| 区间值模糊集之间一种新距离的完备性 |
| |
| 引用本文： | 张艳平,郑明文.区间值模糊集之间一种新距离的完备性[J].模糊系统与数学,2012,26(1):32-35. |
| |
| 作者姓名： | 张艳平 郑明文 |
| |
| 作者单位： | 山东理工大学理学院,山东淄博,255049 |
| |
| 摘 要： | 定义区间值模糊集之间的一种新距离d*∞,讨论了这种距离的基本性质,并证明区间值模糊数的距离空间(IΦ*(R),d*∞)是完备的,但它却是不可分的。
|
| 关 键 词： | 区间值模糊集 区间值模糊数 完备性 |
The Completeness of a New Distance between Interval-valued Fuzzy Set |
| |
| ZHANG Yan-ping
,
ZHENG Ming-wen.The Completeness of a New Distance between Interval-valued Fuzzy Set[J].Fuzzy Systems and Mathematics,2012,26(1):32-35. |
| |
| Authors: | ZHANG Yan-ping ZHENG Ming-wen |
| |
| Institution: | (School of Science,Shandong University of Technology,Zibo 255049,China) |
| |
| Abstract: | This paper gives a kind of distance between interval-valued guzzy sets defined on real line R,denoted by d*∞. It shows that the whole space(IΦ*(R),d*∞) is a complete metric space but not a separable metric space. |
| |
| Keywords: | Interval-valued Fuzzy Set Interval-valued Fuzzy Number Completeness |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
