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Location Selection of Express Distribution Centre with Probabilistic Linguistic MABAC Method Based on the Cumulative Prospect Theory
Volume 33, Issue 1 (2022), pp. 131–150
Pub. online: 7 January 2022      Type: Research Article      Open accessOpen Access
Received
1 August 2021
Accepted
1 November 2021
Published
7 January 2022

Abstract

In our daily life, we could be confronted with numerous multiple attribute group decision making (MAGDM) problems. For such problems we designed a model which employs probabilistic linguistic MABAC (multi-attributive border approximation area comparison) based on the cumulative prospect theory (CPT-PL-MABAC) method to solve the MAGDM. The CPT-PL-MABAC method can take experts’ psychological behaviour and preferences into consideration. Furthermore, we utilize the combined weight consisting of subjective weight and objective weight. The objective weight is acquired by the entropy method. Additionally, the concrete calculating steps of CPT-PL-MABAC method are proposed to solve the MAGDM for selecting the optimal location of express distribution centre. Also, a numerical example for location selection of express distribution centre is given as the justification of the usefulness of the designed method. Finally, we compare the designed model with the other three existing models, and summarize the advantages and shortcomings.

References

 
Aydin, S. (2021). A novel multi-expert MABAC method based on fermatean fuzzy sets. Journal of Multiple-Valued Logic and Soft Computing, 37, 533–552.
 
Biswas, S. (2020). Measuring performance of healthcare supply chains in India: a comparative analysis of multi-criteria decision making methods. Decision Making Applications in Management and Engineering, 3, 162–189.
 
Chang, J.Y., Liao, H.C., Mi, X.M., Al-Barakati, A. (2021). A probabilistic linguistic TODIM method considering cumulative probability-based Hellinger distance and its application in waste mobile phone recycling. Applied Intelligence, 51(3). https://doi.org/10.1007/s10489-021-02185-w.
 
Chen, Z.Y., Wang, X.K., Peng, J.J., Zhang, H.Y., Wang, J.Q. (2020). An integrated probabilistic linguistic projection method forMCGDMbased onELECTRE IIIand the weighted convex median voting rule. Expert Systems, 37(6), e12593.
 
Du, Y.F., Liu, D. (2021). A novel approach to relative importance ratings of customer requirements in QFD based on probabilistic linguistic preferences. Fuzzy Optimization and Decision Making. https://doi.org/10.1007/s10700-020-09347-4.
 
Gao, J.W., Guo, F.J., Li, X.Z., Huang, X., Men, H.J. (2021). Risk assessment of offshore photovoltaic projects under probabilistic linguistic environment. Renewable Energy, 163, 172–187.
 
Gong, C., Xu, C.H., Ando, M., Xi, X.M. (2018). A new method of portfolio optimization under cumulative prospect theory. Tsinghua Science and Technology, 23, 75–86.
 
Gong, J.W., Li, Q., Yin, L.S., Liu, H.C. (2020). Undergraduate teaching audit and evaluation using an extended MABAC method underq-rung orthopair fuzzy environment. International Journal of Intelligent Systems, 35, 1912–1933.
 
Gou, X.J., Xu, Z.S., Liao, H.C. (2017). Multiple criteria decision making based on Bonferroni means with hesitant fuzzy linguistic information. Soft Computing, 21, 6515–6529.
 
He, S.S., Wang, Y.T., Peng, J.J., Wang, J.Q. (2021). Risk ranking of wind turbine systems through an improved FMEA based on probabilistic linguistic information and the TODIM method. Journal of the Operational Research Society. https://doi.org/10.1080/01605682.2020.1854629.
 
Hu, J.H., Chen, P.P., Yang, Y. (2019). An interval type-2 fuzzy similarity-based MABAC approach for patient-centered care. Mathematics, 7(2), 140. https://doi.org/10.3390/math7020140.
 
Huang, Y., Lin, R., Chen, X. (2021). An enhancement EDAS method based on prospect theory. Technological and Economic Development of Economy, 27, 1019–1038.
 
Jiang, L.S., Liao, H.C. (2021). Network consensus analysis of probabilistic linguistic preference relations for group decision making and its application in urban household waste classification. Journal of Cleaner Production, 2781, 122766.
 
Jiang, Z., Wei, G., Chen, X. (2021a). EDAS method based on cumulative prospect theory for multiple attribute group decision-making under picture fuzzy environment. Journal of Intelligent & Fuzzy Systems. https://doi.org/10.3233/JIFS-211171.
 
Jiang, Z., Wei, G., Wu, J., Chen, X. (2021b). CPT-TODIM method for picture fuzzy multiple attribute group decision making and its application to food enterprise quality credit evaluation. Journal of Intelligent & Fuzzy Systems, 4, 10115–10128.
 
Jiang, Z., Wei, G., Guo, Y. (2022). Picture fuzzy MABAC method based on prospect theory for multiple attribute group decision making and its application to suppliers selection. Journal of Intelligent & Fuzzy Systems. https://doi.org/10.3233/JIFS-211359.
 
Lei, F., Wei, G., Shen, W., Guo, Y. (2021). PDHL-EDAS method for multiple attribute group decision making and its application to 3D printer selection. Technological and Economic Development of Economy, 1–22. https://doi.org/10.3846/tede.2021.15884.
 
Liang, D.C., Kobina, A., Quan, W. (2018). Grey relational analysis method for probabilistic linguistic multi-criteria group decision-making based on geometric Bonferroni mean. International Journal of Fuzzy Systems, 20, 2234–2244.
 
Liang, D.C., Dai, Z.Y., Wang, M.W., Li, J.J. (2020). Web celebrity shop assessment and improvement based on online review with probabilistic linguistic term sets by using sentiment analysis and fuzzy cognitive map. Fuzzy Optimization and Decision Making, 19, 561–586.
 
Liang, W.Z., Zhao, G.Y., Wu, H., Dai, B. (2019). Risk assessment of rockburst via an extended MABAC method under fuzzy environment. Tunnelling and Underground Space Technology, 83, 533–544.
 
Lin, M.W., Chen, Z.Y., Liao, H.C., Xu, Z.S. (2019). ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing. Nonlinear Dynamics, 96, 2125–2143.
 
Lin, M.W., Chen, Z.Y., Xu, Z.S., Gou, X.J., Herrera, F. (2021). Score function based on concentration degree for probabilistic linguistic term sets: an application to TOPSIS and VIKOR. Information Sciences, 551, 270–290.
 
Liu, P.D., Zhang, P. (2021). A normal wiggly hesitant fuzzy MABAC method based on CCSD and prospect theory for multiple attribute decision making. International Journal of Intelligent Systems, 36, 447–477.
 
Liu, Y.S., Tang, L.N., Ma, Y.Z., Yang, T.H. (2018). TFT-LCD module cell layout design using simulation and fuzzy multiple attribute group decision-making approach. Applied Soft Computing, 68, 873–888.
 
Liu, H.B., Ma, Y., Jiang, L. (2019). Managing incomplete preferences and consistency improvement in hesitant fuzzy linguistic preference relations with applications in group decision making. Information Fusion, 51, 19–29.
 
Luo, D.D., Zeng, S.Z., Chen, J. (2020). A probabilistic linguistic multiple attribute decision making based on a new correlation coefficient method and its application in hospital assessment. Mathematics, 8(3), 340. https://doi.org/10.3390/math8030340.
 
Luo, Y.Y., Zhang, X.X., Qin, Y., Yang, Z., Liang, Y. (2021). Tourism attraction selection with sentiment analysis of online reviews based on probabilistic linguistic term sets and the IDOCRIW-COCOSO model. International Journal of Fuzzy Systems, 23, 295–308.
 
Ming, Y., Luo, L., Wu, X.L., Liao, H.C., Lev, B., Jiang, L. (2020). Managing patient satisfaction in a blood-collection room by the probabilistic linguistic gained and lost dominance score method integrated with the best-worst method. Computers & Industrial Engineering, 145, 106547.
 
Mo, H.M. (2020). An emergency decision-making method for probabilistic linguistic term sets extended by D number theory. Symmetry-Basel, 12(3), 380. https://doi.org/10.3390/sym12030380.
 
Pamucar, D., Stevic, Z., Zavadskas, E.K. (2018). Integration of interval rough AHP and interval rough MABAC methods for evaluating university web pages. Applied Soft Computing, 67, 141–163.
 
Pan, L., Xu, Z.S., Ren, P.J. (2021) DEA cross-efficiency framework for efficiency evaluation with probabilistic linguistic term sets. Journal of the Operational Research Society, 72(5), 1191–1206.
 
Pang, Q., Wang, H., Xu, Z.S. (2016). Probabilistic linguistic linguistic term sets in multi-attribute group decision making. Information Sciences, 369, 128–143.
 
Peng, H.G., Wang, J.Q. (2020). Multi-criteria sorting decision making based on dominance and opposition relations with probabilistic linguistic information. Fuzzy Optimization and Decision Making, 19, 435–470.
 
Qu, G.H., Xue, R.D., Li, T.J., Qu, W.H., Xu, Z.S. (2020). A stochastic multi-attribute method for measuring sustainability performance of a supplier based on a triple bottom line approach in a dual hesitant fuzzy linguistic Environment. International Journal of Environmental Research and Public Health, 17, 2138.
 
Rodriguez, R.M., Martinez, L., Herrera, F. (2012). Hesitant fuzzy linguistic term sets for decision making. IEEE Transactions on Fuzzy Systems, 20, 109–119.
 
Shen, A., Peng, S.L., Liu, G.F. (2021). Transforming and decision-making based on probabilistic linguistic term sets with comparative linguistic expressions and incomplete assessments. Journal of Intelligent & Fuzzy Systems, 40, 491–506.
 
Su, Y., Zhao, M., Wei, C., Chen, X. (2021a). PT-TODIM method for probabilistic linguistic MAGDM and application to industrial control system security supplier selection. International Journal of Fuzzy Systems. https://doi.org/10.1007/s40815-40021-01125-40817.
 
Su, Y., Zhao, M., Wei, G., Wei, C., Chen, X. (2021b). Probabilistic uncertain linguistic EDAS method based on prospect theory for multiple attribute group decision-making and its application to green finance. International Journal of Fuzzy Systems. https://doi.org/10.1007/s40815-40021-01184-w.
 
Sun, R.X., Hu, J.H., Zhou, J.D., Chen, X.H. (2018). A hesitant fuzzy linguistic projection-based MABAC method for patients’ prioritization. International Journal of Fuzzy Systems, 20, 2144–2160.
 
Teng, F., Liu, P.D., Liang, X. (2021). Unbalanced probabilistic linguistic decision-making method for multi-attribute group decision-making problems with heterogeneous relationships and incomplete information. Artificial Intelligence Review, 54(6). https://doi.org/10.1007/s10462-020-09927-1.
 
Tversky, A., Kahneman, D. (1992). Advances in prospect theory: cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297–323.
 
Verma, R. (2021). On intuitionistic fuzzy order-alpha divergence and entropy measures with MABAC method for multiple attribute group decision-making. Journal of Intelligent & Fuzzy Systems, 40, 1191–1217.
 
Wang, B.L., Liang, J.Y. (2020). A novel preference measure for multi-granularity probabilistic linguistic term sets and its applications in large-scale group decision-making. International Journal of Fuzzy Systems, 22, 2350–2368.
 
Wang, L., Garg, H. (2021). Algorithm for multiple attribute decision-making with interactive Archimedean norm operations under Pythagorean fuzzy uncertainty. International Journal of Computational Intelligence Systems, 14(1), 503–527.
 
Wang, M.W., Liang, D.C., Xu, Z.S., Ye, D.J. (2021). The evaluation of mobile health apps: a psychological perception-based probabilistic linguistic belief thermodynamic multiple attribute decision making method. Journal of the Operational Research Society, 72(11). https://doi.org/10.1080/01605682.2020.1801361.
 
Wang, X.K., Wang, Y.T., Wang, J.Q., Cheng, P.F., Li, L. (2020). A TODIM-PROMETHEE II based multi-criteria group decision making method for risk evaluation of water resource carrying capacity under probabilistic linguistic Z-number circumstances. Mathematics, 8, 1190. https://doi.org/10.3390/math8071190.
 
Wei, G., Wei, C., Guo, Y. (2021a). EDAS method for probabilistic linguistic multiple attribute group decision making and their application to green supplier selection. Soft Computing, 25, 9045–9053.
 
Wei, G., Wu, J., Guo, Y., Wang, J., Wei, C. (2021b). An extended COPRAS model for multiple attribute group decision making based on single-valued neutrosophic 2-tuple linguistic environment. Technological and Economic Development of Economy, 27, 353–368.
 
Xiao, L., Wei, G., Guo, Y., Chen, X. (2021). Taxonomy method for multiple attribute group decision making based on interval-valued intuitionistic fuzzy with entropy. Journal of Intelligent & Fuzzy Systems, 41, 7031–7045.
 
Xie, W.Y., Xu, Z.S., Ren, Z.L., Herrera-Viedma, E. (2020). The probe for the weighted dual probabilistic linguistic correlation coefficient to invest an artificial intelligence project. Soft Computing, 24, 15389–15408.
 
Xu, C., Qian, G., Wang, H. (2020). Stochastic multiple criteria comprehensive evaluation based on probabilistic linguistic preference relations: a case study of healthcare insurance audits in China. International Journal of Fuzzy Systems, 22, 1607–1623.
 
Xu, X.G., Shi, H., Zhang, L.J., Liu, H.C. (2019). Green supplier evaluation and selection with an extended MABAC method under the heterogeneous information environment. Sustainability, 11(23), 6616.
 
Xu, X.H., Hou, Y.Z., He, J.S., Zhang, Z.T. (2020). A two-stage similarity clustering-based large group decision-making method with incomplete probabilistic linguistic evaluation information. Soft Computing, 24, 16869–16883.
 
Yazdi, A.K., Komijan, A.R., Wanke, P.F., Sardar, S. (2020). Oil project selection in Iran: a hybrid MADM approach in an uncertain environment. Applied Soft Computing, 88, 106066.
 
You, S.Y., Zhang, L.J., Xu, X.G., Liu, H.C. (2020). A new integrated multi-criteria decision making and multi-objective programming model for sustainable supplier selection and order allocation. Symmetry-Basel, 12, 302.
 
Yu, S.M., Du, Z.J., Lin, X.D., Luo, H.Y., Wang, J.Q. (2020). A stochastic dominance-based approach for hotel selection under probabilistic linguistic environment. Mathematics, 8, 1525.
 
Yue, N., Wu, D.R., Xie, J.L., Chen, S.L. (2020a). Probabilistic linguistic multi-criteria decision-making based on double information under imperfect conditions. Fuzzy Optimization and Decision Making, 19, 391–433.
 
Yue, N., Xie, J.L., Chen, S.L. (2020b). Some new basic operations of probabilistic linguistic term sets and their application in multi-criteria decision making. Soft Computing, 24, 12131–12148.
 
Zeng, W.Y., Li, D.Q., Yin, Q. (2019). Weighted hesitant fuzzy linguistic term sets and its application in group decision making. Journal of Intelligent & Fuzzy Systems, 37, 1099–1112.
 
Zhang, D., Su, Y., Zhao, M., Chen, X. (2021). CPT-TODIM method for interval neutrosophic MAGDM and its application to third-party logistics service providers selection. Technological and Economic Development of Economy, 1–19. https://doi.org/10.3846/tede.2021.15758.
 
Zhang, H., Wei, G., Chen, X. (2021). CPT-MABAC method for spherical fuzzy multiple attribute group decision making and its application to green supplier selection. Journal of Intelligent & Fuzzy Systems, 41, 1009–1019.
 
Zhang, H.J., Palomares, I., Dong, Y.C., Wang, W.W. (2018). Managing non-cooperative behaviors in consensus-based multiple attribute group decision making: an approach based on social network analysis. Knowledge-Based Systems, 162, 29–45.
 
Zhang, S., Gao, H., Wei, G., Chen, X. (2021). Grey relational analysis method based on cumulative prospect theory for intuitionistic fuzzy multi-attribute group decision making. Journal of Intelligent & Fuzzy Systems, 41, 3783–3795.
 
Zhao, M.W., Wei, G.W., Chen, X.D., Wei, Y. (2021a). Intuitionistic fuzzy MABAC method based on cumulative prospect theory for multiple attribute group decision making. International Journal of Intelligent Systems, 36, 6337–6359.
 
Zhao, M.W., Wei, G.W., Wei, C., Wu, J. (2021b). Pythagorean fuzzy TODIM method based on the cumulative prospect theory for MAGDM and its application on risk assessment of science and technology projects. International Journal of Fuzzy Systems, 23(1), https://doi.org/10.1007/s40815-40020-00986-40818.
 
Zhao, M.W., Wei, G.W., Wu, J., Guo, Y.F., Wei, C. (2021c). TODIM method for multiple attribute group decision making based on cumulative prospect theory with 2-tuple linguistic neutrosophic sets. International Journal of Intelligent Systems, 36, 1199–1222.

Biographies

Tang Shiqi

S. Tang is a current master’s student with College of Mathematical Sciences, Sichuan Normal University, Chengdu, 610066, PR China. She is currently interested in aggregation operators, decision making and computing with words.

Wei Guiwu
weiguiwu@163.com

G. Wei has an MSc and a PhD degrees in applied mathematics from SouthWest Petroleum University, and in business administration from School of Economics and Management at SouthWest Jiaotong University, China, respectively. From May 2010 to April 2012, he was a postdoctoral researcher at the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor in the School of Business at Sichuan Normal University. He has published more than 100 papers in journals, books and conference proceedings, including journals such as Omega, Decision Support Systems, Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Computers & Industrial Engineering, Knowledge-Based Systems, International Journal of Intelligent Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems, International Journal of Machine Learning and Cybernetics, Fundamenta Informaticae, Informatica, Kybernetes, International Journal of Knowledge-Based and Intelligent Engineering Systems and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer of a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Knowledge-Based Systems, Information Sciences, International Journal of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in aggregation operators, decision making and computing with words.

Chen Xudong

X. Chen has a PhD degree in applied mathematics for business administration from school of Economics and Management at SouthWest Jiaotong University, China, respectively. He is a professor in the School of Accounting, Southwestern University of Finance and Economics, Chengdu, 610074, PR China. He is currently interested in finance analysis, decision making and computing with words.


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Keywords
multiple attribute group decision making (MAGDM) PLTSs MABAC algorithm entropy method cumulative prospect theory (CPT) location selection

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