| 复杂系统的泛系聚类方法 |
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| 引用本文： | 昝廷全,吴学谋.复杂系统的泛系聚类方法[J].应用数学和力学,1992,13(6):489-495. |
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| 作者姓名： | 昝廷全 吴学谋 |
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| 作者单位： | 1.兰州大学西北开发研究所; |
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| 基金项目： | 兰州大学重大基金课题“复杂系统的建模原理与方法”资助 |
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| 摘 要： | 本文利用半等价算子εi和相等化算子δi研究了复杂系统的聚类问题;阐述了分析运筹复杂系统的δ(1,3)解耦原理、对偶转化原理和大系统分解原理;详细讨论了复杂系统的连通性与解耦性并提供了有关定理.最后,利用泛系聚类方法讨论了复杂系统的层次分析.
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| 关 键 词： | 半等价算子 等价化算子 泛系聚类 连通性 解耦性 |
| 收稿时间： | 1991-05-03 |
Pansystems Clustering Analysis of Complex Systems |
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| Zan Ting-quan.Pansystems Clustering Analysis of Complex Systems[J].Applied Mathematics and Mechanics,1992,13(6):489-495. |
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| Authors: | Zan Ting-quan |
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| Institution: | 1.Northwest Development Institute, Lanzhou University, Langzhou;2.Wuhan Digital Engineering Institute, Wuhan |
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| Abstract: | In this paper, by use of equivalence operators and semi-equivalence operators e, we study the clustering problems of complex systems, present 5(1,3) disconnection principle, dual transformation principle and large-scale systems decomposition principle for analizing and operating complex systems, discuss interconnectivity and disconnectivity of complex systems in detail and present some related theorems. Finally, we discuss the levels of systems according to pansystems clustering approach proposed in this paper. |
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| Keywords: | semi-equivalence operator equivalence operator pansystems clustering interconnectivity disconnectivity |
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