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Emergency material reserve location selection by a time-series-based evidential reasoning approach under bounded rationality

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Abstract

Location selection of emergency facilities is a vital issue in the disaster management, which can be considered as a multi-criteria decision making problem with uncertainty. In this regard, the evidential reasoning (ER) approach can be used for such a multiple criteria analysis with uncertain information. However, the original ER approach neither took into account the bounded rationality of experts, nor examined the information at different time nodes, which may not conform to the actual situation of location selection. To solve this problem, we propose a time-series-based ER approach under the bounded rationality of experts to make full use of all evidence. Firstly, we propose a prospect-theory-based modification function to adjust the evidence given by experts and reduce the corresponding subjectivity. Considering the information at different time, we then propose a time-series-based ER approach to generate the comprehensive evidence of each alternative over the whole period. Besides, a VIKOR-based ranking method is proposed to improve the way to rank alternatives in the original ER approach. Finally, the proposed method is applied in the location selection of the emergency material reserve and the corresponding comparative analyses are given to show the rationality of the proposed method.

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References

  • Balcik, B., Beamon, B.M., Smilowitz, K.: Last mile distribution in humanitarian relief. J. Intell. Transp. Syst. 12(2), 51–63 (2008)

    Google Scholar 

  • Bao, T.T., Xie, X.L., Long, P.Y., Wei, Z.K.: MADM method based on prospect theory and evidential reasoning approach with unknown attribute weights under intuitionistic fuzzy environment. Expert Syst. Appl. 88, 305–317 (2017)

    Google Scholar 

  • Cao, Q., Chen, W.X.: Research review of emergency facility location problem. Comput. Eng. 45(12), 26–37 (2019)

    Google Scholar 

  • Cao, C.J., Li, C.D., Yang, Q., Liu, Y., Qu, T.: A novel multi-objective programming model of relief distribution for sustainable disaster supply chain in large-scale natural disasters. J. Clean. Prod. 174, 1422–1435 (2018)

    Google Scholar 

  • Caunhye, A.M., Nie, X.F., Pokharel, S.: Optimization models in emergency logistics: a literature review. Socio-Econ. Plan. Sci. 46(1), 4–13 (2012)

    Google Scholar 

  • Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. Ann. Math. Stat. 38(2), 325–339 (1967)

    Google Scholar 

  • Ding, H.N., Hu, X.J., Tang, X.A.: Multiple-attribute group decision making for interval-valued intuitionistic fuzzy sets based on expert reliability and the evidential reasoning rule. Neural Comput. Appl. 32(9), 5213–5234 (2020)

    Google Scholar 

  • Fang, L., He, J.M.: Location planning model of emergency system based on AHP and target programming. Syst. Eng. Theory Pract. 23(12), 116–120 (2003)

    Google Scholar 

  • Fang, R., Liao, H.C., Yang, J.B., Xu, D.L.: Generalised probabilistic linguistic evidential reasoning approach for multi-criteria decision-making under uncertainty. J. Oper. Res. Soc. (2020). https://doi.org/10.1080/01605682.2019.1654415

    Article  Google Scholar 

  • Fu, C., Xue, M., Chang, W.J., Xu, D.L., Yang, S.L.: An evidential reasoning approach based on risk attitude and criterion reliability. Knowl. Based Syst. 199, 105947 (2020). https://doi.org/10.1016/j.knosys.2020.105947

    Article  Google Scholar 

  • Fu, C., Yang, J.B., Yang, S.L.: A group evidential reasoning approach based on expert reliability. Eur. J. Oper. Res. 246(3), 886–893 (2015)

    Google Scholar 

  • Gomes, L.F.A.M., Lima, M.M.P.P.: TODIM: basics and application to multicriteria ranking of projects with environmental impacts. Found. Comput. Dec. Sci. 16(4), 113–127 (1992)

    Google Scholar 

  • Gu, L.L., Geng, X.L.: Application of interval intuitionistic fuzzy and evidence reasoning in location selection of emergency logistics facilities. China Saf. Sci. J. 28(9), 183–188 (2018)

    Google Scholar 

  • Gunn, S.W.A.: The language of disasters: a brief terminology of disaster management and humanitarian action. In: Cahill, K.M. (ed.) Basics of International Humanitarian Missions, pp. 37–40. Fordham University Press/Center for International Health and Cooperation, New York (2003)

    Google Scholar 

  • Guo, M., Yang, J.B., Chin, K.S., Wang, H.W.: Evidential reasoning approach for multi-attribute decision analysis under both fuzzy and interval uncertainty. IEEE Trans. Fuzzy Syst. 17(3), 683–697 (2009)

    Google Scholar 

  • Habib, M.S., Sarkar, B., Tayyab, M., Saleem, M.W., Hussain, A., Ullah, M., Iqbal, M.W.: Large-scale disaster waste management under uncertain environment. J. Clean. Prod. 212, 200–222 (2019)

    Google Scholar 

  • Han, Y.F.: Study on location selection evaluation of emergency materials repository based on weighted grey entropy. J. Changchun Univ. 28(03), 17–21 (2018)

    Google Scholar 

  • Hu, C.H., Si, X.S., Yang, J.B.: Dynamic evidential reasoning algorithm for systems reliability prediction. Int. J. Syst. Sci. 41(7), 783–796 (2010)

    Google Scholar 

  • Jiang, C.X., Jing, Z.X., Ji, T.Y., Wu, Q.H.: Optimal location of PEVCSs using MAS and ER approach. IET Gener. Transm. Distrib. 12(20), 4377–4387 (2018)

    Google Scholar 

  • Jin, L.Q., Fang, X., Xu, Y.: A method for multi-attribute decision making under uncertainty using evidential reasoning and prospect theory. Int. J. Comput. Intell. Syst. 8, 48–62 (2015)

    Google Scholar 

  • Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk. Econometrica 47(2), 263–292 (1979)

    Google Scholar 

  • Kong, G.L., Xu, D.L., Liu, X.B., Yang, J.B.: Applying a belief rule-base inference methodology to a guideline-based clinical decision support system. Expert Syst. 26(5), 391–408 (2009)

    Google Scholar 

  • Krohling, R.A., de Souza, T.T.M.: Combining prospect theory and fuzzy numbers to multi-criteria decision making. Expert Syst. Appl. 39(13), 11487–11493 (2012)

    Google Scholar 

  • Li, G., Hong, Y.P., Gao, M.G.: Optimal location of Emergency system based on improved GRA-PDEA model. Math. Pract. Theory 47(10), 171–178 (2017)

    Google Scholar 

  • Liao, H. C., Fang, R., Yang, J. B., et al. (2019). Evidential reasoning with linguistic belief structures. In: 2019 IEEE International conference on fuzzy systems (FUZZ 2019), pp 1–5

  • Maleki, M., Majlesinasab, N., Sepehri, M.M.: Two new models for redeployment of ambulances. Comput. Ind. Eng. 78, 271–284 (2014)

    Google Scholar 

  • Maymandi, N., Kerachian, R., Nikoo, M.R.: Optimal spatio-temporal design of water quality monitoring networks for reservoirs: application of the concept of value of information. J. Hydrol. 558, 328–340 (2018)

    Google Scholar 

  • Mokhtari, K., Ren, J., Roberts, C., Wang, J.: Decision support framework for risk management on sea ports and terminals using fuzzy set theory and evidential reasoning approach. Expert Syst. Appl. 39(5), 5087–5103 (2012)

    Google Scholar 

  • Opricovic, S.: Multicriteria optimization of civil engineering systems. Faculty of Civil Engineering, Belgrade (1998)

    Google Scholar 

  • Phan, T.Y., Ma, H.M., Yeo, G.T.: Application of fuzzy Delphi TOPSIS to locate logistics centers in vietnam: the logisticians’ perspective. Asian J. Shipp. Logist. 33(4), 211–219 (2017)

    Google Scholar 

  • Schmid, V.: Solving the dynamic ambulance relocation and dispatching problem using approximate dynamic programming. Eur. J. Oper. Res. 219(3), 611–621 (2012)

    Google Scholar 

  • Schmid, V., Doerner, K.F.: Ambulance location and relocation problems with time-dependent travel times. Eur. J. Oper. Res. 207(3), 1293–1303 (2010)

    Google Scholar 

  • Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)

    Google Scholar 

  • Shi, H., Wang, L., Li, X.Y., Liu, H.C.: A novel method for failure mode and effects analysis using fuzzy evidential reasoning and fuzzy Petri nets. J. Ambient Intell. Humaniz. Comput. 11(6), 2381–2395 (2020)

    Google Scholar 

  • Si, X.S., Hu, C.H., Yang, J.B., Zhang, Q.: On the dynamic evidential reasoning algorithm for fault prediction. Expert Syst. Appl. 38(5), 5061–5080 (2011)

    Google Scholar 

  • Si, X.S., Hu, C.H., Yang, J.B., Zhou, Z.J.: A new prediction model based on belief rule base for system’s behavior prediction. IEEE Trans. Fuzzy Syst. 19(4), 636–651 (2011)

    Google Scholar 

  • Simon, H.A.: A behavioral model of rational choice. Q. J. Econ. 69(1), 99–118 (1955)

    Google Scholar 

  • Tversky, A., Kahneman, D.: Advances in prospect theory: cumulative representation of uncertainty. J. Risk Uncertain. 5, 297–323 (1992)

    Google Scholar 

  • Wang, J., Ding, S., Song, M., Fan, W.J., Yang, S.L.: Smart community evaluation for sustainable development using a combined analytical framework. J. Clean. Prod. 193, 158–168 (2018)

    Google Scholar 

  • Wang, T., Guomai, S., Zhang, L.M., Li, G.J., Li, Y.L., Chen, J.H.: Earthquake emergency response framework on campus based on multi-source data monitoring. J. Clean. Prod. 238, 117965 (2019)

    Google Scholar 

  • Wang, J.Q., Nie, R.R., Zhang, H.Y., Chen, X.H.: Intuitionistic fuzzy multi-criteria decision-making method based on evidential reasoning. Appl. Soft Comput. 13(4), 1823–1831 (2013)

    Google Scholar 

  • Wang, Y.M., Yang, J.B., Xu, D.L.: Environmental impact assessment using the evidential reasoning approach. Eur. J. Oper. Res. 174(3), 1885–1913 (2006a)

    Google Scholar 

  • Wang, Y.M., Yang, J.B., Xu, D.L.: The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees. Eur. J. Oper. Res. 175(1), 35–66 (2006b)

    Google Scholar 

  • Wang, Y.M., Yang, J.B., Xu, D.L.: On the combination and normalization of interval-valued belief structures. Inf. Sci. 177(5), 1230–1247 (2007)

    Google Scholar 

  • Wassenhove, L.N.V.: Humanitarian aid logistics: supply chain management in high gear. J. Oper. Res. Soc. 57(5), 475–489 (2006)

    Google Scholar 

  • Wu, X.H., Guo, J., Santibanez-Gonzalez, E.D.R.: Determining the amount of international aid that countries should donate after a disaster to alleviate sustainable implications: a new framework for analysis. J. Clean. Prod. 241, 118285 (2019). https://doi.org/10.1016/j.jclepro.2019.118285

    Article  Google Scholar 

  • Wu, X.L., Liao, H.C.: A consensus-based probabilistic linguistic gained and lost dominance score method. Eur. J. Oper. Res. 272(3), 1017–1027 (2019)

    Google Scholar 

  • Wu, X.L., Liao, H.C., Xu, Z.S., Hafezalkotob, A., Herrera, F.: Probabilistic linguistic MULTIMOORA: a multicriteria decision making method based on the probabilistic linguistic expectation function and the improved Borda rule. IEEE Trans. Fuzzy Syst. 26(6), 3688–3702 (2018)

    Google Scholar 

  • Xiao, J.H., Hou, Y.X.: An emergency supply stockpile location model by combining fuzzy TOPSIS method and multi-level coverage. Indus. Eng. J. 16(1), 91–98 (2013)

    Google Scholar 

  • Xu, D.L.: An introduction and survey of the evidential reasoning approach for multiple criteria decision analysis. Ann. Oper. Res. 195(1), 163–187 (2012)

    Google Scholar 

  • Xu, D.L., Liu, J., Yang, J.B., Liu, G.P., Wang, J., Jenkinson, I., Ren, J.: Inference and learning methodology of belief-rule-based expert system for pipeline leak detection. Expert Syst. Appl. 32(1), 103–113 (2007)

    Google Scholar 

  • Xu, X.W., Xie, X.L., Zhang, B.F., Pan, W.: A hybrid method for evaluating the effectiveness of giant systems with indicator correlations: an application for naval formation decision making in multiple scenarios. Soft. Comput. 24(6), 4295–4306 (2020)

    Google Scholar 

  • Xu, J., Xu, X.D.: A fusion algorithm of swarm intelligence and its application in emergency services facility location. Comput. Eng. Sci. 36(4), 667–673 (2014)

    Google Scholar 

  • Xu, D.L., Yang, J.B., Wang, Y.M.: The evidential reasoning approach for multi-attribute decision analysis under interval uncertainty. Eur. J. Oper. Res. 174(3), 1914–1943 (2006)

    Google Scholar 

  • Xu, X.B., Zhang, D.Q., Bai, Y., Chang, L.L., Li, J.N.: Evidence reasoning rule-based classifier with uncertainty quantification. Inf. Sci. 516, 192–204 (2020)

    Google Scholar 

  • Yang, J.B., Liu, J., Wang, J., Sii, H.S., Wang, H.W.: Belief rule-base inference methodology using the evidential reasoning Approach-RIMER. IEEE Trans. Syst. Man Cybern. Part A: Syst. Humans 36(2), 266–285 (2006)

    Google Scholar 

  • Yang, J.B., Wang, Y.M., Xu, D.L., Chin, K.S.: The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties. Eur. J. Oper. Res. 171(1), 309–343 (2006)

    Google Scholar 

  • Yang, J.B., Xu, D.L.: On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 32(3), 289–304 (2002)

    Google Scholar 

  • Zhang, F.S., Cao, C.J., Li, C.D., Liu, Y., Huisingh, D.: A systematic review of recent developments in disaster waste management. J. Clean. Prod. 235, 822–840 (2019)

    Google Scholar 

  • Zhang, B., Zhang, M.L., Song, Y.F., Lu, Y., Zhang, L.: Combining evidence sources in time domain with decision maker’s preference on time sequence. IEEE Access 7, 174210–174218 (2019)

    Google Scholar 

  • Zhao, Y.F., Chen, G.H.: Study on location optimizing model of emergency system based on improved TOPSIS method. China Saf. Sci. J. 18(9), 22–28 (2008)

    Google Scholar 

  • Zhou, H., Wang, J.Q., Zhang, H.Y., Chen, X.H.: Linguistic hesitant fuzzy multi-criteria decision-making method based on evidential reasoning. Int. J. Syst. Sci. 47(2), 314–327 (2016)

    Google Scholar 

  • Zhu, J.M.: Methods of multi-objective decision-making for emergency facility location problem under failure scenario. Syst. Eng. Theory Pract. 35(3), 720–727 (2015)

    Google Scholar 

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Acknowledgments

The work was supported by the National Natural Science Foundation of China (71571156, 71971145).

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Correspondence to Huchang Liao.

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Fang, R., Liao, H. Emergency material reserve location selection by a time-series-based evidential reasoning approach under bounded rationality. Qual Quant 55, 1397–1417 (2021). https://doi.org/10.1007/s11135-020-01064-9

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