sets and their applications in clustering and multi-attribute decision making. Soft Comput. 2019;24:1–13.
   Web of Science ®Google Scholar
• Ali Z, Mahmood T. Complex neutrosophic generalized dice similarity measures and their application to decision making. CAAI Trans Intell Technol. 2020;5:1–10.
   Google Scholar
• Jan N, Zedam L, Mahmood T, et al. Multiple attribute decision making method under linguistic cubic information. J Intell Fuz Sys (Preprint). 2019;36:1–17.
   Web of Science ®Google Scholar
• Ullah K, Mahmood T, Jan N, et al. A note on geometric aggregation operators in spherical fuzzy environment and its application in multi-attribute decision making. J Eng Appl Sci. 2018;37(2):75–86.
   Google Scholar
• Zhang D, Wu C, Liu J. Ranking products with online reviews: a novel method based on hesitant fuzzy set and sentiment word framework. J Oper Res Soc. 2020;71(3):528–542.
   Web of Science ®Google Scholar
• Torra V, Narukawa Y. On hesitant fuzzy sets and decision. In 2009 IEEE International Conference on Fuzzy Systems. IEEE; 2009, Aug. p. 1378–1382.
   Google Scholar
• Qian G, Wang H, Feng X. Generalized hesitant fuzzy sets and their application in decision support system. Knowl Based Syst. 2013;37:357–365.
   Web of Science ®Google Scholar
• Rodríguez RM, Martínez L, Torra V, et al. Hesitant fuzzy sets: state of the art and future directions. Int J Intell Syst. 2014;29(6):495–524.
   Web of Science ®Google Scholar
• Xu, Z. Hesitant fuzzy sets theory (Vol. 314). Cham: Springer International Publishing; 2014.
   Google Scholar
• Wei G. Hesitant fuzzy prioritized operators and their application to multiple attribute decision making. Knowl Based Syst. 2012;31:176–182.
   Web of Science ®Google Scholar
• Wang JQ, Wang DD, yu Zhang H, et al. Multi-criteria outranking approach with hesitant fuzzy sets. OR Spectrum. 2014;36(4):1001–1019.
   Web of Science ®Google Scholar
• Faizi S, Rashid T, Sałabun W, et al. Decision making with uncertainty using hesitant fuzzy sets. Int J Fuzzy Syst. 2018;20(1):93–103.
   Web of Science ®Google Scholar