| 不完备信息系统中基于模糊测度的知识不确定性度量 |
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| 引用本文： | 熊菲,刘文奇.不完备信息系统中基于模糊测度的知识不确定性度量[J].计算机工程与科学,2009,31(10). |
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| 作者姓名： | 熊菲 刘文奇 |
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| 作者单位： | 1. 昆明医学院海源学院物理数学教研室,云南,昆明,650106;昆明理工大学数学系,云南,昆明,650093
2. 昆明理工大学数学系,云南,昆明,650093 |
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| 摘 要： | 考虑到不完备信息系统中属性的相似关系和缺失值对系统不确定性的影响,如果仍然利用分块大小来衡量知识的信息量或粗糙性将变得不合理。本文在信息系统中定义了模糊测度系统信息熵、知识粗糙熵和粗集粗糙熵,证明了模糊测度粗糙熵的合理性及其性质,并举例说明如何选择合理的测度计算模糊测度粗糙熵,最后运用到知识的约简,为信息系统的约简提供了一种新的途径。
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| 关 键 词： | 粗糙集 模糊测度 粗糙熵 粗集粗糙熵 |
Uncertainty Measures of the Knowledge Based on Fuzzy Measuring in Incomplete Information Systems |
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| XIONG Fei,LIU Wen-qi.Uncertainty Measures of the Knowledge Based on Fuzzy Measuring in Incomplete Information Systems[J].Computer Engineering & Science,2009,31(10). |
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| Authors: | XIONG Fei LIU Wen-qi |
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| Abstract: | Considering the impact of similar attributes and missing values in the incomplete information systems,it is unreasonable if you use the block size to measure the amount of information and the roughness of knowledge.This paper defines the information entropy of fuzzy measures,the rough entropy of knowledge and the rough set entropy,proves the rationality and its characteristics of the fuzzy measure rough entropy,and then takes an example to describe how to choose reasonable measurement to calculate the rough entroy,and applies it to the reduction of knowledge in incomplete information systems. |
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| Keywords: | rough sets fuzzy measuring rough entropy rough set entropy |
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