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模糊相似关系下的模糊粗糙集
引用本文:郭海刚,高井贵,张振良.模糊相似关系下的模糊粗糙集[J].辽宁师范大学学报(自然科学版),2006,29(3):289-291.
作者姓名:郭海刚  高井贵  张振良
作者单位:1. 河南科技大学,理学院,河南,洛阳,471039
2. 合肥工业大学,理学院,安徽,合肥,230009
3. 昆明理工大学,理学院,云南,昆明,650093
摘    要:在模糊粗糙集模型中引入模糊相似关系,定义了一组上、下近似集,并讨论了模糊相似关系下的模糊粗糙集的一些性质,得出了它在模糊相似关系的包含运算、并运算、交运算、合成运算及闭包运算下的一些结论。最后定义了模糊粗糙集在模糊相似关系下的粗糙度和近似精度,并得出了一些结果.

关 键 词:模糊相似关系  模糊粗糙集  粗糙度  近似精度  关系运算
文章编号:1000-1735(2006)03-0289-03
收稿时间:12 18 2005 12:00AM
修稿时间:2005年12月18

Fuzzy Rough Sets Based on Fuzzy Similar Relation
GUO Hai-gang,GAO Jing-gui,ZHANG Zhen-liang.Fuzzy Rough Sets Based on Fuzzy Similar Relation[J].Journal of Liaoning Normal University(Natural Science Edition),2006,29(3):289-291.
Authors:GUO Hai-gang  GAO Jing-gui  ZHANG Zhen-liang
Institution:1. College of Science, Henan University of Science and Technology, Luoyang 471039,China; 2. College of Science, Hefei University of Technology, Hefei 230009, China; 3. College of Science, Kunming University of Science Technology, Kunming 650093, China
Abstract:In the paper, fuzzy rough sets based on fuzzy similar relation is first introduced, and their and lower approximation sets are defined. Some properties of fuzzy rough sets based on fuzzy similar relation are discussed and deduced some results under all kinds of relation operations. Finally, a coarseness degree and an approximation accuracy of fuzzy rogh sets based on fuzzy similar relation,are defined and got some resultses.
Keywords:fuzzy similar relation  fuzzy rough sets  coarseness degree  aproximation acuracy  relation operation
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