复杂系统的泛系聚类方法
Pansystems Clustering Analysis of Complex Systems
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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.Abstract: In this paper,by use of equivalence operators δi and semi-equivalence operators δi we study the clustering problems of complex systems,present δ(1,3)disconnection principle,dual transformation principle and large-scale systems decomposition principle for analizing and operating complex systems,discuss inter connectivity 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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[1] 咎廷全、汪愚康.李百炼,泛系生态聚类生克分析,科学探索,6(3)(1986). [2] 吴学谋.《从泛系观看世界》,中国人民大学出版社(1990). [3] 吴学谋.咤逼近转化论与数学中的泛系概念》.湖南科技出版社(1985). [4] 臀廷全,泛系方法论概述,系统T程.6(1988),19-20. -
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