再次，建立了复杂系统脆性研究的理论基础。
Thirdly, theoretical basis of complex system brittleness has been set up.
将复杂系统脆性理论应用于分析煤矿事故系统。
Brittleness theories of complex system are applied to analyze the coal mine accident system.
根据复杂系统脆性的定义，提出了脆性是复杂系统的一个基本特征。
According to the definition, brittleness is one of the basic characteristics of complex system.
其次，为了形象化说明复杂系统脆性的概念，提出了多米诺骨牌模型、金字塔与倒金字塔模型、元胞自动机模型等几种基本模型。
Secondly, domino model, pyramid model, reverse pyramid model, and cellular automaton model have been presented in order to explain the concepts of brittleness clearly.
同时将非合作博弈的理论和方法引入到复杂系统崩溃的脆性的研究中，指出子系统之间的非合作博弈是复杂系统脆性的一个根源。
The collapse brittleness of complex system was studied using the noncooperative game theory to provide theoretical basis for control of complex systems.
复杂系统脆性重点强调崩溃的连锁效应，即由于复杂系统中的某一子系统的崩溃，引发的连锁的崩溃效应，会使整个复杂系统崩溃。
Brittleness emphasizes on the collapsed chain effect that is triggered by the collapse of one subsystem and will result in the breakdown of whole complex system.
以突变理论、静态分叉理论、奇异性理论等为基础，对复杂系统的脆性问题进行了深入的研究。
Based on the catastrophe theory, static bifurcation theory and singularity theory, to research the brittleness problems of complex system.
同时，将非合作博弈的理论和方法引入到复杂系统的脆性的研究中。
Moreover, non cooperative game theory is imported to meet the need of the further research on the brittleness of complex system.
在主孔2000米之内，存在复杂的脆性破裂系统和构造应力场。
There exist a complex brittle fracture system and a tectonic stress field within 2000 m of the main hole.
将复杂系统的脆性理论引用到黄河灾害的研究。
The brittleness theory of complex system is applied to the study of disasters of the Yellow River for the first time.
其次，在对复杂系统的研究的基础之上，首次提出脆性是复杂系统的一个基本特性。
Secondly, Based on the research of complex system, brittleness as one of the basic characteristics has been presented and argued for the first time.
分析了复杂系统崩溃的过程，引出脆性源、崩溃、脆性接收者和脆性度的定义。
The process of collapse of brittleness in complex systems has been analyzed. The definition of brittle resource, collapse, brittle recipient and brittle degree are given.
由复杂系统的脆性特点，依据集对分析理论，定义了子系统间的脆性联系。
Based on the theory of set pairing and the brittleness character of complex system, the brittle link between the subsystems was defined.
在没有控制的情况下，整个复杂系统的有序状态将会被破坏，最终崩溃，这就是复杂系统的脆性。
Without available control, the entire society system will become out-of-order, finally it will be (collapsed, ) which is the brittleness of complex system.
由于复杂系统具有层次结构，本文采用模糊层次分析法(FAHP)对复杂系统进行了脆性分析。
There is hierarchical structure in complex system. In this paper, we analyze the brittleness of complex system with the Fuzzy Analytic Hierarchy Process (FAHP).
在界定概念的脆性，脆性联系熵的基本要素，非合作博弈理论在研究一个复杂系统的脆性以及它的实用性进行了探讨。
After defining concepts of brittleness, brittle link entropy, and basic element, non-cooperative game theory and its usefulness in research on the brittleness of a complex system were explored.
在界定概念的脆性，脆性联系熵的基本要素，非合作博弈理论在研究一个复杂系统的脆性以及它的实用性进行了探讨。
After defining concepts of brittleness, brittle link entropy, and basic element, non-cooperative game theory and its usefulness in research on the brittleness of a complex system were explored.
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