| 基于超模糊运算的模糊群 |
| |
| 引用本文： | 刘婷娟,魏贵明. 基于超模糊运算的模糊群[J]. 西南民族学院学报(自然科学版), 2007, 33(6): 1284-1288 |
| |
| 作者姓名： | 刘婷娟 魏贵明 |
| |
| 作者单位： | 成都理工大学应用数学系 四川成都610051 |
| |
| 摘 要： | 给出了像经典群的定义那样规范的模糊群的定义,及其等价定义,提出了交换模糊群的概念,并继续讨论了模糊群和子模糊群及其模糊陪集的一些性质.由于模糊群具有和群一样经典的结构,因此,使模糊代数的深入研究有了充分的理论基础.
|
| 关 键 词： | 超模糊运算 模糊群 子模糊群 模糊陪集 |
| 文章编号： | 1003-2843（2007）06-1284-05 |
| 收稿时间： | 2007-06-27 |
| 修稿时间： | 2007-06-27 |
The fuzzy group based on exceeded fuzzy operation |
| |
| LIU Ting-juan. The fuzzy group based on exceeded fuzzy operation[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2007, 33(6): 1284-1288 |
| |
| Authors: | LIU Ting-juan |
| |
| Abstract: | The canonical definition and equivalent definition of fuzzy group as the definition of classical group is given. The concept of Abelian fuzzy group is introduced. Furthermore,some properties of fuzzy group,sub-fuzzy-group and fuzzy coset are discussed. Because fuzzy group has the same canonical structure as group,it is useful for us to further study fuzzy algebra. |
| |
| Keywords: | exceeded fuzzy operation fuzzy group sub-fuzzy-group fuzzy coset |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
