| 关于模糊粗糙集的一个注记 |
| |
| 引用本文： | 张诚一,周厚勇.关于模糊粗糙集的一个注记[J].兰州大学学报(自然科学版),2005,41(4):118-120. |
| |
| 作者姓名： | 张诚一 周厚勇 |
| |
| 作者单位： | 1. 海南师范大学,计算机系,海南,海口,571158;河南黄淮学院,数学系,河南,驻马店,463000
2. 河南黄淮学院,数学系,河南,驻马店,463000 |
| |
| 基金项目： | 国家自然科学基金，海南省自然科学基金 |
| |
| 摘 要： | 指出文献6]中定义的模糊粗糙集的补集不再是模糊粗糙集.为了克服原定义中的缺陷,给出了关于模糊粗糙集的新的补集定义,讨论了相应的运算性质.同时还证明:模糊粗糙集其实就是定义在F格L上的L-模糊集.
|
| 关 键 词： | 模糊集 粗糙集 模糊粗糙集 L-模糊集 |
| 文章编号： | 0455-2059（2005）04-0118-03 |
| 收稿时间： | 04 26 2005 12:00AM |
| 修稿时间： | 2005-04-26 |
A note on the fuzzy rough sets |
| |
| ZHANG Cheng-yi,ZHOU Hou-yong.A note on the fuzzy rough sets[J].Journal of Lanzhou University(Natural Science),2005,41(4):118-120. |
| |
| Authors: | ZHANG Cheng-yi ZHOU Hou-yong |
| |
| Abstract: | 6] in the bibliography has given the concept of fuzzy rough sets as the combination of fuzzy sets and rough sets. But it is pointed out in our paper that the complement set of the fuzzy rough set in 6] does not satisfy the condition of fuzzy rough set, i.e, the definition in 6] can not guarantee the closeness of FR(X) for the complement operation. In order to overcome this shortcoming, we have given a new definition of the complement set. Moreover, we have proved that a fuzzy rough set is a L-fuzzy set in the ordinary sense. |
| |
| Keywords: | fuzzy set rough set fuzzy rough set L-fuzzy set |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
