Abstract
The emergency logistics provider selection (ELPS) is an important part of emergency logistics management. In an increasingly complex and highly uncertain evaluation environment, how to effectively select emergency logistics providers has become a hot topic in the field of emergency logistics management. In this paper, by integrating the double hierarchy hesitant fuzzy linguistic term set (DHHFLTS), the normalized projection measure and the improved ELECTRE II method, a practical integrated decision support model is proposed to handle the ELPS problem. First, DHHFLTSs are utilized to represent the complex and uncertain linguistic evaluation information provided by decision makers (DMs) to provide subjective judgments. Meanwhile, a distance measure for DHHFLTSs based on the proposed normalized projection is proposed to reflect both the included angle and the distance between evaluation objects, and a weight-determining method based on the proposed distance measure and the maximizing deviation method is constructed. Then a new decision support framework of double hierarchy hesitant fuzzy linguistic ELECTRE II based on positive and negative ideal solutions is put forward, in which three kinds of preference relations of the concordance and discordance sets are set up to rank the alternatives more reasonably. Finally, a practical example of ELPS is presented to illustrate the effectiveness of the proposed method, and detailed comparative analysis with other representative methods is also conducted to demonstrate the advantages of the proposed method.






Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Holguín-Veras, J., Jaller, M., Van Wassenhove, L.N., Pérez, N., Wachtendorf, T.: On the unique features of post-disaster humanitarian logistics. J. Oper. Manag. 30(7–8), 494–506 (2012)
Kim, S., Ramkumar, M., Subramanian, N.: Logistics service provider selection for disaster preparation: a socio-technical systems perspective. Ann. Oper. Res. 283(1–2), 1259–1282 (2019)
Baharmand, H., Comes, T., Lauras, M.: Managing in-country transportation risks in humanitarian supply chains by logistics service providers: insights from the 2015 Nepal earthquake. Int. J. Disaster Risk Reduct. 24, 549–559 (2017)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
Sarabi, E.P., Darestani, S.A.: Developing a decision support system for logistics service provider selection employing fuzzy MULTIMOORA & BWM in mining equipment manufacturing. Appl. Soft Comput. 98, 106849 (2021)
Qin, J., Liu, X., Pedrycz, W.: An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment. Eur. J. Oper. Res. 258(2), 626–638 (2017)
Zarbakhshnia, N., Soleimani, H., Ghaderi, H.: Sustainable third-party reverse logistics provider evaluation and selection using fuzzy SWARA and developed fuzzy COPRAS in the presence of risk criteria. Appl. Soft Comput. 65, 307–319 (2018)
Venkatesh, V., Zhang, A., Deakins, E., Luthra, S., Mangla, S.: A fuzzy AHP-TOPSIS approach to supply partner selection in continuous aid humanitarian supply chains. Ann. Oper. Res. 283(1), 1517–1550 (2019)
Singh, R.K., Gunasekaran, A., Kumar, P.: Third party logistics (3PL) selection for cold chain management: a fuzzy AHP and fuzzy TOPSIS approach. Ann. Oper. Res. 267(1–2), 531–553 (2018)
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoningłI. Inf. Sci. 8(3), 199–249 (1975)
Herrera, F., Martínez, L.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans. Fuzzy Syst. 8(6), 746–752 (2000)
Rodriguez, R.M., Martinez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE Trans. Fuzzy Syst. 20(1), 109–119 (2011)
Wang, J., Cao, Y., Zhang, H.: Multi-criteria decision-making method based on distance measure and choquet integral for linguistic Z-numbers. Cogn. Comput. 9(6), 827–842 (2017)
Garg, H.: Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision-making process. Int. J. Intell. Syst. 33(6), 1234–1263 (2018)
Gou, X., Liao, H., Xu, Z., Herrera, F.: Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: a case of study to evaluate the implementation status of haze controlling measures. Inf. Fusion 38, 22–34 (2017)
Qin, J., Ma, X.: An IT2FS-PT3 based emergency response plan evaluation with MULTIMOORA method in group decision making. Appl. Soft Comput. 122, 108812 (2022)
Wu, Q., Liu, X., Qin, J., Zhou, L., Mardani, A., Deveci, M.: An integrated generalized TODIM model for portfolio selection based on financial performance of firms. Knowl.-Based Syst. 249, 108794 (2022)
Liu, Z., Wang, S., Liu, P.: Multiple attribute group decision making based on q-rung orthopair fuzzy Heronian mean operators. Int. J. Intell. Syst. 33(12), 2341–2363 (2018)
Yang, C., Wang, Q., Pan, M., Hu, J., Peng, W., Zhang, J., Zhang, L.: A linguistic Pythagorean hesitant fuzzy MULTIMOORA method for third-party reverse logistics provider selection of electric vehicle power battery recycling. Expert Syst. Appl. 198, 116808 (2022)
Çalı, S., Balaman, ŞY.: A novel outranking based multi criteria group decision making methodology integrating ELECTRE and VIKOR under intuitionistic fuzzy environment. Expert Syst. Appl. 119, 36–50 (2019)
Govindan, K., Kadziński, M., Ehling, R., Miebs, G.: Selection of a sustainable third-party reverse logistics provider based on the robustness analysis of an outranking graph kernel conducted with ELECTRE I and SMAA. Omega 85, 1–15 (2019)
Govindan, K., Jepsen, M.B.: ELECTRE: a comprehensive literature review on methodologies and applications. Eur. J. Oper. Res. 250(1), 1–29 (2016)
Akram, M., Luqman, A., Kahraman, C.: Hesitant pythagorean fuzzy ELECTRE-II method for multi-criteria decision-making problems. Appl. Soft Comput. 108, 107479 (2021)
Liao, H., Yang, L., Xu, Z.: Two new approaches based on ELECTRE II to solve the multiple criteria decision making problems with hesitant fuzzy linguistic term sets. Appl. Soft Comput. 63, 223–234 (2018)
Zahid, K., Akram, M., Kahraman, C.: A new ELECTRE-based method for group decision-making with complex spherical fuzzy information. Knowl.-Based Syst. 243, 108525 (2022)
Wang, H., Pan, X., Yan, J., Yao, J., He, S.: A projection-based regret theory method for multi-attribute decision making under interval type-2 fuzzy sets environment. Inf. Sci. 512, 108–122 (2020)
Qin, R., Liao, H., Jiang, L.: An enhanced even swaps method based on prospect theory with hesitant fuzzy linguistic information and its application to the selection of emergency logistics plans under the COVID-19 pandemic outbreak. J. Oper. Res. Soc. 73(6), 1227–1239 (2022)
Zhang, J., Liu, H., Yu, G., Ruan, J., Chan, F.T.: A three-stage and multi-objective stochastic programming model to improve the sustainable rescue ability by considering secondary disasters in emergency logistics. Comput. Ind. Eng. 135, 1145–1154 (2019)
Diehlmann, F., Lüttenberg, M., Verdonck, L., Wiens, M., Zienau, A., Schultmann, F.: Public-private collaborations in emergency logistics: a framework based on logistical and game-theoretical concepts. Saf. Sci. 141, 105301 (2021)
Wang, Y., Peng, S., Xu, M.: Emergency logistics network design based on space-time resource configuration. Knowl.-Based Syst. 223, 107041 (2021)
Ergün, S., Usta, P., Alparslan Gök, S.Z., Weber, G.W.: A game theoretical approach to emergency logistics planning in natural disasters. Ann. Oper. Res. (2021). https://doi.org/10.1007/s10479-021-04099-9
Zhang, B., Li, H., Li, S., Peng, J.: Sustainable multi-depot emergency facilities location-routing problem with uncertain information. Appl. Math. Comput. 333, 506–520 (2018)
Feng, J.R., Gai, W., Li, J.: Multi-objective optimization of rescue station selection for emergency logistics management. Saf. Sci. 120, 276–282 (2019)
Gou, X., Xu, Z., Herrera, F.: Consensus reaching process for large-scale group decision making with double hierarchy hesitant fuzzy linguistic preference relations. Knowl.-Based Syst. 157, 20–33 (2018)
Gou, X., Liao, H., Xu, Z., Min, R., Herrera, F.: Group decision making with double hierarchy hesitant fuzzy linguistic preference relations: Consistency based measures, index and repairing algorithms and decision model. Inf. Sci. 489, 93–112 (2019)
Liu, P., Shen, M., Pedrycz, W.: MAGDM framework based on double hierarchy bipolar hesitant fuzzy linguistic information and its application to optimal selection of talents. Int. J. Fuzzy Syst. 24, 1757–1779 (2022)
Montserrat-Adell, J., Xu, Z., Gou, X., Agell, N.: Free double hierarchy hesitant fuzzy linguistic term sets: an application on ranking alternatives in GDM. Inf. Fusion 47, 45–59 (2019)
Fu, Z., Liao, H.: Unbalanced double hierarchy linguistic term set: The TOPSIS method for multi-expert qualitative decision making involving green mine selection. Inf. Fusion 51, 271–286 (2019)
Krishankumar, R., Arun, K., Kumar, A., Rani, P., Ravichandran, K., Gandomi, A.H.: Double-hierarchy hesitant fuzzy linguistic information-based framework for green supplier selection with partial weight information. Neural Comput. Appl. 33(21), 14837–14859 (2021)
Liu, N., He, Y., Xu, Z.: Evaluate public-private-partnerships Advancement using double hierarchy hesitant fuzzy linguistic PROMETHEE with subjective and objective information from stakeholder perspective. Technol. Econ. Dev. Econ. 25(3), 386–420 (2019)
Wang, X., Gou, X., Xu, Z.: Assessment of traffic congestion with ORESTE method under double hierarchy hesitant fuzzy linguistic environment. Appl. Soft Comput. 86, 105864 (2020)
Chen, N., Xu, Z.: Hesitant fuzzy ELECTRE II approach: a new way to handle multi-criteria decision making problems. Inf. Sci. 292, 175–197 (2015)
Lin, M., Chen, Z., Liao, H., Xu, Z.: ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing. Nonlinear Dyn. 96(3), 2125–2143 (2019)
Liu, Z., Wang, W., Wang, D., Liu, P.: A modified ELECTRE II method with double attitude parameters based on linguistic Z-number and its application for third-party reverse logistics provider selection. Appl. Intell. 52, 14964–14987 (2022)
Figueira, J. R., Greco, S., Roy, B., Słowiński, R.: ELECTRE methods: main features and recent developments. In: Handbook of multicriteria analysis. Springer, New York, pp. 51–89 (2010)
Yue, C.: Projection-based approach to group decision-making with hybrid information representations and application to software quality evaluation. Comput. Ind. Eng. 132, 98–113 (2019)
Yingming, W.: Using the method of maximizing deviation to make decision for multiindices. J. Syst. Eng. Electron. 8(3), 21–26 (1997)
Xu, Z., Zhang, X.: Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowl.-Based Syst. 52, 53–64 (2013)
Wang, J., Ma, X., Xu, Z., Pedrycz, W., Zhan, J.: A three-way decision method with prospect theory to multi-attribute decision-making and its applications under hesitant fuzzy environments. Appl. Soft Comput. 126, 109283 (2022)
García-Zamora, D., Labella, Á., Ding, W., Rodríguez, R.M., Martínez, L.: Large-scale group decision making: a systematic review and a critical analysis. IEEE/CAA J. Autom. Sin. 9(6), 949–966 (2022)
Liang, X., Guo, J., Liu, P.: A large-scale group decision-making model with no consensus threshold based on social network analysis. Inf. Sci. 612, 361–383 (2022)
Qin, J., Li, M., Liang, Y.: Minimum cost consensus model for crp-driven preference optimization analysis in large-scale group decision making using louvain algorithm. Inf. Fusion 80, 121–136 (2022)
Acknowledgements
This paper is supported by the International Cooperation Research Project of Shandong University of Finance and Economics and the National Social Science Foundation of China (No. 22BGL234).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that there is no conflict of interests regarding the publication of this paper.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Liu, Z., Wang, D., Zhao, Y. et al. An Improved ELECTRE II-Based Outranking Method for MADM with Double Hierarchy Hesitant Fuzzy Linguistic Sets and Its Application to Emergency Logistics Provider Selection. Int. J. Fuzzy Syst. 25, 1495–1517 (2023). https://doi.org/10.1007/s40815-022-01449-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40815-022-01449-y