Model for Network Security Service Provider Selection with probabilistic uncertain linguistic TODIM method based on prospect theory
Abstract
Choosing the optimal network security service provider (NSSP) is a very important part of enterprise management decision. And the choice of NSSP is a typical multiple attribute group decision making (MAGDM) issue. In order to provide a better decision method for MAGDM problems, this paper integrates the TODIM method and the probabilistic uncertainty linguistic term set (PULTS), so as to propose the probabilistic uncertain linguistic TODIM model based on the prospect theory (PT-PUL-TODIM). The model combines the advantages of the prospect theory and TODIM method. In the end, a case study concerning NSSP selection problem is given to demonstrate the merits of the developed methods.
First published online 31 March 2022
Keyword : multiple attribute group decision making (MAGDM), probabilistic uncertain linguistic term set, TODIM, prospect theory, Network Security Service Providers Selection
How to Cite
Zhao, M., Gao, H., Wei, G., Wei, C., & Guo, Y. (2022). Model for Network Security Service Provider Selection with probabilistic uncertain linguistic TODIM method based on prospect theory. Technological and Economic Development of Economy, 28(3), 638–654. https://doi.org/10.3846/tede.2022.16483
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
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Ashofteh, P. S., Golfam, P., & Loaiciga, H. A. (2020). Evaluation of river water transfer alternatives with the TODIM multi-criteria decision making method. Water Resources Management, 34, 4847–4863. https://doi.org/10.1007/s11269-020-02694-2
Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96. https://doi.org/10.1016/S0165-0114(86)80034-3
Bashir, Z., Ali, J., & Rashid, T. (2021). Consensus-based robust decision making methods under a novel study of probabilistic uncertain linguistic information and their application in Forex investment. Artificial Intelligence Review, 54, 2091–2132. https://doi.org/10.1007/s10462-020-09900-y
Cuong, B. C. (2014). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30(4), 409–420. https://doi.org/10.15625/1813-9663/30/4/5032
Du, Y. F., & Liu, D. (2021). A novel approach for probabilistic linguistic multiple attribute decision making based on dual Muirhead mean operators and VIKOR. International Journal of Fuzzy Systems, 23, 243–261. https://doi.org/10.1007/s40815-020-00897-8
Gomes, L., & Rangel, L. A. D. (2009). An application of the TODIM method to the multicriteria rental evaluation of residential properties. European Journal of Operational Research, 193(1), 204–211. https://doi.org/10.1016/j.ejor.2007.10.046
Hashemkhani Zolfani, S., & Saparauskas, J. (2013). New application of SWARA method in prioritizing sustainability assessment indicators of energy system. Inzinerine Ekonomika-Engineering Economics, 24(5), 408–414. https://doi.org/10.5755/j01.ee.24.5.4526
He, T., Wei, G., Lu, J., Wu, J., Wei, C., & Guo, Y. (2020a). A novel EDAS based method for multiple attribute group decision making with Pythagorean 2-tuple linguistic information. Technological and Economic Development of Economy, 26(6), 1125–1138. https://doi.org/10.3846/tede.2020.12733
He, T. T., Wei, G. W., Lin, R., Lu, J. P., Wei, C., & Wu, J. (2020b). Pythagorean interval 2-tuple linguistic VIKOR method for evaluating human factors in construction project management. Iranian Journal of Fuzzy Systems, 17(6), 93–105.
He, Y., Lei, F., Wei, G. W., Wang, R., Wu, J., & Wei, C. (2019). EDAS method for multiple attribute group decision making with probabilistic uncertain linguistic information and its application to green supplier selection. International Journal of Computational Intelligence Systems, 12(2), 1361–1370. https://doi.org/10.2991/ijcis.d.191028.001
Huang, Y., Lin, R., & Chen, X. (2021). An enhancement EDAS method based on Prospect Theory. Technological and Economic Development of Economy, 27(5), 1019–1038. https://doi.org/10.3846/tede.2021.15038
Jiang, Z., Wei, G., & Chen, X. (2022). EDAS method based on cumulative prospect theory for multiple attribute group decision-making under picture fuzzy environment. Journal of Intelligent & Fuzzy Systems, 42(3), 1723–1735. https://doi.org/10.3233/JIFS-211171
Ju, Y. B., Liang, Y. Y., Luo, C., Dong, P. W., Gonzalez, E., & Wang, A. H. (2021). T-spherical fuzzy TODIM method for multi-criteria group decision-making problem with incomplete weight information. Soft Computing, 25, 2981–3001. https://doi.org/10.1007/s00500-020-05357-x
Kahneman, D., & Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47(2), 263–291. https://doi.org/10.2307/1914185
Kahneman, T. (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297–323. https://doi.org/10.1007/BF00122574
Keshavarz Ghorabaee, M., Zavadskas, E. K., Olfat, L., & Turskis, Z. (2015). Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica, 26(3), 435–451. https://doi.org/10.15388/Informatica.2015.57
Keshavarz Ghorabaee, M., Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2016). A new combinative distance-based assessment (CODAS) method for multi-criteria decision-making. Economic Computation and Economic Cybernetics Studies and Research, 50, 25–44.
Lei, F., Wei, G., Shen, W., & Guo, Y. (2022). PDHL-EDAS method for multiple attribute group decision making and its application to 3D printer selection. Technological and Economic Development of Economy, 28(1), 179–200. https://doi.org/10.3846/tede.2021.15884
Lei, F., Wei, G. W., Wu, J., Wei, C., & Guo, Y. F. (2020). QUALIFLEX method for MAGDM with probabilistic uncertain linguistic information and its application to green supplier selection. Journal of Intelligent & Fuzzy Systems, 39(5), 6819–6831. https://doi.org/10.3233/JIFS-191737
Li, M., Li, Y., Peng, Q. J., Wang, J., & Yu, C. X. (2021). Evaluating community question-answering websites using interval-valued intuitionistic fuzzy DANP and TODIM methods. Applied Soft Computing, 99, 106918. https://doi.org/10.1016/j.asoc.2020.106918
Liao, N., Wei, G., & Chen, X. (2021). TODIM method based on cumulative prospect theory for multiple attributes group decision making under probabilistic hesitant fuzzy setting. International Journal of Fuzzy Systems. https://doi.org/10.1007/s40815-021-01138-2
Lin, M. W., Xu, Z. S., Zhai, Y. L., & Yao, Z. Q. (2018). Multi-attribute group decision-making under probabilistic uncertain linguistic environment. Journal of the Operational Research Society, 69(2), 157–170. https://doi.org/10.1057/s41274-017-0182-y
Liu, D. H., Luo, Y., & Liu, Z. M. (2020a). The linguistic picture fuzzy set and its application in multi-criteria decision-making: An illustration to the TOPSIS and TODIM methods based on entropy weight. Symmetry-Basel, 12(7), 1170. https://doi.org/10.3390/sym12071170
Liu, P. D., Xu, H. X., & Geng, Y. S. (2020b). Normal wiggly hesitant fuzzy linguistic power Hamy mean aggregation operators and their application to multi-attribute decision-making. Computers & Industrial Engineering, 140, 106224. https://doi.org/10.1016/j.cie.2019.106224
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, S. Z., & Liang, W. Z. (2021). A hybrid TODIM approach with unknown weight information for the performance evaluation of cleaner production. Computational & Applied Mathematics, 40, 23. https://doi.org/10.1007/s40314-020-01401-6
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
Nie, R. X., & Wang, J. Q. (2020). Prospect theory-based consistency recovery strategies with multiplicative probabilistic linguistic preference relations in managing group decision making. Arabian Journal for Science and Engineering, 45, 2113–2130. https://doi.org/10.1007/s13369-019-04053-9
Opricovic, S., & Tzeng, G. H. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445–455. https://doi.org/10.1016/S0377-2217(03)00020-1
Pamucar, D., & Cirovic, G. (2015). The selection of transport and handling resources in logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC). Expert Systems with Applications, 42(6), 3016–3028. https://doi.org/10.1016/j.eswa.2014.11.057
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, 24, 202–215. https://doi.org/10.1007/s40815-021-01125-7
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/s40815-021-01184-w
Tabatabaei, M. H., Amiri, M., Firouzabadi, S., Ghahremanloo, M., Keshavarz-Ghorabaee, M., & Saparauskas, J. (2019). A new group decision-making model based on BWM and its application to managerial problems. Transformations in Business & Economics, 18(2), 197–214.
Tian, X. L., Niu, M. L., Ma, J. S., & Xu, Z. S. (2020). A novel TODIM with probabilistic hesitant fuzzy information and its application in green supplier selection. Complexity, 2020, 2540798. https://doi.org/10.1155/2020/2540798
Tian, X. L., Xu, Z. S., & Gu, J. (2019). An extended TODIM based on cumulative prospect theory and its application in venture capital. Informatica, 30(2), 413–429. https://doi.org/10.15388/Informatica.2019.212
Wang, S., Wei, G., Lu, J., Wu, J., Wei, C., & Chen, X. (2022). GRP and CRITIC method for probabilistic uncertain linguistic MAGDM and its application to site selection of hospital constructions. Soft Computing, 26, 237–251. https://doi.org/10.1007/s00500-021-06429-2
Wei, G., Lei, F., Lin, R., Wang, R., Wei, Y., Wu, J., & Wei, C. (2020a). Algorithms for probabilistic uncertain linguistic multiple attribute group decision making based on the GRA and CRITIC method: Application to location planning of electric vehicle charging stations. Economic Research-Ekonomska Istrazivanja, 33(1), 828–846. https://doi.org/10.1080/1331677X.2020.1734851
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. https://doi.org/10.1007/s00500-021-05842-x
Wei, G., Wei, C., Wu, J., & Guo, Y. (2021b). Probabilistic linguistic multiple attribute group decision making for location planning of electric vehicle charging stations based on the generalized Dice similarity measures. Artificial Intelligence Review, 54, 4137–4167. https://doi.org/10.1007/s10462-020-09950-2
Wei, G. W., He, Y., Lei, F., Wu, J., & Wei, C. (2020b). MABAC method for multiple attribute group decision making with probabilistic uncertain linguistic information. Journal of Intelligent & Fuzzy Systems, 39(3), 3315–3327. https://doi.org/10.3233/JIFS-191688
Wu, Q., Liu, X. W., Qin, J. D., Wang, W. Z., & Zhou, L. G. (2021). A linguistic distribution behavioral multi-criteria group decision making model integrating extended generalized TODIM and quantum decision theory. Applied Soft Computing, 98, 106757. https://doi.org/10.1016/j.asoc.2020.106757
Wu, Y. N., Liao, M. J., Hu, M. Y., Lin, J. W., Zhou, J. L., Zhang, B. Y., & Xu, C. B. (2020). A decision framework of low-speed wind farm projects in hilly areas based on DEMATEL-entropy-TODIM method from the sustainability perspective: A case in China. Energy, 213, 119014. https://doi.org/10.1016/j.energy.2020.119014
Xian, S. D., Wan, W. H., & Yang, Z. J. (2020). Interval-valued Pythagorean fuzzy linguistic TODIM based on PCA and its application for emergency decision. International Journal of Intelligent Systems, 35(12), 2049–2086. https://doi.org/10.1002/int.22284
Xie, W. Y., Ren, Z. L., Xu, Z. S., & Wang, H. (2018). The consensus of probabilistic uncertain linguistic preference relations and the application on the virtual reality industry. Knowledge-Based Systems, 162, 14–28. https://doi.org/10.1016/j.knosys.2018.07.016
Yager, R. (2013, June 24–28). Pythagorean fuzzy subsets. In 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS). Edmonton, AB, Canada. IEEE. https://doi.org/10.1109/IFSA-NAFIPS.2013.6608375
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X
Zhang, D., Su, Y., Zhao, M., & Chen, X. (2022). CPT-TODIM method for interval neutrosophic MAGDM and its application to third-party logistics service providers selection. Technological and Economic Development of Economy, 28(1), 201–219. https://doi.org/10.3846/tede.2021.15758
Zhang, H., Wei, G., & Chen, X. (2022). SF-GRA method based on cumulative prospect theory for multiple attribute group decision making and its application to emergency supplies supplier selection. Engineering Applications of Artificial Intelligence, 110, 104679. https://doi.org/10.1016/j.engappai.2022.104679
Zhao, M., Wei, G., Chen, X., & Wei, Y. (2021a). Intuitionistic fuzzy MABAC method based on cumulative prospect theory for multiple attribute group decision making. International Journal of Intelligent Systems, 36(11), 6337–6359. https://doi.org/10.1002/int.22552
Zhao, M., Wei, G., 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, 1027–1041. https://doi.org/10.1007/s40815-020-00986-8
Ashofteh, P. S., Golfam, P., & Loaiciga, H. A. (2020). Evaluation of river water transfer alternatives with the TODIM multi-criteria decision making method. Water Resources Management, 34, 4847–4863. https://doi.org/10.1007/s11269-020-02694-2
Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96. https://doi.org/10.1016/S0165-0114(86)80034-3
Bashir, Z., Ali, J., & Rashid, T. (2021). Consensus-based robust decision making methods under a novel study of probabilistic uncertain linguistic information and their application in Forex investment. Artificial Intelligence Review, 54, 2091–2132. https://doi.org/10.1007/s10462-020-09900-y
Cuong, B. C. (2014). Picture fuzzy sets. Journal of Computer Science and Cybernetics, 30(4), 409–420. https://doi.org/10.15625/1813-9663/30/4/5032
Du, Y. F., & Liu, D. (2021). A novel approach for probabilistic linguistic multiple attribute decision making based on dual Muirhead mean operators and VIKOR. International Journal of Fuzzy Systems, 23, 243–261. https://doi.org/10.1007/s40815-020-00897-8
Gomes, L., & Rangel, L. A. D. (2009). An application of the TODIM method to the multicriteria rental evaluation of residential properties. European Journal of Operational Research, 193(1), 204–211. https://doi.org/10.1016/j.ejor.2007.10.046
Hashemkhani Zolfani, S., & Saparauskas, J. (2013). New application of SWARA method in prioritizing sustainability assessment indicators of energy system. Inzinerine Ekonomika-Engineering Economics, 24(5), 408–414. https://doi.org/10.5755/j01.ee.24.5.4526
He, T., Wei, G., Lu, J., Wu, J., Wei, C., & Guo, Y. (2020a). A novel EDAS based method for multiple attribute group decision making with Pythagorean 2-tuple linguistic information. Technological and Economic Development of Economy, 26(6), 1125–1138. https://doi.org/10.3846/tede.2020.12733
He, T. T., Wei, G. W., Lin, R., Lu, J. P., Wei, C., & Wu, J. (2020b). Pythagorean interval 2-tuple linguistic VIKOR method for evaluating human factors in construction project management. Iranian Journal of Fuzzy Systems, 17(6), 93–105.
He, Y., Lei, F., Wei, G. W., Wang, R., Wu, J., & Wei, C. (2019). EDAS method for multiple attribute group decision making with probabilistic uncertain linguistic information and its application to green supplier selection. International Journal of Computational Intelligence Systems, 12(2), 1361–1370. https://doi.org/10.2991/ijcis.d.191028.001
Huang, Y., Lin, R., & Chen, X. (2021). An enhancement EDAS method based on Prospect Theory. Technological and Economic Development of Economy, 27(5), 1019–1038. https://doi.org/10.3846/tede.2021.15038
Jiang, Z., Wei, G., & Chen, X. (2022). EDAS method based on cumulative prospect theory for multiple attribute group decision-making under picture fuzzy environment. Journal of Intelligent & Fuzzy Systems, 42(3), 1723–1735. https://doi.org/10.3233/JIFS-211171
Ju, Y. B., Liang, Y. Y., Luo, C., Dong, P. W., Gonzalez, E., & Wang, A. H. (2021). T-spherical fuzzy TODIM method for multi-criteria group decision-making problem with incomplete weight information. Soft Computing, 25, 2981–3001. https://doi.org/10.1007/s00500-020-05357-x
Kahneman, D., & Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47(2), 263–291. https://doi.org/10.2307/1914185
Kahneman, T. (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297–323. https://doi.org/10.1007/BF00122574
Keshavarz Ghorabaee, M., Zavadskas, E. K., Olfat, L., & Turskis, Z. (2015). Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica, 26(3), 435–451. https://doi.org/10.15388/Informatica.2015.57
Keshavarz Ghorabaee, M., Zavadskas, E. K., Turskis, Z., & Antucheviciene, J. (2016). A new combinative distance-based assessment (CODAS) method for multi-criteria decision-making. Economic Computation and Economic Cybernetics Studies and Research, 50, 25–44.
Lei, F., Wei, G., Shen, W., & Guo, Y. (2022). PDHL-EDAS method for multiple attribute group decision making and its application to 3D printer selection. Technological and Economic Development of Economy, 28(1), 179–200. https://doi.org/10.3846/tede.2021.15884
Lei, F., Wei, G. W., Wu, J., Wei, C., & Guo, Y. F. (2020). QUALIFLEX method for MAGDM with probabilistic uncertain linguistic information and its application to green supplier selection. Journal of Intelligent & Fuzzy Systems, 39(5), 6819–6831. https://doi.org/10.3233/JIFS-191737
Li, M., Li, Y., Peng, Q. J., Wang, J., & Yu, C. X. (2021). Evaluating community question-answering websites using interval-valued intuitionistic fuzzy DANP and TODIM methods. Applied Soft Computing, 99, 106918. https://doi.org/10.1016/j.asoc.2020.106918
Liao, N., Wei, G., & Chen, X. (2021). TODIM method based on cumulative prospect theory for multiple attributes group decision making under probabilistic hesitant fuzzy setting. International Journal of Fuzzy Systems. https://doi.org/10.1007/s40815-021-01138-2
Lin, M. W., Xu, Z. S., Zhai, Y. L., & Yao, Z. Q. (2018). Multi-attribute group decision-making under probabilistic uncertain linguistic environment. Journal of the Operational Research Society, 69(2), 157–170. https://doi.org/10.1057/s41274-017-0182-y
Liu, D. H., Luo, Y., & Liu, Z. M. (2020a). The linguistic picture fuzzy set and its application in multi-criteria decision-making: An illustration to the TOPSIS and TODIM methods based on entropy weight. Symmetry-Basel, 12(7), 1170. https://doi.org/10.3390/sym12071170
Liu, P. D., Xu, H. X., & Geng, Y. S. (2020b). Normal wiggly hesitant fuzzy linguistic power Hamy mean aggregation operators and their application to multi-attribute decision-making. Computers & Industrial Engineering, 140, 106224. https://doi.org/10.1016/j.cie.2019.106224
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, S. Z., & Liang, W. Z. (2021). A hybrid TODIM approach with unknown weight information for the performance evaluation of cleaner production. Computational & Applied Mathematics, 40, 23. https://doi.org/10.1007/s40314-020-01401-6
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
Nie, R. X., & Wang, J. Q. (2020). Prospect theory-based consistency recovery strategies with multiplicative probabilistic linguistic preference relations in managing group decision making. Arabian Journal for Science and Engineering, 45, 2113–2130. https://doi.org/10.1007/s13369-019-04053-9
Opricovic, S., & Tzeng, G. H. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445–455. https://doi.org/10.1016/S0377-2217(03)00020-1
Pamucar, D., & Cirovic, G. (2015). The selection of transport and handling resources in logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC). Expert Systems with Applications, 42(6), 3016–3028. https://doi.org/10.1016/j.eswa.2014.11.057
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, 24, 202–215. https://doi.org/10.1007/s40815-021-01125-7
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/s40815-021-01184-w
Tabatabaei, M. H., Amiri, M., Firouzabadi, S., Ghahremanloo, M., Keshavarz-Ghorabaee, M., & Saparauskas, J. (2019). A new group decision-making model based on BWM and its application to managerial problems. Transformations in Business & Economics, 18(2), 197–214.
Tian, X. L., Niu, M. L., Ma, J. S., & Xu, Z. S. (2020). A novel TODIM with probabilistic hesitant fuzzy information and its application in green supplier selection. Complexity, 2020, 2540798. https://doi.org/10.1155/2020/2540798
Tian, X. L., Xu, Z. S., & Gu, J. (2019). An extended TODIM based on cumulative prospect theory and its application in venture capital. Informatica, 30(2), 413–429. https://doi.org/10.15388/Informatica.2019.212
Wang, S., Wei, G., Lu, J., Wu, J., Wei, C., & Chen, X. (2022). GRP and CRITIC method for probabilistic uncertain linguistic MAGDM and its application to site selection of hospital constructions. Soft Computing, 26, 237–251. https://doi.org/10.1007/s00500-021-06429-2
Wei, G., Lei, F., Lin, R., Wang, R., Wei, Y., Wu, J., & Wei, C. (2020a). Algorithms for probabilistic uncertain linguistic multiple attribute group decision making based on the GRA and CRITIC method: Application to location planning of electric vehicle charging stations. Economic Research-Ekonomska Istrazivanja, 33(1), 828–846. https://doi.org/10.1080/1331677X.2020.1734851
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. https://doi.org/10.1007/s00500-021-05842-x
Wei, G., Wei, C., Wu, J., & Guo, Y. (2021b). Probabilistic linguistic multiple attribute group decision making for location planning of electric vehicle charging stations based on the generalized Dice similarity measures. Artificial Intelligence Review, 54, 4137–4167. https://doi.org/10.1007/s10462-020-09950-2
Wei, G. W., He, Y., Lei, F., Wu, J., & Wei, C. (2020b). MABAC method for multiple attribute group decision making with probabilistic uncertain linguistic information. Journal of Intelligent & Fuzzy Systems, 39(3), 3315–3327. https://doi.org/10.3233/JIFS-191688
Wu, Q., Liu, X. W., Qin, J. D., Wang, W. Z., & Zhou, L. G. (2021). A linguistic distribution behavioral multi-criteria group decision making model integrating extended generalized TODIM and quantum decision theory. Applied Soft Computing, 98, 106757. https://doi.org/10.1016/j.asoc.2020.106757
Wu, Y. N., Liao, M. J., Hu, M. Y., Lin, J. W., Zhou, J. L., Zhang, B. Y., & Xu, C. B. (2020). A decision framework of low-speed wind farm projects in hilly areas based on DEMATEL-entropy-TODIM method from the sustainability perspective: A case in China. Energy, 213, 119014. https://doi.org/10.1016/j.energy.2020.119014
Xian, S. D., Wan, W. H., & Yang, Z. J. (2020). Interval-valued Pythagorean fuzzy linguistic TODIM based on PCA and its application for emergency decision. International Journal of Intelligent Systems, 35(12), 2049–2086. https://doi.org/10.1002/int.22284
Xie, W. Y., Ren, Z. L., Xu, Z. S., & Wang, H. (2018). The consensus of probabilistic uncertain linguistic preference relations and the application on the virtual reality industry. Knowledge-Based Systems, 162, 14–28. https://doi.org/10.1016/j.knosys.2018.07.016
Yager, R. (2013, June 24–28). Pythagorean fuzzy subsets. In 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS). Edmonton, AB, Canada. IEEE. https://doi.org/10.1109/IFSA-NAFIPS.2013.6608375
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X
Zhang, D., Su, Y., Zhao, M., & Chen, X. (2022). CPT-TODIM method for interval neutrosophic MAGDM and its application to third-party logistics service providers selection. Technological and Economic Development of Economy, 28(1), 201–219. https://doi.org/10.3846/tede.2021.15758
Zhang, H., Wei, G., & Chen, X. (2022). SF-GRA method based on cumulative prospect theory for multiple attribute group decision making and its application to emergency supplies supplier selection. Engineering Applications of Artificial Intelligence, 110, 104679. https://doi.org/10.1016/j.engappai.2022.104679
Zhao, M., Wei, G., Chen, X., & Wei, Y. (2021a). Intuitionistic fuzzy MABAC method based on cumulative prospect theory for multiple attribute group decision making. International Journal of Intelligent Systems, 36(11), 6337–6359. https://doi.org/10.1002/int.22552
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