Sychronicity Of Fuzzy Muti-agent Model

In recent years, the multi-agent system(MAS, Multi- Agent System) is widely studied, Multi-agent system has the autonomy, coordination and distribution, and organization skills, learning capacity and inferential capability. Using multi-agent system has a strong reliabilityand has high speed to solve the problem. Usually,multi-agent model has been always assumed that the state of the system and the connection relations can be measured and described accurately, but in fact many system exist uncertainty in internal or external environment, particularly in the field of social science, therefore using the traditional precise model can’t get good results.In the paper, we estiablish Krause type model of uncertainty through fuzzy number,discuss the existence of solution for fuzzy multi-agent model and the synchronization of the state, We prove that the opinion of each agent will eventually converge to a certain limit after a long time enough, different agents will converge to the same opinion or they will never affect each other, however, different agents will converge to the different opinion. It is a traditional extension and supplement of the standard krause’s opinion model.