Research On Brittleness Of Colliery System Based On Entropy And Non-Cooperation Game Theory

Along with the development of society and the improvement in technology , systems become huger and huger , more and more complex. Therefore the study of complex system becomes the hotspot.At present, complex system is widely considered as the system,which is characterized by openness , complexity , giant , evolution , emergence and hierarchy. However,while the complex system is running,because of the interferences of internal uncertainty and evolution of interior imperfection , a minimum interference may cause the subsystem to collapse,which leads the whole system to be into the disorder state and collapse.So the brittleness conception is risen.In this paper,firstly,through introducing the current stage development of complex system,that shows the importance of doing research on complex system brittleness.Then while introducing the complex system,this paper gives the definition and judgement method of complex system.Secondly , this paper brings forward that brittleness is the basic characteristic of complex system,then gives the definition of the brittleness, the characteristics of the brittleness and the structure of the brittle basic element . These theories establish the theoretical foundation for further analysing of complex system brittleness . Then , brittle sameness , brittle opposite,brittle fluctuation and brittle link function is established in a brittle basic element.Meanwhile,according to set pair theory,concept of brittle link entropy is defined.Moreover , non-cooperative game theory is applied to brittleness of complex system,just because the different subsystems pursue the individual profit,the whole interest of complex system has to see the loss.However, the negative entropy is not unlimited,when the subsystems cannot obtain the negative entropy from the enviroment,the entropy will reach the critical point of collapse.Based on that,we analyse the brittleness process of colliery gas explosion under the enviroment of non-cooperative game dynamics and establishe the brittle simulation model.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 methods can make the system delay or even avoid collapsing.Finally,regarding the present town colliery as a example of brittleness degree.In the situation of no interference,the trend of interior brittleness degree will be steady in a period.In this period,the probability of accident will be in a high level,so the government must controll the accident.Comparing the differences among supervising,human being,technique and equipment, the effective method to controll the accident will be found.