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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2026, Vol. 42 ›› Issue (6): 1115-1130.doi: 10.3969/j.issn.1005-3085.2025.06.010cstr: 32411.14.cjem.CN61-1269/O1.2025.06.010

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基于熵的决策多尺度Wu-Leung信息系统的最优尺度选择

吴伟志1,2,  宋茂林1,2,  王金波1,2   

  1. 1. 浙江海洋大学信息工程学院，舟山  316022
    2. 浙江海洋大学浙江省海洋大数据挖掘与应用重点实验室，舟山 316022
  • 收稿日期:2023-03-28 接受日期:2023-05-06 出版日期:2025-12-15 发布日期:2026-02-15
  • 基金资助:
    国家自然科学基金 (61976194; 62076221).

Entropy-based Optimal Scale Selection for Wu-Leung Information Systems with a Multi-scale Decision

WU Weizhi1,2,  SONG Maolin1,2,  WANG Jinbo1,2   

  1. 1. School of Information Engineering, Zhejiang Ocean University, Zhoushan 316022
    2. Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan 316022
  • Received:2023-03-28 Accepted:2023-05-06 Online:2025-12-15 Published:2026-02-15
  • Supported by:
    The National Natural Science Foundation of China (61976194; 62076221).

摘要：

研究决策多尺度Wu-Leung信息系统的最优尺度选择与属性约简问题。首先，在协调决策多尺度Wu-Leung信息系统中定义了熵最优尺度选择的概念，用熵刻画了最优尺度选择的特征。其次，定义了单个对象的熵最优尺度选择的概念，进一步给出了在最优尺度选择下的属性约简方法。最后，讨论了不协调决策多尺度Wu-Leung信息系统的最优尺度选择和属性约简方法。

关键词: 粒计算, 多尺度数据, 信息熵, 最优尺度选择

Abstract:

We investigate the optimal scale selection and the attribute reduction problems in Wu-Leung information systems with a multi-scale decision. Firstly, the concept of entropy-based optimal scale selection is defined in a consistent Wu-Leung information system with a multi-scale decision, which can be used to characterize the optimal scale selection in the same system. Secondly, the concept of an entropy-based optimal scale selection for a single object is introduced, and an attribute reduction method based on the optimal scale selection is further presented. Finally, entropy-based optimal scale selection and attribute reduction methods for inconsistent Wu-Leung information systems with a multi-scale decision are explored.

Key words: granular computing, multi-scale data, information entropy, optimal scale selection

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