| 区间值模糊集之间一种新距离的完备性 |
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| 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 |
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| 作者姓名： | 张艳平 郑明文 |
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| 作者单位： | 山东理工大学理学院,山东淄博,255049 |
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| 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。
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| 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 |
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| 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 |
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| Authors: | ZHANG Yan-ping ZHENG Ming-wen |
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| Affiliation: | (School of Science,Shandong University of Technology,Zibo 255049,China) |
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| 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. |
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| Keywords: | Interval-valued Fuzzy Set Interval-valued Fuzzy Number Completeness |
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