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| 广义模糊粗糙集的不确定性度量 | |
| 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. |
| 作者姓名： | 齐晓东 刘秋成 米据生 |
| 作者单位： | 1. 河北交通职业技术学院,河北,石家庄,050091 2. 河北工业职业技术学院,河北,石家庄,050091 3. 河北师范大学,数学与信息科学学院,河北,石家庄,050016 |
| 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。 |
| 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年12月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. | |
| Authors: | QI Xiao-dong LIU Qiu-cheng MI Ju-sheng |
| Institution: | 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 |
| 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. |
| Keywords: | Rough Sets Fuzzy Sets Lower and Upper Approximation Operators Uncertainty |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |