CPT-TODIM method for interval neutrosophic MAGDM and its application to third-party logistics service providers selection
Abstract
The multiple attribute group decision making (MAGDM) has always been a concern in the research field. In this article, we establish the interval neutrosophic TODIM method based on cumulative prospect theory (CPT-IN-TODIM) for MAGDM issue. This new developed CPTIN-TODIM method has markedly superiority in describing decision maker’s psychological states, which utilizes the weight function to adjust weighting attributes distinguishing from the classical TODIM method. Then, this new developed method has been applied to select the third-party logistics service providers and been expound on the disparity with existing methods. Finally, the results of contrastive analysis indicate that this new developed method can lead to the appropriate conclusion and sticks out the differences between alternatives to provide clearer direction. Hence, the new developed CPT-IN-TODIM method is reliable and valid.
First published online 19 November 2021
Keyword : multiple attribute group decision making (MAGDM), interval neutrosophic sets, TODIM, cumulative prospect theory, third-party logistics service providers
How to Cite
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
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Awang, A., Aizam, N. A. H., Ab Ghani, A. T., Othman, M., & Abdullah, L. (2020). A normalized weighted bonferroni mean aggregation operator considering shapley fuzzy measure under interval-valued neutrosophic environment for decision-making. International Journal of Fuzzy Sys-tems, 22, 321–336. https://doi.org/10.1007/s40815-019-00752-5
Biswas, P., Pramanik, S., & Giri, B. C. (2016). TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic envi-ronment. Neural Computing & Applications, 27, 727–737. https://doi.org/10.1007/s00521-015-1891-2
Chen, S. M., Yang, M. W., Lee, L. W., & Yang, S. W. (2012). Fuzzy multiple attributes group decision-making based on ranking interval type-2 fuzzy sets. Expert Systems with Applications, 39(5), 5295–5308. https://doi.org/10.1016/j.eswa.2011.11.008
Duong, T. T. T., Phong, L. T., Hoi, L. Q., & Thao, N. X. (2020). A novel model based on similarity measure and quality function deployment on interval neutrosophic sets for evaluation and selection market segments. Journal of Intelligent & Fuzzy Systems, 38(4), 5203–5214. https://doi.org/10.3233/JIFS-191790
Fan, J. P., Li, D. D., & Wu, M. Q. (2021). An extended TODIM method with unknown weight information under interval-valued neutrosophic environment for FMEA. International Journal of Computational Intelligence Systems, 14(1), 174–186. https://doi.org/10.2991/ijcis.d.201109.003
Flavio, A., & Gonzℑlez, X. (2012). Behavioral multi-criteria decision analysis: Further elaborations on the todim method. Foundations of Compu-ting Decision Sciences, 37(1), 3–8. https://doi.org/10.2478/v10209-011-0001-1
Garg, H., & Nancy. (2020). Multiple attribute decision making based on immediate probabilities aggregation operators for single-valued and inter-val neutrosophic sets. Journal of Applied Mathematics and Computing, 63, 619–653. https://doi.org/10.1007/s12190-020-01332-9
Gomes, L. F. A. M., & Lima, M. M. P. P. (1979). TODIM: Basics and application to multicriteria ranking of projects with environmental impacts. Foundations of Computing and Decision Sciences, 16, 113–127.
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
Ji, X. N., Yu, L. X., & Fu, J. P. (2020). Evaluating personal default risk in P2P lending platform: Based on dual hesitant Pythagorean fuzzy TODIM approach. Mathematics, 8(1), 8. https://doi.org/10.3390/math8010008
Kahraman, C., Oztaysi, B., & Onar, S. C. (2020). Single & interval-valued neutrosophic AHP methods: Performance analysis of outsourcing law firms. Journal of Intelligent & Fuzzy Systems, 38(1), 749–759. https://doi.org/10.3233/JIFS-179446
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
Kahneman, D., & Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47(2), 263–291. https://doi.org/10.2307/1914185
Keshavarz-Ghorabaee, M., Govindan, K., Amiri, M., Zavadskas, E. K., & Antucheviciene, J. (2019). An integrated Type-2 fuzzy decision model based on WASPAS and SECA for evaluation of sustainable manufacturing strategies. Journal of Environmental Engineering and Landscape Management, 27(4), 187–200. https://doi.org/10.3846/jeelm.2019.11367
Kim, S. H., Choi, S. H., & Kim, J. K. (1999). An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach. European Journal of Operational Research, 118(1), 139–152. https://doi.org/10.1016/S0377-2217(98)00309-9
Lei, F., Wei, G., & Chen, X. (2021). Model-based evaluation for online shopping platform with probabilistic double hierarchy linguistic CODAS method. International Journal of Intelligent Systems, 36(9), 5339–5358. https://doi.org/10.1002/int.22514
Liang, Y. Y., Tu, Y., Ju, Y. B., & Shen, W. J. (2019). A multi-granularity proportional hesitant fuzzy linguistic TODIM method and its application to emergency decision making. International Journal of Disaster Risk Reduction, 36, 101081. https://doi.org/10.1016/j.ijdrr.2019.101081
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
Liu, D. H., Liu, Y. Y., & Wang, L. Z. (2019). Distance measure for Fermatean fuzzy linguistic term sets based on linguistic scale function: An illustration of the TODIM and TOPSIS methods. International Journal of Intelligent Systems, 34(11), 2807–2834. https://doi.org/10.1002/int.22162
Liu, P. D., & Teng, F. (2019). Probabilistic linguistic TODIM method for selecting products through online product reviews. Information Sciences, 485, 441–455. https://doi.org/10.1016/j.ins.2019.02.022
Meng, F. Y., Wang, N., & Xu, Y. W. (2019). Interval neutrosophic preference relations and their application in virtual enterprise partner selection. Journal of Ambient Intelligence and Humanized Computing, 10, 5007–5036. https://doi.org/10.1007/s12652-019-01178-5
Nafei, A. H., Yuan, W. J., & Nasseri, H. (2019). Group multi-attribute decision making based on interval neutrosophic sets. Studies in Informatics and Control, 28(3), 309–316. https://doi.org/10.24846/v28i3y201907
Nie, S., Liao, H. C., Wu, X. L., & Xu, Z. S. (2019). Green supplier selection with a continuous interval-valued linguistic TODIM method. IEEE Access, 7, 124315–124328. https://doi.org/10.1109/ACCESS.2019.2937994
Pramanik, S., Dalapati, S., Alam, S., & Roy, T. K. (2016). TODIM method for group decision making under bipolar neutrosophic set environment. In F. Smarandache & S. Pramanik (Eds.), New trends in neutrosophic theory and applications (vol. II, pp. 140–155). Infinite Study.
Pramanik, S., & Mallick, R. (2019). TODIM strategy for multi-attribute group decision making in trapezoidal neutrosophic number environment. Complex & Intelligent Systems, 5, 379–389. https://doi.org/10.1007/s40747-019-0110-7
Pramanik, S., Dalapati, S., Alam, S., & Roy, T. K. (2017). NC-TODIM-based MAGDM under a neutrosophic cubic set environment. Information, 8(4), 149. https://doi.org/10.3390/info8040149
Pramanik, S., Dalapati, S., Alam, S., & Roy, T. K. (2018). NC-VIKOR based MAGDM strategy under neutrosophic cubic set environment. Neu-trosophic Sets and Systems, 20, 95–108. https://www.researchgate.net/publication/324844596_NC-VIKOR_Based_MAGDM_Strategy_under_Neutrosophic_Cubic_Set_Environment_Neutrosophic_Sets_and_Systems_vol_20_2018_pp_95-108
Sahin, R. (2017). Cross-entropy measure on interval neutrosophic sets and its applications in multicriteria decision making. Neural Computing & Applications, 28, 1177–1187. https://doi.org/10.1007/s00521-015-2131-5
Smarandache, F. (2002). A unifying field in logics: Neutrosophic logic. Multiple-Valued Logic, 8, 13–19.
Su, Y., Zhao, M., Wei, C., & Chen, X. (2021). PT-TODIM method for probabilistic linguistic MAGDM and application to industrial control sys-tem security supplier selection. International Journal of Fuzzy Systems. https://doi.org/10.1007/s40815-021-01125-7
Tang, G. (2016). Approaches for relational multiple attribute decision making with interval neutrosophic numbers based on Choquet Integral [Master Thesis]. Shandong University of Finance and Economics. Jinan, China.
Tian, X. L., Xu, Z. S., & Gu, J. (2019). An extended TODIM based on cumulative prospect theory and its application in venture capital. Informat-ica, 30(2), 413–429. https://doi.org/10.15388/Informatica.2019.212
Wang, H., Smarandache, F., Zhang, Y., & Sunderraman, R. (2004). Interval neutrosophic logics: Theory and applications, 1–21. arXiv:cs/0410056v2
Wang, H., Smarandache, F., Zhang, Y. Q., & Sunderraman, R. (2005). Interval neutrosophic sets and logic: Theory and applications in compu-ting. Hexis. https://digitalrepository.unm.edu/math_fsp/38
Wang, H., Smarandache, F., Zhang, Y. Q., & Sunderraman, R. (2010). Single valued neutrosophic sets. Multispace Multistruct, 10, 410–413. http://fs.unm.edu/SingleValuedNeutrosophicSets.pdf
Wang, J., Gao, H., & Lu, M. (2019). Approaches to strategic supplier selection under interval neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37(2), 1707–1730. https://doi.org/10.3233/JIFS-179235
Wang, T. J. (2020). The projection model with unknown weight information under interval neutrosophic environment and its application to soft-ware quality-in-use evaluation. Mathematical Problems in Engineering, 2020, 7279420. https://doi.org/10.1155/2020/7279420
Wei, G., Wei, C., Wu, J., & Guo, Y. (2021). 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
Wu, H. B., Yuan, Y., Wei, L. J., & Pei, L. D. (2018). On entropy, similarity measure and cross-entropy of single-valued neutrosophic sets and their application in multi-attribute decision making. Soft Computing, 22, 7367–7376. https://doi.org/10.1007/s00500-018-3073-5
Xu, D. S., Wei, C., & Wei, G. W. (2017). TODIM method for single-valued neutrosophic multiple attribute decision making. Information, 8(4), 125. https://doi.org/10.3390/info8040125
Xu, Z. S., & Chen, J. (2007). An interactive method for fuzzy multiple attribute group decision making. Information Sciences, 177(1), 248–263. https://doi.org/10.1016/j.ins.2006.03.001
Yang, L. H., Li, D. M., & Tan, R. P. (2020). Research on the shortest path solution method of interval valued neutrosophic graphs based on the ant colony Algorithm. IEEE Access, 8, 88717–88728. https://doi.org/10.1109/ACCESS.2020.2990912
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X
Zhang, Y. X., Xu, Z. S., & Liao, H. C. (2019). Water security evaluation based on the TODIM method with probabilistic linguistic term sets. Soft Computing, 23, 6215–6230. https://doi.org/10.1007/s00500-018-3276-9
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., Guo, Y., & Chen, X. (2021b). CPT-TODIM method for interval-valued bipolar fuzzy multiple attribute group decision making and application to industrial control security service provider selection. Technological and Economic Development of Economy, 27(5), 1186–1206. https://doi.org/10.3846/tede.2021.15044
Zhao, M. W., Wei, G. W., Wei, C., & Wu, J. (2021c). Improved TODIM method for intuitionistic fuzzy MAGDM based on cumulative prospect theory and its application on stock investment selection. International Journal of Machine Learning and Cybernetics, 12, 891–901. https://doi.org/10.1007/s13042-020-01208-1
Zhao, M. W., Wei, G. W., Wei, C., Wu, J., & Wei, Y. (2021d). Extended CPT-TODIM method for interval-valued intuitionistic fuzzy MAGDM and its application to urban ecological risk assessment. Journal of Intelligent & Fuzzy Systems, 40(3), 4091–4106. https://doi.org/10.3233/JIFS-200534
Biswas, P., Pramanik, S., & Giri, B. C. (2016). TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic envi-ronment. Neural Computing & Applications, 27, 727–737. https://doi.org/10.1007/s00521-015-1891-2
Chen, S. M., Yang, M. W., Lee, L. W., & Yang, S. W. (2012). Fuzzy multiple attributes group decision-making based on ranking interval type-2 fuzzy sets. Expert Systems with Applications, 39(5), 5295–5308. https://doi.org/10.1016/j.eswa.2011.11.008
Duong, T. T. T., Phong, L. T., Hoi, L. Q., & Thao, N. X. (2020). A novel model based on similarity measure and quality function deployment on interval neutrosophic sets for evaluation and selection market segments. Journal of Intelligent & Fuzzy Systems, 38(4), 5203–5214. https://doi.org/10.3233/JIFS-191790
Fan, J. P., Li, D. D., & Wu, M. Q. (2021). An extended TODIM method with unknown weight information under interval-valued neutrosophic environment for FMEA. International Journal of Computational Intelligence Systems, 14(1), 174–186. https://doi.org/10.2991/ijcis.d.201109.003
Flavio, A., & Gonzℑlez, X. (2012). Behavioral multi-criteria decision analysis: Further elaborations on the todim method. Foundations of Compu-ting Decision Sciences, 37(1), 3–8. https://doi.org/10.2478/v10209-011-0001-1
Garg, H., & Nancy. (2020). Multiple attribute decision making based on immediate probabilities aggregation operators for single-valued and inter-val neutrosophic sets. Journal of Applied Mathematics and Computing, 63, 619–653. https://doi.org/10.1007/s12190-020-01332-9
Gomes, L. F. A. M., & Lima, M. M. P. P. (1979). TODIM: Basics and application to multicriteria ranking of projects with environmental impacts. Foundations of Computing and Decision Sciences, 16, 113–127.
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
Ji, X. N., Yu, L. X., & Fu, J. P. (2020). Evaluating personal default risk in P2P lending platform: Based on dual hesitant Pythagorean fuzzy TODIM approach. Mathematics, 8(1), 8. https://doi.org/10.3390/math8010008
Kahraman, C., Oztaysi, B., & Onar, S. C. (2020). Single & interval-valued neutrosophic AHP methods: Performance analysis of outsourcing law firms. Journal of Intelligent & Fuzzy Systems, 38(1), 749–759. https://doi.org/10.3233/JIFS-179446
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
Kahneman, D., & Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47(2), 263–291. https://doi.org/10.2307/1914185
Keshavarz-Ghorabaee, M., Govindan, K., Amiri, M., Zavadskas, E. K., & Antucheviciene, J. (2019). An integrated Type-2 fuzzy decision model based on WASPAS and SECA for evaluation of sustainable manufacturing strategies. Journal of Environmental Engineering and Landscape Management, 27(4), 187–200. https://doi.org/10.3846/jeelm.2019.11367
Kim, S. H., Choi, S. H., & Kim, J. K. (1999). An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach. European Journal of Operational Research, 118(1), 139–152. https://doi.org/10.1016/S0377-2217(98)00309-9
Lei, F., Wei, G., & Chen, X. (2021). Model-based evaluation for online shopping platform with probabilistic double hierarchy linguistic CODAS method. International Journal of Intelligent Systems, 36(9), 5339–5358. https://doi.org/10.1002/int.22514
Liang, Y. Y., Tu, Y., Ju, Y. B., & Shen, W. J. (2019). A multi-granularity proportional hesitant fuzzy linguistic TODIM method and its application to emergency decision making. International Journal of Disaster Risk Reduction, 36, 101081. https://doi.org/10.1016/j.ijdrr.2019.101081
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
Liu, D. H., Liu, Y. Y., & Wang, L. Z. (2019). Distance measure for Fermatean fuzzy linguistic term sets based on linguistic scale function: An illustration of the TODIM and TOPSIS methods. International Journal of Intelligent Systems, 34(11), 2807–2834. https://doi.org/10.1002/int.22162
Liu, P. D., & Teng, F. (2019). Probabilistic linguistic TODIM method for selecting products through online product reviews. Information Sciences, 485, 441–455. https://doi.org/10.1016/j.ins.2019.02.022
Meng, F. Y., Wang, N., & Xu, Y. W. (2019). Interval neutrosophic preference relations and their application in virtual enterprise partner selection. Journal of Ambient Intelligence and Humanized Computing, 10, 5007–5036. https://doi.org/10.1007/s12652-019-01178-5
Nafei, A. H., Yuan, W. J., & Nasseri, H. (2019). Group multi-attribute decision making based on interval neutrosophic sets. Studies in Informatics and Control, 28(3), 309–316. https://doi.org/10.24846/v28i3y201907
Nie, S., Liao, H. C., Wu, X. L., & Xu, Z. S. (2019). Green supplier selection with a continuous interval-valued linguistic TODIM method. IEEE Access, 7, 124315–124328. https://doi.org/10.1109/ACCESS.2019.2937994
Pramanik, S., Dalapati, S., Alam, S., & Roy, T. K. (2016). TODIM method for group decision making under bipolar neutrosophic set environment. In F. Smarandache & S. Pramanik (Eds.), New trends in neutrosophic theory and applications (vol. II, pp. 140–155). Infinite Study.
Pramanik, S., & Mallick, R. (2019). TODIM strategy for multi-attribute group decision making in trapezoidal neutrosophic number environment. Complex & Intelligent Systems, 5, 379–389. https://doi.org/10.1007/s40747-019-0110-7
Pramanik, S., Dalapati, S., Alam, S., & Roy, T. K. (2017). NC-TODIM-based MAGDM under a neutrosophic cubic set environment. Information, 8(4), 149. https://doi.org/10.3390/info8040149
Pramanik, S., Dalapati, S., Alam, S., & Roy, T. K. (2018). NC-VIKOR based MAGDM strategy under neutrosophic cubic set environment. Neu-trosophic Sets and Systems, 20, 95–108. https://www.researchgate.net/publication/324844596_NC-VIKOR_Based_MAGDM_Strategy_under_Neutrosophic_Cubic_Set_Environment_Neutrosophic_Sets_and_Systems_vol_20_2018_pp_95-108
Sahin, R. (2017). Cross-entropy measure on interval neutrosophic sets and its applications in multicriteria decision making. Neural Computing & Applications, 28, 1177–1187. https://doi.org/10.1007/s00521-015-2131-5
Smarandache, F. (2002). A unifying field in logics: Neutrosophic logic. Multiple-Valued Logic, 8, 13–19.
Su, Y., Zhao, M., Wei, C., & Chen, X. (2021). PT-TODIM method for probabilistic linguistic MAGDM and application to industrial control sys-tem security supplier selection. International Journal of Fuzzy Systems. https://doi.org/10.1007/s40815-021-01125-7
Tang, G. (2016). Approaches for relational multiple attribute decision making with interval neutrosophic numbers based on Choquet Integral [Master Thesis]. Shandong University of Finance and Economics. Jinan, China.
Tian, X. L., Xu, Z. S., & Gu, J. (2019). An extended TODIM based on cumulative prospect theory and its application in venture capital. Informat-ica, 30(2), 413–429. https://doi.org/10.15388/Informatica.2019.212
Wang, H., Smarandache, F., Zhang, Y., & Sunderraman, R. (2004). Interval neutrosophic logics: Theory and applications, 1–21. arXiv:cs/0410056v2
Wang, H., Smarandache, F., Zhang, Y. Q., & Sunderraman, R. (2005). Interval neutrosophic sets and logic: Theory and applications in compu-ting. Hexis. https://digitalrepository.unm.edu/math_fsp/38
Wang, H., Smarandache, F., Zhang, Y. Q., & Sunderraman, R. (2010). Single valued neutrosophic sets. Multispace Multistruct, 10, 410–413. http://fs.unm.edu/SingleValuedNeutrosophicSets.pdf
Wang, J., Gao, H., & Lu, M. (2019). Approaches to strategic supplier selection under interval neutrosophic environment. Journal of Intelligent & Fuzzy Systems, 37(2), 1707–1730. https://doi.org/10.3233/JIFS-179235
Wang, T. J. (2020). The projection model with unknown weight information under interval neutrosophic environment and its application to soft-ware quality-in-use evaluation. Mathematical Problems in Engineering, 2020, 7279420. https://doi.org/10.1155/2020/7279420
Wei, G., Wei, C., Wu, J., & Guo, Y. (2021). 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
Wu, H. B., Yuan, Y., Wei, L. J., & Pei, L. D. (2018). On entropy, similarity measure and cross-entropy of single-valued neutrosophic sets and their application in multi-attribute decision making. Soft Computing, 22, 7367–7376. https://doi.org/10.1007/s00500-018-3073-5
Xu, D. S., Wei, C., & Wei, G. W. (2017). TODIM method for single-valued neutrosophic multiple attribute decision making. Information, 8(4), 125. https://doi.org/10.3390/info8040125
Xu, Z. S., & Chen, J. (2007). An interactive method for fuzzy multiple attribute group decision making. Information Sciences, 177(1), 248–263. https://doi.org/10.1016/j.ins.2006.03.001
Yang, L. H., Li, D. M., & Tan, R. P. (2020). Research on the shortest path solution method of interval valued neutrosophic graphs based on the ant colony Algorithm. IEEE Access, 8, 88717–88728. https://doi.org/10.1109/ACCESS.2020.2990912
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X
Zhang, Y. X., Xu, Z. S., & Liao, H. C. (2019). Water security evaluation based on the TODIM method with probabilistic linguistic term sets. Soft Computing, 23, 6215–6230. https://doi.org/10.1007/s00500-018-3276-9
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., Guo, Y., & Chen, X. (2021b). CPT-TODIM method for interval-valued bipolar fuzzy multiple attribute group decision making and application to industrial control security service provider selection. Technological and Economic Development of Economy, 27(5), 1186–1206. https://doi.org/10.3846/tede.2021.15044
Zhao, M. W., Wei, G. W., Wei, C., & Wu, J. (2021c). Improved TODIM method for intuitionistic fuzzy MAGDM based on cumulative prospect theory and its application on stock investment selection. International Journal of Machine Learning and Cybernetics, 12, 891–901. https://doi.org/10.1007/s13042-020-01208-1
Zhao, M. W., Wei, G. W., Wei, C., Wu, J., & Wei, Y. (2021d). Extended CPT-TODIM method for interval-valued intuitionistic fuzzy MAGDM and its application to urban ecological risk assessment. Journal of Intelligent & Fuzzy Systems, 40(3), 4091–4106. https://doi.org/10.3233/JIFS-200534