| 序有界模糊n-方体数集的上确界与下确界 |
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| 引用本文： | 王桂祥,赵春晖.序有界模糊n-方体数集的上确界与下确界[J].模糊系统与数学,2005,19(1):100-105. |
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| 作者姓名： | 王桂祥 赵春晖 |
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| 作者单位： | 1. 哈尔滨工程大学,信息与通信工程学院,黑龙江,哈尔滨,150001;杭州电子科技大学,理学院,浙江,杭州,310018
2. 哈尔滨工程大学,信息与通信工程学院,黑龙江,哈尔滨,150001 |
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| 摘 要： | 本文中，我们讨论了在定义模糊n-方体数值映射的某种类型的积分时要用到的序有界模糊n-方体数集的上确界与下确界的问题。我们证明了序有界模糊n-方体数集的上、下确界的存在性，并给出了它们的表示。
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| 关 键 词： | 模糊数 模糊n-方体数 嵌入定理 上确界 下确界 |
Supremum and Infimum of Order Bounded Sets of Fuzzy n-cell Numbers |
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| WANG Gui-xiang,ZHAO Chun-hui.Supremum and Infimum of Order Bounded Sets of Fuzzy n-cell Numbers[J].Fuzzy Systems and Mathematics,2005,19(1):100-105. |
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| Authors: | WANG Gui-xiang ZHAO Chun-hui |
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| Institution: | WANG Gui-xiang~ |
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| Abstract: | In this paper, we discuss the problems of supremum and infimum of order bounded sets of fuzzy n-cell numbers, that is useful in the definition of some kind of integral about fuzzy n-cell number value (mappings.) We show the existence of supremum and infimum, and give out the expressions of supremum and infimum about order bounded sets of fuzzy n-cell numbers. |
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| Keywords: | Fuzzy Number Fuzzy n-cell Number Embedding Theorem Supremum Infimum |
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