| 粗积分与函数粗集的粗糙度 |
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| 引用本文： | 于秀清.粗积分与函数粗集的粗糙度[J].计算机工程与应用,2010,46(19):55-57. |
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| 作者姓名： | 于秀清 |
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| 作者单位： | 德州学院,山东,德州,253014;山东大学,数学与系统科学学院,济南,250100 |
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| 摘 要： | 在函数粗集的基础上给出了下近似积分、上近似积分与粗积分的概念，利用这些概念不仅给出了粗积分的可分辨关系、不可分辨关系、有限萎缩性和有限扩张性定理，还定义了函数粗集的精度与粗糙度及二者之间的一些关系，并给出函数粗集的筛选-剩余原则。
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| 关 键 词： | 函数粗集 粗积分 精度 粗糙度 |
| 收稿时间： | 2008-12-23 |
| 修稿时间： | 2009-3-3
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Rough integrals and rough degree of function rough sets |
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| YU Xiu-qing.Rough integrals and rough degree of function rough sets[J].Computer Engineering and Applications,2010,46(19):55-57. |
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| Authors: | YU Xiu-qing |
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| Affiliation: | YU Xiu-qing1,2 1.Dezhou College,Dezhou,Shandong 253014,China 2.School of Mathematics and System Sciences,Shandong University,Jinan 250100,China |
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| Abstract: | The concepts of the lower approximation integral,the upper approximation integral and rough integrals are given on the basis of function rough sets.With these concepts,double median theorem of rough integrals and the relationships of the lower approximation integrals,the upper approximation integrals and rough integrals are discussed.Rough integrals also have finite shrinkage characteristic and finite extension characteristic.The rough degree and precision degree of function rough sets are presented,and the relationships of these are gotten.Based on above of all function rough sets＇choice-surplus theorem is obtained. |
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| Keywords: | function rough sets rough integrals precision degree rough degree |
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