| Fuzzy映射与F基数 |
| |
| 引用本文： | 李洪兴,罗承忠.Fuzzy映射与F基数[J].高校应用数学学报(A辑),1994(2):177-186. |
| |
| 作者姓名： | 李洪兴 罗承忠 |
| |
| 作者单位： | 北京师范大学 |
| |
| 摘 要： | 本文定义了从一个Ｆｕｚｚｙ集到另外一个Ｆｕｚｚｙ集的映射，称之为Ｆｕｚｚｙ映射，它不同于以往人们习惯用的“模糊映射”；给出了Ｆｕｚｚｙ映射的等价条件并研究了Ｆｕｚｚｙ映射的性质；基于这样的Ｆｕｚｚｙ映射定义了Ｆｕｚｚｙ映集的基数简称为Ｆ基数，讨论了它的基本性质；最后说明了Ｆ基数对于连续统假设的影响。
|
| 关 键 词： | F基数 模糊映射 模糊集 |
FUZZY MAPPINGS AND FUZZY CARDINAL NUMBERS |
| |
| Li Hongxing,Luo Chengzhong,Yuan Xuehai,Wang Peizhuang.FUZZY MAPPINGS AND FUZZY CARDINAL NUMBERS[J].Applied Mathematics A Journal of Chinese Universities,1994(2):177-186. |
| |
| Authors: | Li Hongxing Luo Chengzhong Yuan Xuehai Wang Peizhuang |
| |
| Abstract: | As one of the most important concepts,mappings are researched sufficiently.In this paper,we discuss in detail the properties of fuzzy mappings and give the definition for fuzzy cardinal numbers which are the cardinal numbers of fuzzy sets and is a difficult problem in fuzzy mathematics.It is considered that fuzzy mappings will lay a good foundation for researching fuzzy calculus. |
| |
| Keywords: | Fuzzy Relations Fuzzy Mappings Fuzzy Cardinal Numbers CH |
| 本文献已被 CNKI 维普 等数据库收录！ |
