THE RELATIONSHIPS BETWEEN THE INCLUSION DEGREE AND MEASURES ON ROUGH SET DATA ANALYSIS BASED ON REGULAR PROBABILITY SPACES

机译：基于规则概率空间的粗糙集数据分析的包含度与度量之间的关系

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Rough set data analysis is one of the main application techniques arising from rough set theory. In this paper we first give a concept of inclusion degree and introduce some measures on rough set in probability spaces. Then we establish several important relationships between the inclusion degree and these measures. Finally, we get one conclusion that these measures can be reduced to the inclusion degree by using mathematical reasoning.

机译：粗糙集数据分析是来自粗糙集理论的主要应用技术之一。在本文中，我们首先给出了包含度的概念，并介绍了概率空间中粗糙集的一些度量。然后我们建立了包含度与这些度量之间的几个重要关系。最后，我们得出一个结论，即可以通过数学推理将这些度量降低到包含度。

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《2008 International Conference on Machine Learning and Cybernetics（2008机器学习与控制论国际会议）论文集》|2008年|2412-2416|共5页
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ERIC C.C.TSANG; WEN-XIA YANG; DE-GANG CHEN;
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Rough sets; Inclusion degree; Data analysis; Measure; Regular probability spaces;

机译：粗糙集包含度数据分析度量正则概率空间;

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专利

1. Inclusion degree: a perspective on measures for rough set data analysis [J] . Xu ZB., Liang JY., Dang CY., Information Sciences: An International Journal . 2002,第3a4期

机译：包含度：对粗糙集数据分析的措施的观点
2. Decision-theoretic rough set approaches to multi-covering approximation spaces based on fuzzy probability measure [J] . Liu Caihui, Pedrycz Witold, Jiang Feng, Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2018,第3期

机译：基于模糊概率测量的多覆近似空间的决策理论粗糙集方法
3. Some new entropy measures for interval-valued intuitionistic fuzzy sets based on distances and their relationships with similarity and inclusion measures [J] . Qiansheng Zhang, Hongyan Xing, Fuchun Liu, Information Sciences: An International Journal . 2014,第Null期

机译：基于距离及其与相似性和包含性的关系的区间值直觉模糊集的一些新熵度量
4. THE RELATIONSHIPS BETWEEN THE INCLUSION DEGREE AND MEASURES ON ROUGH SET DATA ANALYSIS BASED ON REGULAR PROBABILITY SPACES [C] . ERIC C. C. TSANG, WEN-XIA YANG, DE-GANG CHEN International Conference on Machine Learning and Cybernetics . 2008

机译：基于常规概率空间的粗糙集数据分析的包涵度与度量与粗糙集数据分析的关系
5. Rough set-based software quality models and quality of data [D] . Bullard, Lofton Alexander 2008

机译：基于粗糙集的软件质量模型和数据质量
6. A regulation probability model-based meta-analysis of multiple transcriptomics data sets for cancer biomarker identification [O] . Xin-Ping Xie, Yu-Feng Xie, Hong-Qiang Wang 2017

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7. Inclusion degree: a perspective on measures for rough set data analysis [O] . Z. B. Xu A, J. Y. Liang A, C. Y. Dang B, 2000

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8. Measuring uncertainty by extracting fuzzy rules using rough sets and extracting fuzzy rules under uncertainty and measuring definability using rough sets [R] . Worm, Jeffrey A., Culas, Donald E. 1991

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THE RELATIONSHIPS BETWEEN THE INCLUSION DEGREE AND MEASURES ON ROUGH SET DATA ANALYSIS BASED ON REGULAR PROBABILITY SPACES

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