不协调广义多尺度决策系统的最优尺度组合的层次关系
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作者单位:

1. 浙江海洋大学 信息工程学院,浙江 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,浙江 舟山 316022

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E-mail: wuwz@zjou.edu.cn.

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TP18

基金项目:

国家自然科学基金项目(61976194,62076221).


Hierarchical relationships of optimal scale combinations in inconsistent generalized multi-scale decision systems
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Affiliation:

1. School of Information Engineering,Zhejiang Ocean University,Zhoushan 316022,China;2. Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province,Zhejiang Ocean University,Zhoushan 316022,China

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    摘要:

    多尺度信息系统是一类特殊的对象-属性值系统,数据集中的每个对象在每个属性下根据不同的尺度或粒度可呈现出不同的值,并从细粒度属性值域到粗粒度属性值域间存在粒信息变换函数.从多尺度数据集中的每个属性中选择一个满足预设条件的尺度用于最终的决策分析(这个过程称为最优尺度组合选择)是多尺度决策系统知识获取的关键问题.针对不协调广义多尺度决策系统的最优尺度组合选择问题,首先,通过引入三层思维提出广义决策类最优尺度组合和对象最优尺度组合的概念,讨论两者间的层次关系;然后,提出属性约简诱导的最优尺度组合和关键尺度组合的概念,讨论对象关键尺度组合与广义决策类关键尺度组合间的层次关系;最后,依据对象关键尺度组合与广义决策类关键尺度组合间的层次关系给出两者间互相计算的方法.

    Abstract:

    A multi-scale information system is an attribute-value system in which each object under each attribute is represented by different scales at different levels of granulations having a granular information transformation from a finer to a coarser labelled value. For a given multi-scale decision system, a key step is the selection of an optimal scale for each attribute to determine a proper decision table with some requirement for final decision or classification, and such a process is called the optimal scale combination selection. Aiming at the problem of optimal scale combination selection in inconsistent generalized multi-scale decision systems, by introducing tri-level thinking, concepts of optimal scale combinations for generalized decision classes and object scale combinations in inconsistent generalized multi-scale decision systems are first introduced, and the hierarchical relationship between them is discussed. Notions of optimal scale combinations and key scale combinations induced by an attribute reduct are then defined, and the hierarchical relationship between object key scale combinations and generalized decision class key scale combinations is examined. Finally, methods of mutual calculation between key scale combinations of objects and key scale combinations of generalized decision classes are presented.

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曾华鑫,吴伟志.不协调广义多尺度决策系统的最优尺度组合的层次关系[J].控制与决策,2024,39(6):2041-2050

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  • 在线发布日期: 2024-05-11
  • 出版日期: 2024-06-20
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