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Multi-scale decision systems with test cost and applications to three-way multi-attribute decision-making

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Abstract

In real life, humans often need to deal with data hierarchically structured at different levels. The more detailed data that is collected, the greater the cost will be. When humans make decisions, they often want to achieve the goal while paying a lower cost. Therefore, it is necessary to construct a multi-scale three-way multi-attribute decision-making model with cost consideration. First, this paper proposes a multi-scale decision system with test cost, considering the conditional attribute costs at different scales. Second, the optimal scale is selected based on information entropy and total test cost. Then, we construct a new neighborhood, probability function, and relative loss function. On this basis, we establish a three-way decision model for multi-scale decision systems to solve multi-attribute decision-making problems. Finally, the experiments show that the proposed method can effectively reduce the cost while achieving the decision-making goal, demonstrating the effectiveness and superiority of the method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No:12271191,11871259), Fuzhou-Xiamen-Quanzhou National Independent Innovation Demonstration Zone Collaborative Innovation Platform (No. 2022FX5) and the Natural Science Foundation of Fujian Province (2022J01306).

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Authors and Affiliations

  1. Faculty of Innovation Engineering, Macau University of Science and Technology, Macau, China

    Jiaming Wu

  2. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China

    Danyue Liu, Zhehuang Huang & Jinjin Li

  3. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, 363000, China

    Jinjin Li

Authors
  1. Jiaming Wu
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  2. Danyue Liu
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  3. Zhehuang Huang
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  4. Jinjin Li
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Contributions

Jiaming Wu: Conceptualization, Methodology, Writing - original draft, Writing - review and editing. Danyue Liu: Conceptualization, Methodology, Writing - original draft. Zhehuang Huang: Methodology, Investigation, Supervision. Jinjin Li: Methodology, Investigation, Supervision.

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Correspondence to Jiaming Wu.

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Wu, J., Liu, D., Huang, Z. et al. Multi-scale decision systems with test cost and applications to three-way multi-attribute decision-making. Appl Intell 54, 3591–3605 (2024). https://doi.org/10.1007/s10489-024-05307-2

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