| 广义模糊粗糙集的不确定性度量 |
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| 引用本文： | 齐晓东,刘秋成,米据生. 广义模糊粗糙集的不确定性度量[J]. 模糊系统与数学, 2007, 21(2): 136-140 |
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| 作者姓名： | 齐晓东 刘秋成 米据生 |
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| 作者单位： | 河北交通职业技术学院,河北,石家庄,050091;河北工业职业技术学院,河北,石家庄,050091;河北师范大学,数学与信息科学学院,河北,石家庄,050016 |
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| 摘 要： | 研究广义模糊粗糙集的不确定性问题,利用一种新的信息熵定义模糊粗糙集的模糊性度量,并给出这种度量的性质,证明当且仅当A是经典可定义集合时其模糊粗糙集的模糊性度量FR(A)等于0。
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| 关 键 词： | 粗糙集 模糊集 近似算子 不确定性 |
| 文章编号： | 1001-7402（2007）02-0136-05 |
| 收稿时间： | 2005-12-14 |
| 修稿时间： | 2005-12-14 |
The Uncertainty Measure of the Generalized Fuzzy Rough Sets |
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| QI Xiao-dong,LIU Qiu-cheng,MI Ju-sheng. The Uncertainty Measure of the Generalized Fuzzy Rough Sets[J]. Fuzzy Systems and Mathematics, 2007, 21(2): 136-140 |
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| Authors: | QI Xiao-dong LIU Qiu-cheng MI Ju-sheng |
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| Affiliation: | 1, Hebei Jiaotong Vocational ~ Technical College,Shijiazhuang 050091 ,China; 2, Hebei Institute of Vocation and Teehnology,Shijiazhuang 050091,China; College of Mathematics and Information Seienee,Hebei Normal University,Shijiazhuang 050016,China |
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| Abstract: | This paper studies the uncertainty measure of the generalized fuzzy rough sets.By use of a new formula of information entropy,an uncertainty measure for generalized fuzzy rough set is introduced.Some basic properties of this measure are examined.It is proved that the measure of fuzziness of a fuzzy rough set FR(A) equals to zero if and only if the set A is crisp and definable. |
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| Keywords: | Rough Sets Fuzzy Sets Lower and Upper Approximation Operators Uncertainty |
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