| 模糊量及模糊数的表现特性 |
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| 引用本文： | 马艳民,吴润衡,王绪柱.模糊量及模糊数的表现特性[J].数学的实践与认识,2007,37(15):7-11. |
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| 作者姓名： | 马艳民 吴润衡 王绪柱 |
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| 作者单位： | 1. 北方工业大学,理学院,北京,100041
2. 太原理工大学,理学院,山西,太原,030024 |
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| 摘 要： | 模糊集的表现定理是模糊数学的最基本理论.在表现定理的基础上,对各种模糊量:包括凸模糊量、正规模糊量、正规凸模糊量、凸有界模糊量、模糊数、有限模糊数、对称模糊数的表现定理进行了深入的研究,从而建立了不同类型模糊量与普通集合之间的联系.
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| 关 键 词： | 集合套 区间套 模糊量 模糊数 |
| 修稿时间： | 2006年11月15 |
Mathematical Representation of Various Fuzzy Quantities |
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| MA Yan-min,WU Run-heng,WANG Xu-zhu.Mathematical Representation of Various Fuzzy Quantities[J].Mathematics in Practice and Theory,2007,37(15):7-11. |
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| Authors: | MA Yan-min WU Run-heng WANG Xu-zhu |
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| Abstract: | The representation theorem of fuzzy sets is the most fundamental in fuzzy mathematics.In this paper,based on general representation theorem,mathematical representation of various fuzzy quantities,which include convex fuzzy quantities,normal fuzzy quantities,fuzzy numbers,symmetric fuzzy number,ect,is investigated;an thus links between different types of fuzzy quantities and ordinary sets are established. |
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| Keywords: | a nest of sets a nest of intervals fuzzy quantities fuzzy number |
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