【摘要】 针对开放的复杂系统进行研究 ,首次提出并论证脆性是复杂系统的一个基本特性。由复杂系统的脆性特点 ,根据集对分析的理论 ,定义子系统间的脆性联系熵、脆性基元的概念。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。基于复杂系统博弈的动力学 ,建立复杂系统脆性仿真模型 ,仿真结果说明复杂系统的崩溃 ,是由于基元内子系统的熵值在外界干扰过程中不断增加 ,而且又无法从周围环境得到负熵流的补充时 ,达到临界熵值而导致崩溃。更多还原

【Abstract】 The research on complex system has been done in this paper, in which brittleness as one of the basic characteristics is presented and argued. Meanwhile, according to the characteristics of brittleness and theory of set pairing, concepts of brittle link entropy and basic element are defined. Moreover, non cooperative game theory is imported to meet the need of the further research on the brittleness of complex system. Under the environment of non cooperative game dynamics, the brittle simulation model has been established. The results of simulation show that the collapse of complex is due to the entropy increase of subsystems in a brittle element. When the subsystems cannot obtain the negative entropy from the environment, the entropy will reach the critical point of collapse.更多还原