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Probabilistic Linguistic TODIM Method with Probabilistic Linguistic Entropy Weight and Hamming Distance for Teaching Reform Plan Evaluation

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  • Wenshuai Wu

    (Lingnan College, Sun Yat-sen University, Guangzhou 510275, China)

Abstract

In the context of the construction of new liberal arts, the integration and intersection of disciplines have become a new trend in the development of higher education. How to promote the teaching reform of big data technology and application courses in the new liberal arts construction scenario has become an important issue in enhancing students’ digital talent literacy and social adaptability. In this study, an extended probabilistic linguistic TODIM (an acronym in Portuguese for interactive multi-criteria decision making) with probabilistic linguistic entropy weight and Hamming distance is presented for teaching reform plan evaluation for the core course “big data technology and applications” in the digital economy major. Firstly, probabilistic linguistic entropy weight, based on the entropy of the additive linguistic term set, is applied to generate weight information. Secondly, parameter sensitivity analysis is carried out to prove the stabilization and effectiveness of the extended TODIM approach. Thirdly, this extended approach can integrate the psychological factors and cognitive behaviors of decision-makers for effectively responding to education management in the new liberal arts construction scenario. Finally, a case study on teaching reform plan evaluation is carried out, and a comparative analysis with different criteria weights and different methods is conducted to verify the extended approach. The results indicate that the extended approach can provide an effective technical tool for scientific decision-making, especially in the teaching reform plan evaluation scenario in order to promote high-quality development of education.

Suggested Citation

  • Wenshuai Wu, 2024. "Probabilistic Linguistic TODIM Method with Probabilistic Linguistic Entropy Weight and Hamming Distance for Teaching Reform Plan Evaluation," Mathematics, MDPI, vol. 12(22), pages 1-18, November.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3520-:d:1518675
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    References listed on IDEAS

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    1. Wenshuai Wu & Gang Kou & Yi Peng, 2018. "A consensus facilitation model based on experts’ weights for investment strategy selection," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(9), pages 1435-1444, September.
    2. Zhiping Hou & Sangsang He & Ruxia Liang & Junbo Li & Ruilu Huang & Jianqiang Wang, 2023. "Evaluating Economy Hotel Website Service Quality: A Hybrid Bounded Rationality Behavioral Decision Support Model," Mathematics, MDPI, vol. 11(12), pages 1-18, June.
    3. Pingping Cao & Jin Zheng & Mingyang Li, 2023. "Product Selection Considering Multiple Consumers’ Expectations and Online Reviews: A Method Based on Intuitionistic Fuzzy Soft Sets and TODIM," Mathematics, MDPI, vol. 11(17), pages 1-20, September.
    4. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    5. Gang Kou & Wenshuai Wu, 2014. "Multi-criteria decision analysis for emergency medical service assessment," Annals of Operations Research, Springer, vol. 223(1), pages 239-254, December.
    6. Zhili Jia & Liyi Liu & Zhaofeng Diao, 2024. "A Group Intuitionistic Fuzzy Exponential TODIM Method Considering Attribute Interactions Applied to Green Building Material Supplier Selection," Sustainability, MDPI, vol. 16(18), pages 1-24, September.
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