Abstract
Hesitant fuzzy set is an extension of the traditional fuzzy set, and it has the membership function which was expressed by several possible numbers. Since it was introduced, it has been received wide attention from scholars due to its powerful ability in describing the uncertainty. In this paper, we first introduce some new operations on hesitant fuzzy elements (HFEs) based on Dombi t-conorm and t-norm and then proposed some new aggregation operators for HFEs, such as hesitant fuzzy Dombi weighted averaging, hesitant fuzzy Dombi ordered weighted averaging, hesitant fuzzy Dombi weighted geometric, hesitant fuzzy Dombi ordered weighted geometric, hesitant fuzzy Dombi hybrid averaging and hesitant fuzzy Dombi hybrid geometric operator. Finally, a multiple attribute group decision-making approach under hesitant fuzzy environment is presented based on these proposed operators. A real example about typhoon disaster assessment is presented to show the advantages of the proposed method.
Similar content being viewed by others
References
Chen J, Ye J (2017) Some single-valued neutrosophic Dombi weighted aggregation operators for multiple attribute decision-making. Symmetry 9(6):82. https://doi.org/10.3390/sym9060082
Chen JH, Su MC, Chen CY, Lin SC (2014) Developing a damage assessment model for bridge surroundings: a study of the disaster caused by Typhoon Morakot in Taiwan. Civ Eng Environ Syst 31(1):24–35
Deng Q, Liu Y, Zhang H, Deng X, Ma Y (2016) A new crowdsourcing model to assess disaster using microblog data in typhoon Haiyan. Nat Hazards 84(2):1241–1256
Dombi J (1982) A general class of fuzzy operators, the DeMorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets Syst 8(2):149–163
Emrouznejad A, Marra M (2014) Ordered weighted averaging operators 1988–2014: a citation-based literature survey. Int J Intell Syst 29(11):994–1014
He XR, Wu YY, Yu DJ (2016) Intuitionistic fuzzy multi-criteria decision making with application to job hunting: a comparative perspective. J Intell Fuzzy Syst 30(4):1935–1946
He XR, Wu YY, Yu DJ, Merigó JM (2017) Exploring the ordered weighted averaging operator knowledge domain: a bibliometric analysis. Int J Intell Syst 32(11):1151–1166
Li M, Wang J, Sun X (2016) Scenario-based risk framework selection and assessment model development for natural disasters: a case study of typhoon storm surges. Nat Hazards 80(3):2037–2054
Liu PD, Liu J, Chen SM (2017) Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making. J Oper Res Soc. https://doi.org/10.1057/s41274-017-0190-y
Merigó JM, Yang JB (2017) A bibliometric analysis of operations research and management science. Omega 73:37–48
Merigó JM, Gil-Lafuente AM, Yager RR (2015) An overview of fuzzy research with bibliometric indicators. Appl Soft Comput 27:420–433
Merigó JM, Rocafort A, Aznar-Alarcón JP (2016) Bibliometric overview of business & economics research. J Bus Econ Manag 17(3):397–413
Qin J, Liu X, Pedrycz W (2015) Hesitant fuzzy Maclaurin symmetric mean operators and its application to multiple-attribute decision making. Int J Fuzzy Syst 17(4):509–520
Qin J, Liu X, Pedrycz W (2016) Frank aggregation operators and their application to hesitant fuzzy multiple attribute decision making. Appl Soft Comput 41:428–452
Rodríguez RM, Martínez L, Herrera F, Torra V (2016) A review of hesitant fuzzy sets: quantitative and qualitative extensions. In: Kahraman C., Kaymak U., Yazici A. (eds) Fuzzy logic in its 50th year. Springer, Cham, pp 109–128
Tan CQ, Yi W, Chen X (2015) Hesitant fuzzy Hamacher aggregation operators for multi-criteria decision making. Appl Soft Comput 26:325–349
Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539
Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision. In: The 18th IEEE International conference on fuzzy systems, Jeju Island, Korea, pp 1378–1382
Wang G, Chen R, Chen J (2017) Direct and indirect economic loss assessment of typhoon disasters based on EC and IO joint model. Nat Hazards 87(3):1751–1764
Wei GW (2012) Hesitant fuzzy prioritized operators and their application to multiple attribute decision making. Knowl Based Syst 31:176–182
Xia MM, Xu ZS (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52(3):395–407
Xia MM, Xu ZS (2017) Some studies on properties of hesitant fuzzy sets. Int J Mach Learn Cybern 8(2):489–495
Xia MM, Xu ZS, Chen N (2013) Some hesitant fuzzy aggregation operators with their application in group decision making. Group Decis Negot 22(2):259–279
Xu ZS (2005) An overview of methods for determining OWA weights. Int J Intell Syst 20(8):843–865
Xu ZS, Da QL (2003) An overview of operators for aggregating information. Int J Intell Syst 18(9):953–969
Xu ZS, Yager RR (2010) Power-geometric operators and their use in group decision making. IEEE Trans Fuzzy Syst 18(1):94–105
Yager, R. R. (1988) On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans Syst Man Cybern 18(1):183–190
Yager RR (2001) The power average operator. IEEE Trans Syst Man Cybern A Syst Hum 31(6):724–731
Yager RR (2004) Modeling prioritized multi-criteria decision making. IEEE Trans Syst Man Cybern B (Cybern) 34(6):2396–2404
Yager RR (2008) Prioritized aggregation operators. Int J Approx Reason 48(1):263–274
Yager RR (2009) Prioritized OWA aggregation. Fuzzy Optim Decis Mak 8(3):245–262
Yin J, Yin Z, Xu S (2013) Composite risk assessment of typhoon-induced disaster for China’s coastal area. Nat Hazards 69(3):1423–1434
Yu DJ (2013) Intuitionistic fuzzy geometric Heronian mean aggregation operators. Appl Soft Comput 13(2):1235–1246
Yu DJ (2014a) Intuitionistic fuzzy information aggregation under confidence levels. Appl Soft Comput 19:147–160
Yu DJ (2014b) Some hesitant fuzzy information aggregation operators based on Einstein operational laws. Int J Intell Syst 29(4):320–340
Yu DJ (2015a) A scientometrics review on aggregation operator research. Scientometrics 105(1):115–133
Yu DJ (2015b) Multiattribute decision making based on intuitionistic fuzzy interaction average operators: a comparison. Int Trans Oper Res 22(6):1017–1032
Yu DJ (2015c) Intuitionistic fuzzy theory based typhoon disaster evaluation in Zhejiang Province, China: a comparative perspective. Nat Hazards 75(3):2559–2576
Yu DJ (2016) Softmax function based intuitionistic fuzzy multi-criteria decision making and applications. Oper Res Int J 16(2):327–348
Yu DJ (2017) Hesitant fuzzy multi-criteria decision making methods based on Heronian mean. Technol Econ Dev Econ 23(2):296–315
Yu DJ, Liao H (2016) Visualization and quantitative research on intuitionistic fuzzy studies. J Intell Fuzzy Syst 30(6):3653–3663
Yu DJ, Shi SS (2015) Researching the development of Atanassov intuitionistic fuzzy set: using a citation network analysis. Appl Soft Comput 32:189–198
Yu DJ, Xu C (2017) Mapping research on carbon emissions trading: a co-citation analysis. Renew Sustain Energy Rev 74:1314–1322
Yu DJ, Wu YY, Lu T (2012) Interval-valued intuitionistic fuzzy prioritized operators and their application in group decision making. Knowl Based Syst 30:57–66
Yu DJ, Zhang WY, Xu YJ (2013) Group decision making under hesitant fuzzy environment with application to personnel evaluation. Knowl Based Syst 52:1–10
Yu DJ, Zhang WY, Huang G (2016a) Dual hesitant fuzzy aggregation operators. Technol Econ Dev Econ 22(2):194–209
Yu DJ, Li DF, Merigó JM, Fang LC (2016b) Mapping development of linguistic decision making studies. J Intell Fuzzy Syst 30(5):2727–2736
Yu DJ, Xu ZS, Pedrycz W, Wang WR (2017a) Information sciences 1968–2016: a retrospective analysis with text mining and bibliometric. Inf Sci 418:619–634
Yu DJ, Xu ZS, Kao Y, Lin CT (2017b) The structure and citation landscape of IEEE Transactions on Fuzzy Systems (1994–2015). IEEE Trans Fuzzy Syst. https://doi.org/10.1109/TFUZZ.2017.2672732
Zhang Z (2013) Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making. Inf Sci 234:150–181
Zhou W (2014) An accurate method for determining hesitant fuzzy aggregation operator weights and its application to project investment. Int J Intell Syst 29(7):668–686
Zhou W, Xu ZS (2015) Optimal discrete fitting aggregation approach with hesitant fuzzy information. Knowl Based Syst 78:22–33
Zhou W, Xu ZS (2016a) Asymmetric hesitant fuzzy sigmoid preference relations in the analytic hierarchy process. Inf Sci 358:191–207
Zhou W, Xu ZS (2016b) Generalized asymmetric linguistic term set and its application to qualitative decision making involving risk appetites. Eur J Oper Res 254:610–621
Zhou W, Xu ZS (2017) Expected hesitant VaR for tail decision making under probabilistic hesitant fuzzy environment. Appl Soft Comput 60:297–311
Zhu B, Xu ZS (2013) Hesitant fuzzy Bonferroni means for multi-criteria decision making. J Oper Res Soc 64(12):1831–1840
Zhu B, Xu ZS, Xia MM (2012) Hesitant fuzzy geometric Bonferroni means. Inf Sci 205:72–85
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
He, X. Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators. Nat Hazards 90, 1153–1175 (2018). https://doi.org/10.1007/s11069-017-3091-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11069-017-3091-0