【作者】 王继尧；

【导师】 荣盘祥；

【作者基本信息】 哈尔滨理工大学 ， 计算机应用技术， 2005， 硕士

【摘要】 在本论文中,首先通过介绍复杂系统研究的现阶段发展情况,说明了研究复杂系统脆性的重要性。接着在介绍复杂系统的同时,给出了本文对复杂系统的定义及判断方法。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。给出了系统的脆性的定义,脆性的特点,以及脆性基元的结构,为复杂系统的脆性的进一步分析建立了理论基础。接着, 在一个脆性基元内,定义了子系统脆性同一、对立、波动,以及脆性联系函数的概念。进而,利用集对分析理论,定义了系统脆性联系熵的概念。进一步,在复杂系统脆性理论的研究中引入非合作博弈的理论,指出正是由于各个子系统为了追求个体利益,而导致了整个复杂系统的整体利益的损失。环境的负熵并非取之不尽,非合作争取负熵的结果导致了系统的脆性激发而崩溃。最后,在非合作博弈状况下对复杂系统脆性进行模拟仿真,仿真结果说明,非合作博弈和系统的脆性熵增是导致系统崩溃的原因,但是通过有效的手段可以使系统免于崩溃。更多还原

【Abstract】 In this paper, according to the development of the present stage on research of complex system importance of research of complex system’s brittleness is pointed out. In the process of introducing complex system, we give the concept of complex system and method of judgement. Secondly, Based on the research of complex system, brittleness as one of the basic characteristics has been presented and argued for the first time. We give the definition of the brittleness, the characteristic of the brittleness, and the structure of the brittle basic element, for further analysis of complex system’s brittleness laid the theoretical foundation. And, brittle sameness, brittle opposite, brittle fluctuation and brittle link function is established in a brittle basic element. Meanwhile, according to set pair theory, concepts of brittle link entropy is defined. Moreover, non-cooperative game theory is applied to meet the need of the research on the brittleness of complex system, just because the different subsystems pursue individual profit, the whole interest of complex system has to see the loss. When the subsystems cannot obtain the negative entropy from the environment, the entropy will reach the critical point of collapse. Finally, 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 basic element and non-cooperative game dynamics, however, the effective means can make the system avoid collapsing.更多还原