| 未确知集 |
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| 引用本文： | 刘开第,李万庆,庞彦军.未确知集[J].数学的实践与认识,2006,36(10):197-204. |
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| 作者姓名： | 刘开第 李万庆 庞彦军 |
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| 作者单位： | 河北工程大学不确定性数学研究所,河北,邯郸,056038 |
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| 基金项目： | 国家自然科学基金;河北省自然科学基金 |
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| 摘 要： | 分析了模糊集与R ough集两种不确定性集合的异同,指出模糊集中存在的不足和缺陷,在此基础上定义一种新的不确定性集合称作未确知集.在未确知集中模糊集的不足与缺陷得到弥补与修正,并且未确知集具有普通集合的含义.通过分析未确知集与模糊集的相同点及本质区别来论证未确知集存在与值得研究的价值.最后例举了常用的未确知隶属函数的构造方法.
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| 关 键 词： | 不确定性集合 模糊集 Rough集 未确知集 测量准则 |
| 修稿时间： | 2002年7月5日 |
Unascertained Set |
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| LIU Kai-di,LI Wan-qing,PANG Yan-jun.Unascertained Set[J].Mathematics in Practice and Theory,2006,36(10):197-204. |
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| Authors: | LIU Kai-di LI Wan-qing PANG Yan-jun |
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| Abstract: | The paper analyzed similarities and differences between fuzzy set and rough set,pointes out the shortages and defects of fuzzy set,and then defined a new indefinite set,called unascertained set,where the shortages and defects of fuzzy set can be compensated and modified.Unascertained set possesses the definition of common set.According to the analysis of the similarities and essential differences between fuzzy set and rough set,the paper expounded and proved that unascertained set existed and valued researching.At last,the paper gave some constructions of unascertained subordination function in common use. |
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| Keywords: | indefinite set fuzzy set rough set unascertained set measuring criterion |
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