The Study Of Coherent Complex System Brittleness

From World War II, general system theory and operations research , cybernetics , discipline such as information theory , artificial intelligence have got rapid progress , these discipline uninterrupted growth has establish system science basis, and promoted the system engineering application in reality forcefully. System science is one to study complicated system basic law comprehensiveness inter-disciplines , whose fundamental mission is to probe complexity , seeks the simple law containing in complicated system. That the present stage , system science large amount work is that law , the complexity carrying out probing complicated system study mainly. Complicated system scale with the development of society economy , science and technology, being related to nation's economy and people's livelihood is more and more big. Once one build in complicated system is systematic that breakdown happened but unable regular job , entire complex system may lose its due function, and the globality breakdown appears.The thesis is an object of study with complex system , suggests that brittleness is a basic characteristic property of complex system , is that complex system has brittleness except having the opening to the outside world , complexity , huge amounts , evolution and spring up , arrangement of ideas. And, pointing out a brittleness basic characteristic property as complex system is objective reality's. In produces the brittleness definition, the characteristic and above the model foundation, has established the complex system brittle related concept, and uses in this theory to the complex system performance analysis and the appraisal forecast.First, carry out investigation and discussion on complex system theory. Development process and historical origins having recollected complex system theory in the thesis , in, has given complicated system that theory achievement gets synthetically at present out definition , complex system sort has classified, fundamental characteristic property and the adecker having introduced the complex system structure characteristic, and based on the algebra set theory establishment complex system mathematics description model, then aims at complex system brittleness this question which pays attention, the use level modelling, method and so on method of weighting, in produces the complex system in mathematics description foundation, also has produced the system complexity degree judgement method, the complex system basic partunim portance and so on the concept.Owing to complex system brittleness definition and fundamental characteristic, have given a complex system brittleness effect out a model. The thesis has described amounts by the fact that the concept leading into brittleness risk entropy charge is complex system brittleness behavior way's , has analysed complex system brittleness arousing the characteristic property leading to breakdown, and the use coherent connection system theory and a generalized connection method of correlates describe between the complex system subsystem brittleness function way, the brittleness connection and so on. Then to had the typical brittle behavior characteristic an example complex system example—coal mine gas accident production to make the applied analysis.Finally, the model had mature complex system risk analysis theory establishment analysis appraisal complex system model brittleness method. In to the reliability theory and in the complex system brittleness theory its full understanding foundation, unifies the two, in the model reliability theory applies a maturer such as chart theory, the net work analysis, the level modelling, theory tool and so on probability statistics and application stochastic process applies to based on describes its characteristic goal to the complex system brittleness modelling then realization.