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Assessment of digital economy development with the new multicriteria sorting method: DCMSort

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  • Liang, Yingying
  • Qin, Jindong
  • Ishizaka, Alessio

Abstract

We present a novel multiple criteria sorting method based on the deck of cards method, named DCMSort, which assigns alternatives to pre-defined and ordered classes. In contrast to prior multiple criteria sorting methods, DCMSort produces criteria weights and utility functions based on personalized preferences using comparisons between two consecutive levels. Meanwhile, it needs fewer comparisons with the aid of the ordinal relation. To improve the flexibility of preference representation, we adopt reference levels and representative profiles as auxiliary profiles to characterize the utility function finely. Additionally, this method permits both definite and uncertain number of blank cards between consecutive positions. To verify the practicality of DCMSort, we provide an illustrative case study in the domain of digital economy development assessment in China. Sensitivity and comparative analyses are conducted to demonstrate the stability and superiority of our proposal.

Suggested Citation

  • Liang, Yingying & Qin, Jindong & Ishizaka, Alessio, 2025. "Assessment of digital economy development with the new multicriteria sorting method: DCMSort," Omega, Elsevier, vol. 132(C).
  • Handle: RePEc:eee:jomega:v:132:y:2025:i:c:s0305048324001889
    DOI: 10.1016/j.omega.2024.103224
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    1. Greco, Salvatore & Mousseau, Vincent & Slowinski, Roman, 2010. "Multiple criteria sorting with a set of additive value functions," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1455-1470, December.
    2. Araz, Ceyhun & Ozkarahan, Irem, 2007. "Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure," International Journal of Production Economics, Elsevier, vol. 106(2), pages 585-606, April.
    3. Pan, Wenrong & Xie, Tao & Wang, Zhuwang & Ma, Lisha, 2022. "Digital economy: An innovation driver for total factor productivity," Journal of Business Research, Elsevier, vol. 139(C), pages 303-311.
    4. Hanhua Shao & Jixin Cheng & Yuansheng Wang & Xiaoming Li, 2022. "Can Digital Finance Promote Comprehensive Carbon Emission Performance? Evidence from Chinese Cities," IJERPH, MDPI, vol. 19(16), pages 1-18, August.
    5. Zhang, Wei & Liu, Xuemeng & Wang, Die & Zhou, Jianping, 2022. "Digital economy and carbon emission performance: Evidence at China's city level," Energy Policy, Elsevier, vol. 165(C).
    6. Wang, Liang & Zhang, Zi-Xin & Ishizaka, Alessio & Wang, Ying-Ming & Martínez, Luis, 2023. "TODIMSort: A TODIM based method for sorting problems," Omega, Elsevier, vol. 115(C).
    7. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2001. "Rough sets theory for multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 129(1), pages 1-47, February.
    8. 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, Elsevier, vol. 204(3), pages 565-580, August.
    9. Corrente, S. & Figueira, J.R. & Greco, S., 2021. "Pairwise comparison tables within the deck of cards method in multiple criteria decision aiding," European Journal of Operational Research, Elsevier, vol. 291(2), pages 738-756.
    10. Guo, Chuanyin & Song, Qiwei & Yu, Ming-Miin & Zhang, Jian, 2024. "A digital economy development index based on an improved hierarchical data envelopment analysis approach," European Journal of Operational Research, Elsevier, vol. 316(3), pages 1146-1157.
    11. Barbati, Maria & Greco, Salvatore & Lami, Isabella M., 2024. "The Deck-of-cards-based Ordinal Regression method and its application for the development of an ecovillage," European Journal of Operational Research, Elsevier, vol. 319(3), pages 845-861.
    12. Yi, Ming & Liu, Yafen & Sheng, Mingyue Selena & Wen, Le, 2022. "Effects of digital economy on carbon emission reduction: New evidence from China," Energy Policy, Elsevier, vol. 171(C).
    13. Liang, Decui & Fu, Yuanyuan & Ishizaka, Alessio, 2023. "A consensual group ELECTRE-SORT approach considering the incomparable classes with the application of machine maintenance strategy assignment," Omega, Elsevier, vol. 118(C).
    14. Wang, Jianda & Dong, Kangyin & Dong, Xiucheng & Taghizadeh-Hesary, Farhad, 2022. "Assessing the digital economy and its carbon-mitigation effects: The case of China," Energy Economics, Elsevier, vol. 113(C).
    15. Vincent Mousseau & Özgür Özpeynirci & Selin Özpeynirci, 2018. "Inverse multiple criteria sorting problem," Annals of Operations Research, Springer, vol. 267(1), pages 379-412, August.
    16. Luo, Kang & Liu, Yaobin & Chen, Pei-Fen & Zeng, Mingli, 2022. "Assessing the impact of digital economy on green development efficiency in the Yangtze River Economic Belt," Energy Economics, Elsevier, vol. 112(C).
    17. Wang, Jianda & Wang, Bo & Dong, Kangyin & Dong, Xiucheng, 2022. "How does the digital economy improve high-quality energy development? The case of China," Technological Forecasting and Social Change, Elsevier, vol. 184(C).
    18. Lahdelma, Risto & Hokkanen, Joonas & Salminen, Pekka, 1998. "SMAA - Stochastic multiobjective acceptability analysis," European Journal of Operational Research, Elsevier, vol. 106(1), pages 137-143, April.
    19. Alessio Ishizaka & Menelaos Tasiou & Luis Martínez, 2020. "Analytic hierarchy process-fuzzy sorting: An analytic hierarchy process–based method for fuzzy classification in sorting problems," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(6), pages 928-947, June.
    20. Malin Song & Heting Pan & Michael Vardanyan & Zhiyang Shen, 2023. "Evaluating the energy efficiency-enhancing potential of the digital economy: Evidence from China," Post-Print hal-04277444, HAL.
    21. 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, Elsevier, vol. 217(3), pages 567-579.
    22. Ishizaka, Alessio & Nemery, Philippe, 2014. "Assigning machines to incomparable maintenance strategies with ELECTRE-SORT," Omega, Elsevier, vol. 47(C), pages 45-59.
    23. Ma, Qiang & Mentel, Grzegorz & Zhao, Xin & Salahodjaev, Raufhon & Kuldasheva, Zebo, 2022. "Natural resources tax volatility and economic performance: Evaluating the role of digital economy," Resources Policy, Elsevier, vol. 75(C).
    24. Alessio Ishizaka & Maynard Gordon, 2017. "MACBETHSort: a multiple criteria decision aid procedure for sorting strategic products," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(1), pages 53-61, January.
    25. Arcidiacono, Sally Giuseppe & Corrente, Salvatore & Greco, Salvatore, 2021. "Robust stochastic sorting with interacting criteria hierarchically structured," European Journal of Operational Research, Elsevier, vol. 292(2), pages 735-754.
    26. Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2018. "On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application," European Journal of Operational Research, Elsevier, vol. 271(1), pages 120-140.
    27. Risto Lahdelma & Pekka Salminen, 2001. "SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making," Operations Research, INFORMS, vol. 49(3), pages 444-454, June.
    28. Figueira, Jose & Roy, Bernard, 2002. "Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure," European Journal of Operational Research, Elsevier, vol. 139(2), pages 317-326, June.
    29. Zhichuan Zhu & Bo Liu & Zhuoxi Yu & Jianhong Cao, 2022. "Effects of the Digital Economy on Carbon Emissions: Evidence from China," IJERPH, MDPI, vol. 19(15), pages 1-21, August.
    30. Jana Krejčí & Alessio Ishizaka, 2018. "FAHPSort: A Fuzzy Extension of the AHPSort Method," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1119-1145, July.
    31. Zhen Zhang & Zhuolin Li, 2023. "Consensus-based TOPSIS-Sort-B for multi-criteria sorting in the context of group decision-making," Annals of Operations Research, Springer, vol. 325(2), pages 911-938, June.
    32. Gerarda Fattoruso & Maria Barbati & Alessio Ishizaka & Massimo Squillante, 2023. "A hybrid AHPSort II and multi-objective portfolio selection method to support quality control in the automotive industry," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 74(1), pages 209-224, January.
    33. Kadziński, Miłosz & Ciomek, Krzysztof & Słowiński, Roman, 2015. "Modeling assignment-based pairwise comparisons within integrated framework for value-driven multiple criteria sorting," European Journal of Operational Research, Elsevier, vol. 241(3), pages 830-841.
    34. Sarah Ben Amor & Fateh Belaid & Ramzi Benkraiem & Boumediene Ramdani & Khaled Guesmi, 2023. "Multi-criteria classification, sorting, and clustering: a bibliometric review and research agenda," Annals of Operations Research, Springer, vol. 325(2), pages 771-793, June.
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