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Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (6): 507-514.

• 论文 • 上一篇    下一篇

PANSYSTEMS CLUSTERING ANALYSIS OF COMPLEX SYSTEMS

昝廷全1, 吴学谋2   

  1. 1. Northwest Development Institute, Lanzhou University, Lanzhou;
    2. Wuhan Digital Engineering Institute, Wuhan
  • 收稿日期:1991-05-03 出版日期:1992-06-18 发布日期:1992-06-18
  • 基金资助:
    Supported by Lanzhou University key fund project"Modelling Principle and Approaches for Complex Systems

PANSYSTEMS CLUSTERING ANALYSIS OF COMPLEX SYSTEMS

Zan Ting-quan1, Wu Xue-mou2   

  1. 1. Northwest Development Institute, Lanzhou University, Lanzhou;
    2. Wuhan Digital Engineering Institute, Wuhan
  • Received:1991-05-03 Online:1992-06-18 Published:1992-06-18
  • Supported by:
    Supported by Lanzhou University key fund project"Modelling Principle and Approaches for Complex Systems

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摘要： 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.

关键词: semi-equivalence operator, equivalence operator, pansystems clustering, interconnectivity, disconnectivity

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.

Key words: semi-equivalence operator, equivalence operator, pansystems clustering, interconnectivity, disconnectivity

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