A review of multiple criteria sorting methods: bibliometrics, characteristics, applications and prospects

References

• Almeida-Dias, J., Figueira, J. R., & Roy, B. (2010). ELECTRE TRI-C: A multiple criteria sorting method based on characteristic reference actions. European Journal of Operational Research, 204(3), 565–580. https://doi.org/10.1016/j.ejor.2009.10.018
   Web of Science ®Google Scholar
• Almeida-Dias, J., Figueira, J. R., & Roy, B. (2012). A multiple criteria sorting method where each category is characterized by several reference actions: The ELECTRE TRI-NC method. European Journal of Operational Research, 217(3), 567–579. https://doi.org/10.1016/j.ejor.2011.09.047
   Web of Science ®Google Scholar
• Alvarez, P. A., Ishizaka, A., & Martinez, L. (2021). Multiple-criteria decision-making sorting methods: A survey. Expert Systems with Applications, 183, 115368. https://doi.org/10.1016/j.eswa.2021.115368
   Web of Science ®Google Scholar
• Amor, S. B., Belaid, F., Benkraiem, R., Ramdani, B., & Guesmi, K. (2023). Multi-criteria classification, sorting, and clustering: A bibliometric review and research agenda. Annals of Operations Research, 325(2), 771–793. https://doi.org/10.1007/s10479-022-04986-9
   Web of Science ®Google Scholar
• Angilella, S., Corrente, S., Greco, S., & Słowiński, R. (2016). Robust ordinal regression and stochastic multi-objective acceptability analysis in multiple criteria hierarchy process for the Choquet integral preference model. Omega, 63, 154–169. https://doi.org/10.1016/j.omega.2015.10.010
   Web of Science ®Google Scholar
• Araz, C. E., & Ozkarahan, I. (2007). Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure. International Journal of Production Economics, 106(2), 585–606. https://doi.org/10.1016/j.ijpe.2006.08.008
   Web of Science ®Google Scholar
• Belahcène, K., Mousseau, V., Ouerdane, W., Pirlot, M., & Sobrie, O. (2023). Multiple criteria sorting models and methods—Part I: Survey of the literature. 4OR, 21(1), 1–46. https://doi.org/10.1007/s10288-022-00530-4
   Google Scholar
• Bell, D. E. (1982). Regret in decision making under uncertainty. Operations Research, 30(5), 961–981. https://doi.org/10.1287/opre.30.5.961
   Web of Science ®Google Scholar
• Bell, D. E. (1985). Disappointment in decision making under uncertainty. Operations Research, 33(1), 1–27. https://doi.org/10.1287/opre.33.1.1
   Web of Science ®Google Scholar
• Błaszczyński, J., Greco, S., & Słowinski, R. (2007). Multi-criteria classification-A new scheme for application of dominance-based decision rules. European Journal of Operational Research, 181(3), 1030–1044. https://doi.org/10.1016/j.ejor.2006.03.004
   Web of Science ®Google Scholar
• Cavalcante de Souza Feitosa, I. S., Ribeiro Carpinetti, L. C., & de Almeida-Filho, A. T. (2021). A supply chain risk management maturity model and a multi-criteria classification approach. Benchmarking: An International Journal, 28(9), 2636–2655. https://doi.org/10.1108/BIJ-09-2020-0487
   Web of Science ®Google Scholar
• Chai, J., Su, Y., & Lu, S. (2023). Linguistic Z-number preference relation for group decision making and its application in digital transformation assessment of SMEs. Expert Systems with Applications, 213, 118749. https://doi.org/10.1016/j.eswa.2022.118749
   Web of Science ®Google Scholar
• Cheng, R., Zhang, J., & Kang, B. (2022). A novel Z-TOPSIS method based on improved distance measure of Z-numbers. International Journal of Fuzzy Systems, 24(6), 2813–2830. https://doi.org/10.1007/s40815-022-01297-w
   Web of Science ®Google Scholar
• De Lima Silva, D. F., & De Almeida Filho, A. T. (2020). Sorting with TOPSIS through boundary and characteristic profiles. Computers and Industrial Engineering, 141, 106328. https://doi.org/10.1016/j.cie.2020.106328
   Web of Science ®Google Scholar
• De Lima Silva, D. F., Ferreira, L., & de Almeida Filho, A. T. (2023). Preference disaggregation on TOPSIS for sorting applied to an economic freedom assessment. Expert Systems with Applications, 215, 119341. https://doi.org/10.1016/j.eswa.2022.119341
   Web of Science ®Google Scholar
• Demir, L., Akpınar, M. E., Araz, C., & Ilgın, M. A. (2018). A green supplier evaluation system based on a new multi-criteria sorting method: VIKORSORT. Expert Systems with Applications, 114, 479–487.
   Web of Science ®Google Scholar
• Devaud, J. M., Groussaud, G., & Jacquet-Lagreze, E. (1980). UTADIS: Une méthode de construction de fonctions d’utilité additives rendant compte de jugements globaux. European Working Group on Multicriteria Decision Aid, Bochum, 94.
   Google Scholar
• Doumpos, M., & Zapounidis, C. (2004). A multicriteria classification approach based on pairwise comparisons. European Journal of Operational Research, 158(2), 378–389. https://doi.org/10.1016/j.ejor.2003.06.011
   Web of Science ®Google Scholar
• Emamat, M. S. M. M., Amiri, M., Mehregan, M. R., & Taghavifard, M. T. (2023). A novel hybrid simplified group BWM and multi-criteria sorting approach for stock portfolio selection. Expert Systems with Applications, 215, 119332. https://doi.org/10.1016/j.eswa.2022.119332
   Web of Science ®Google Scholar
• Faramondi, L., Oliva, G., Setola, R., & Bozóki, S. (2023). Characterizing ranking stability in interval pairwise comparison matrices. Journal of Control and Decision, 1–12. https://doi.org/10.1080/23307706.2023.2179551
   Google Scholar
• Fedia, R. D., & Hela, F. M. (2022). The intuitionistic fuzzy flowsort method for multicriteria group decision making. International Journal of Fuzzy System Applications, 11(1), 1–21. https://doi.org/10.4018/IJFSA.285554
   Google Scholar
• Furems, E. M. (2015). Stepclass-based approach to multicriteria sorting. Scientific and Technical Information Processing, 42(6), 481–489. https://doi.org/10.3103/S0147688215060064
   Google Scholar
• Greco, S., Matarazzo, B., & Słowinski, R. (2002). Rough sets methodology for sorting problems in presence of multiple attributes and criteria. European Journal of Operational Research, 138(2), 247–259. https://doi.org/10.1016/S0377-2217(01)00244-2
   Web of Science ®Google Scholar
• Greco, S., Matarazzo, B., & Słowinski, R. (2004). Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules. European Journal of Operational Research, 158(2), 271–292. https://doi.org/10.1016/j.ejor.2003.06.004
   Web of Science ®Google Scholar
• Greco, S., Matarazzo, B., & Słowiński, R. (2016). Decision Rule Approach. In S. Greco, M. Ehrgott, & J. Figueira (Eds.), Multiple Criteria Decision Analysis. International Series in Operations Research and Management Science (Vol. 233). New York, NY: Springer. https://doi.org/10.1007/978-1-4939-3094-4_13
   Google Scholar
• Gül, S. (2023). ARASsort: A new sorting based multiple attribute decision-making algorithm. Journal of Multi-Criteria Decision Analysis, 30(3-4), 93–108. https://doi.org/10.1002/mcda.1801
   Web of Science ®Google Scholar
• Ishizaka, A., & Gordon, M. (2017). MACBETHSort: A multiple criteria decision aid procedure for sorting strategic products. Journal of the Operational Research Society, 68(1), 53–61. https://doi.org/10.1057/s41274-016-0002-9
   Web of Science ®Google Scholar
• Ishizaka, A., Lolli, F., Balugani, E., Cavallieri, R., & Gamberini, R. (2018). DEASort: Assigning items with data envelopment analysis in ABC classes. International Journal of Production Economics, 199, 7–15. https://doi.org/10.1016/j.ijpe.2018.02.007
   Web of Science ®Google Scholar
• Ishizaka, A., Pearman, C., & Nemery, P. (2012). AHPSort: An AHP-based method for sorting problems. International Journal of Production Research, 50(17), 4767–4784. https://doi.org/10.1080/00207543.2012.657966
   Web of Science ®Google Scholar
• Ishizaka, A., & Pereira, V. (2020). Utilisation of ANPSort for sorting alternative with interdependent criteria illustrated through a researcher’s classification problem in an academic context. Soft Computing, 24(18), 13639–13650. https://doi.org/10.1007/s00500-019-04405-5
   Web of Science ®Google Scholar
• Jindal, A., & Sangwan, K. S. (2013). An integrated fuzzy multi-criteria evaluation of sustainable reverse logistics network models. In 2013 IEEE International Conference on Fuzzy Systems, Hyderabad, India, 7-10 July, 2013, 1-7.
   Google Scholar
• Kadziński, M., Ghaderi, M., & Dąbrowski, M. (2020). Contingent preference disaggregation model for multiple criteria sorting problem. European Journal of Operational Research, 281(2), 369–387. https://doi.org/10.1016/j.ejor.2019.08.043
   Web of Science ®Google Scholar
• Kadziński, M., Greco, S., & Słowiński, R. (2014). Robust ordinal regression for dominance-based rough set approach to multiple criteria sorting. Information Sciences, 283, 211–228. https://doi.org/10.1016/j.ins.2014.06.038
   Web of Science ®Google Scholar
• Kadziński, M., Słowiński, R., & Greco, S. (2016). Robustness analysis for decision under uncertainty with rule-based preference model. Information Sciences, 328, 321–339. https://doi.org/10.1016/j.ins.2015.07.062
   Web of Science ®Google Scholar
• Kahneman, D., & Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47(2), 263–292. https://doi.org/10.2307/1914185
   Web of Science ®Google Scholar
• Kahraman, C. (2022). Classification of non-pharmaceutical anti-COVID interventions based on novel FTOPSIS-sort models. In Intelligent and Fuzzy Systems: Digital Acceleration and The New Normal-Proceedings of the INFUS 2022 Conference, Volume 1, 4th International Conference on Intelligent and Fuzzy Systems (INFUS), Bornova, Turkey, 19-21 Jul, 2022, 504, 64.
   Google Scholar
• Küçükbay, F., & Sürücü, E. (2019). Corporate sustainability performance measurement based on a new multicriteria sorting method. Corporate Social Responsibility and Environmental Management, 26(3), 664–680. https://doi.org/10.1002/csr.1711
   Web of Science ®Google Scholar
• Labella, Á, Ishizaka, A., & Martínez, L. (2021). Consensual Group-AHPSort: Applying consensus to GAHPSort in sustainable development and industrial engineering. Computers & Industrial Engineering, 152, 107013. https://doi.org/10.1016/j.cie.2020.107013
   Web of Science ®Google Scholar
• Li, Y. H., Yue, S. T., Zheng, J., & Wang, W. W. (2023a). Customer-oriented product design: An integrated decision framework with sentiment analysis and optimization model. Journal of Control and Decision, 1–15. https://doi.org/10.1080/23307706.2022.2146607
   Google Scholar
• Li, Z., & Zhang, Z. (2023). Threshold-based value-driven method to support consensus reaching in multicriteria group sorting problems: A minimum adjustment perspective. IEEE Transactions on Computational Social Systems. https://doi.org/10.1109/TCSS.2023.3251351
   PubMed Web of Science ®Google Scholar
• Li, Z., Zhang, Z., & Yu, W. (2023b). Consensus reaching for ordinal classification-based group decision making with heterogeneous preference information. Journal of the Operational Research Society, 1–22. https://doi.org/10.1080/01605682.2023.2186806
   Web of Science ®Google Scholar
• Liao, H., Lu, K., & Jiang, L. (2023). Learning the thresholds in the ORESTE method from historical preference information. Journal of the Operational Research Society, 74(11), 2403–2417. https://doi.org/10.1080/01605682.2022.2150574
   Web of Science ®Google Scholar
• Liao, H. C., & Wen, Z. (2023). Capturing attitudinal characteristics of decision makers in multi-criterion sorting problems for performance evaluation of sustainable and circular suppliers. Annals of Operations Research, 1–26. https://doi.org/10.1007/s10479-023-05441-z
   Web of Science ®Google Scholar
• Liu, F., Liao, H. C., Wu, X. L., & Al-Barakati, A. (2023). Evaluating Internet hospitals by a linguistic Z-number-based gained and lost dominance score method considering different risk preferences of experts. Information Sciences, 630, 647–668. https://doi.org/10.1016/j.ins.2023.02.061
   Web of Science ®Google Scholar
• Liu, J. P., Liao, X. W., Kadzinski, M., & Slowinski, R. (2019). Preference disaggregation within the regularization framework for sorting problems with multiple potentially non-monotonic criteria. European Journal of Operational Research, 276(3), 1071–1089. https://doi.org/10.1016/j.ejor.2019.01.058
   Web of Science ®Google Scholar
• Liu, Y., Li, Y., Zhang, Z., Xu, Y., & Dong, Y. (2022). Classification-based strategic weight manipulation in multiple attribute decision making. Expert Systems with Applications, 197, 116781. https://doi.org/10.1016/j.eswa.2022.116781
   Web of Science ®Google Scholar
• Meyer, P., & Olteanu, A. L. (2019). Handling imprecise and missing evaluations in multi-criteria majority-rule sorting. Computers & Operations Research, 110, 135–147. https://doi.org/10.1016/j.cor.2019.05.027
   Web of Science ®Google Scholar
• Miccoli, F., & Ishizaka, A. (2017). Sorting municipalities in Umbria according to the risk of wolf attacks with AHPSort II. Ecological Indicators, 73, 741–755. https://doi.org/10.1016/j.ecolind.2016.10.034
   Web of Science ®Google Scholar
• Moheimani, A., Ishizaka, A., Hosseini, S. M. H., & Mangla, S. K. (2023). Sorting radiology departments in a disaster management assessment with G-ARASsort. International Journal of Production Research, 1–24. https://doi.org/10.1080/00207543.2023.2232477
   Web of Science ®Google Scholar
• Mouhib, Y., & Frini, A. (2021). TSMAA-TRI: A temporal multi-criteria sorting approach under uncertainty. Journal of Multi-Criteria Decision Analysis, 28(3-4), 185–199. https://doi.org/10.1002/mcda.1742
   Web of Science ®Google Scholar
• Mousseau, V., & Slowinski, R. (1998). Inferring an ELECTRE TRI model from assignment examples. Journal of Global Optimization, 12(2), 157–174. https://doi.org/10.1023/A:1008210427517
   Web of Science ®Google Scholar
• Nemery, P., & Lamboray, C. (2008). FlowSort: A flow-based sorting method with limiting or central profiles. Top, 16(1), 90–113. https://doi.org/10.1007/s11750-007-0036-x
   Web of Science ®Google Scholar
• Ocampo, L., Tanaid, R. A., Tiu, A. M., Selerio Jr, E., & Yamagishi, K. (2021). Classifying the degree of exposure of customers to COVID-19 in the restaurant industry: A novel intuitionistic fuzzy set extension of the TOPSIS-Sort. Applied Soft Computing, 113, 107906. https://doi.org/10.1016/j.asoc.2021.107906
   PubMed Web of Science ®Google Scholar
• Ocampo, L., & Yamagishi, K. (2022). Multiple criteria sorting of tourist sites for perceived COVID-19 exposure: The use of VIKORSORT. Kybernetes, 51(11), 3121–3152. https://doi.org/10.1108/K-02-2021-0153
   Web of Science ®Google Scholar
• Ouhibi, A., & Frikha, H. (2020, February). Interval-valued intuitionistic fuzzy CODAS-SORT method: Evaluation of natural resources in Tunisia. In: 2020 International Multi-Conference on Organization of Knowledge and Advanced Technologies (OCTA), Tunis, Tunisia, 6-8 Feb, 2020, 1-5, IEEE.
   Google Scholar
• Palha, R. P., De Almeida, A. T., Morais, D. C., & Hipel, K. W. (2019). Sorting subcontractors’ activities in construction projects with a novel Additive-veto sorting approach. Journal of Civil Engineering and Management, 25(4), 306–321. https://doi.org/10.3846/jcem.2019.9644
   Web of Science ®Google Scholar
• Pelissari, R., Oliveira, M. C., Amor, S. B., & Abackerli, A. J. (2019). A new FlowSort-based method to deal with information imperfections in sorting decision-making problems. European Journal of Operational Research, 276(1), 235–246. https://doi.org/10.1016/j.ejor.2019.01.006
   Web of Science ®Google Scholar
• Pinho, M., Costa, A. S., Meneses, M., & Manso, J. (2023). A multiple criteria sorting method for supporting the maintenance management of medical ventilators: The case of Hospital da Luz Lisboa. Socio-Economic Planning Sciences, 86. https://doi.org/10.1016/j.seps.2022.101458
   Web of Science ®Google Scholar
• Prakash, P. R., Anuradha, D., Iqbal, J., Galety, M. G., Singh, R., & Neelakandan, S. (2023). A novel convolutional neural network with gated recurrent unit for automated speech emotion recognition and classification. Journal of Control and Decision, 10(1), 54–63. https://doi.org/10.1080/23307706.2022.2085198
   Google Scholar
• Qin, J. D., Liang, Y. Y., Martinez, L., Ishizaka, A., & Pedrycz, W. (2023). ORESTE-SORT: A novel multiple criteria sorting method for sorting port group competitiveness. Annals of Operations Research, 325(2), 875–909. https://doi.org/10.1007/s10479-022-04991-y
   Web of Science ®Google Scholar
• Qin, J. D., Zeng, Y. Y., & Zhou, Y. J. (2021). Context-dependent DEASort: A multiple criteria sorting method for ecological risk assessment problems. Information Sciences, 572, 88–108. https://doi.org/10.1016/j.ins.2021.04.085
   Web of Science ®Google Scholar
• Roy, P. K., & Shaw, K. (2023). An integrated fuzzy credit rating model using fuzzy-BWM and new fuzzy-TOPSIS-Sort-C. Complex & Intelligent Systems, 9(4), 3581–3600. https://doi.org/10.1007/s40747-022-00823-5
   Web of Science ®Google Scholar
• Shen, F., Xu, J., & Xu, Z. (2016). An outranking sorting method for multi-criteria group decision making using intuitionistic fuzzy sets. Information Sciences, 334, 338–353. https://doi.org/10.1016/j.ins.2015.12.003
   Web of Science ®Google Scholar
• Słowiński, R., Greco, S., & Matarazzo, B. (2002). Axiomatization of utility, outranking and decision rule preference models for multiple-criteria classification problems under partial inconsistency with the dominance principle. Control and Cybernetics, 31(4), 1005–1035.
   Google Scholar
• Sobrie, O., Mousseau, V., & Pirlot, M. (2018). Learning monotone preferences using a majority rule sorting model. International Transactions in Operational Research, 26(5), 1786–1809. https://doi.org/10.1111/itor.12512
   Web of Science ®Google Scholar
• Soylu, B. (2011). A multi-criteria sorting procedure with Tchebycheff utility function. Computers & Operations Research, 38(8), 1091–1102. https://doi.org/10.1016/j.cor.2010.09.009
   Web of Science ®Google Scholar
• Tversky, A., & Kahneman, D. (1974). Judgment under Uncertainty: Heuristics and Biases: Biases in judgments reveal some heuristics of thinking under uncertainty. Science, 185(4157), 1124–1131. https://doi.org/10.1126/science.185.4157.1124
   PubMed Web of Science ®Google Scholar
• Wang, L., Zhang, Z. X., Ishizaka, A., Wang, Y. M., & Martínez, L. (2023). TODIMSort: A TODIM based method for sorting problems. Omega, 115, 102771. https://doi.org/10.1016/j.omega.2022.102771
   Web of Science ®Google Scholar
• Wen, Z., & Liao, H. C. (2023). PL-MACONT-I: A probabilistic linguistic MACONT-I method for multi-criterion sorting. International Journal of Information Technology & Decision Making, 1–20. https://doi.org/10.1142/S0219622023500219
   Web of Science ®Google Scholar
• Wu, X. L., & Liao, H. C. (2023). Value-driven preference disaggregation analysis for uncertain preference information. Omega, 115, 102793. https://doi.org/10.1016/j.omega.2022.102793
   Web of Science ®Google Scholar
• Yamagishi, K., & Ocampo, L. (2022). Utilizing TOPSIS-Sort for sorting tourist sites for perceived COVID-19 exposure. Current Issues in Tourism, 25(2), 168–178. https://doi.org/10.1080/13683500.2021.1918070
   Web of Science ®Google Scholar
• Yang, Y., Luo, Y., Chen, L. B., & Jia, Y. L. (2023). Intuitionistic fuzzy multiple attribute decision-making method based on a parametric piecewise score function. Journal of Control and Decision, https://doi.org/10.1080/23307706.2023.2204476
   Google Scholar
• Yuan, Y., & Yang, Y. (2022). Dynamic multiple criteria group decision-making method based on intuitionistic fuzzy information. Journal of Control and Decision, 9(4), 397–406. https://doi.org/10.1080/23307706.2021.2004938
   Google Scholar
• Zhang, Z., & Li, Z. (2023). Consensus-based TOPSIS-Sort-B for multi-criteria sorting in the context of group decision-making. Annals of Operations Research, 325(2), 911–938. https://doi.org/10.1007/s10479-022-04985-w
   Web of Science ®Google Scholar
• Zopounidis, C, & Doumpos, M. (2002). Multicriteria classification and sorting methods: A literature review. European Journal of Operational Research, 138(2), 229–246. https://doi.org/10.1016/S0377-2217(01)00243-0
   Web of Science ®Google Scholar