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Uncertainty Measurement Based on In-sim-dominance Relation

机译：基于In-SIM-支配关系的不确定性测量

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In-sim-dominance relation is proposed to deal with hybrid information system in which the objects are described by a finite set of qualitative and quantitative attributes. Accuracy and roughness are two main tools to deal w ith uncertainty measurement issue in Pawlak rough set theory. However, there are few studies on uncertainty measurement based on the in-sim-dominance relation. In this paper, traditional accuracy and roughness measurements are extended to deal with hybrid information system, approximation accuracy and approximation roughness based on the in-sim-dominance relation are also defined. In particular, a concept called hybrid entropy is first introduced to measure the uncertainty of a hybrid information system. Then entropy-based roughness and approximation roughness of hybrid information system are proposed. Experiments are conducted on standard UCI data sets to test the proposed methodologies, and the results demonstrate that the entropy-based approximation roughness is effective and suitable for measuring the uncertainty of hybrid information system.
机译：提出了In-SIM-主导关系，以处理混合信息系统，其中通过有限一组定性和定量属性描述了对象。准确性和粗糙度是在Pawlak粗糙集理论中处理不确定性测量问题的两个主要工具。然而，基于SIM-SIMI-COMINATION关系的不确定性测量很少有研究。在本文中，扩展了传统的精度和粗糙度测量来处理混合信息系统，近似度准确度和基于In-SIM-优势关系的近似粗糙度。特别地，首先引入称为混合熵的概念来测量混合信息系统的不确定性。然后提出了基于熵的混合信息系统的粗糙度和近似粗糙度。在标准UCI数据集上进行实验以测试所提出的方法，结果表明，基于熵的近似粗糙度是有效的，适用于测量混合信息系统的不确定性。

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