Grey System Theory And Application

The objective world, since the world of matter is the world of information again. Not only it contains a large number of known information, but also a large number of unknown information and non-true knowledge information are contained. The information of unknown or non- true knowledge is called black information; Known information is called white information. Not only contains known information but also contains the system unknown and the information of non- true knowledge, and is called the grey system. The grey system is stressed and studies the probability statistics and is blured " poor information is not the defined the small sample " question that the mathematics can not solved, and covers according to information, the real law is sought in the formation by way of the alignment. His characteristic is " pattern of minority according to builds ". With the blurred mathematics difference is that the object of the research " extension is clear and definite and the intension is not clear and definite " is stressed to the grey system theory. Studying the content chiefly includes: the grey system builds pattern theory and grey system control theory, interrelated analysis method of grey, grey forecasting method, grey planning method and grey policy decision method etc.The nucleus of grey system theory and method is the dynamic model of grey, and his characteristic is comeing or bring into being function and grey differential equation.The dynamic model of grey is comeing or bring into being the function concept with the grey serving as the foundation, and with the differential drawing up closing the pattern the building method for the nucleus, to build pattern thought is directly changing the time alignment to the differential equation grey system, thus builds that the development abstracting the system changes the dynamic model, andnamely Grey's Dynamic's Model,'s brief note is for GM.The interrelated analysis law of grey system is essentially the analysis of interrelated coefficient. Before this beg the interrelated coefficient of the ideal scheme with by the optimum quota forms of each scheme, and by the interrelated coefficient gets interrelated(ly) spending, and according to the dimension of interrelated degree carried on row's order again and the analysis, and reached the conclusion.The grey forecasting is the forecasting that the grey system was done.The grey an ordered series of numbers forecasting is using dynamic GM's model, and the time alignment to the system carries on the forecasting of quantity dimension, and with namelying main action characteristic capacity or certain quota to the system is developed numerical value that changes the emergence to the specially designated or appointed moment of future to calculate.The grey policy decision is regarding the objective with the ash target, and with can the degree of believing is weighed on the grey target the information truly dimension of level.Grey planning chiefly is studying under the preset now available condition, and how to use the resources can gain the biggest beneficial result.The major utilization grey system theory of this text, article, etc. has been in progress applying studying, and has proved the application value in reality of grey system further.