| 粗糙模糊子群在满同态下的性质 |
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| 引用本文： | 郭增晓.粗糙模糊子群在满同态下的性质[J].河北师范大学学报(自然科学版),2005,29(6):560-562. |
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| 作者姓名： | 郭增晓 |
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| 作者单位： | 石家庄学院,数学系,河北,石家庄,050035 |
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| 基金项目： | 国家自然科学基金资助项目（60373078） |
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| 摘 要： | 粗糙集理论是由Plawlak于1982年提出的，模糊集理论是由Zadeh于1965年建立的，粗糙集与模糊集的结合越来越受到学术界的关注．研究了群中模糊集的上、下近似，给出了上、下近似算子的性质，讨论了粗糙模糊子群在满同态下的性质．
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| 关 键 词： | 群 粗糙集 模糊集 同余关系 粗糙模糊子群 |
| 文章编号： | 1000-5854(2005)06-0560-03 |
| 收稿时间： | 2004-12-16 |
| 修稿时间： | 2004年12月16 |
Properties of the Complete Homomorphism of a Rough Fuzzy Group |
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| GUO Zeng-xiao.Properties of the Complete Homomorphism of a Rough Fuzzy Group[J].Journal of Hebei Normal University,2005,29(6):560-562. |
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| Authors: | GUO Zeng-xiao |
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| Abstract: | The theory of rough set initiated by Pawlak in 1982 and the theory of fuzzy set initiated by Zadeh in 1965 provide useful means of describing and modeling of vagueness in ill-defined environment. The relationship between these two notions is more and more studied by many authors. The properties of the complete homomorphism of a rough fuzzy group are studied. The properties of the lower and upper approximations in a fuzzy group are also studied. |
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| Keywords: | group rough set fuzzy set congruence relation rough fuzzy semigroup |
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