This paper discusses a fuzzy based computational algorithm used in the development of an artificial emotion model for the social robot. In this design, the system synthesizes the emotion behavior by combining a second order equation of emotion and the fuzzy inference. A trigger mechanism activated by behavior is also integtated in the system to change the dynamic characteristics of the emotion model. The emotion dynamic output is smoothed by using the fuzzy algorithm in order to result a natural emotional expressions .The program structure of the concluded emotion behavior generation systems is established by using the methods of behavioral-based structure which meticulous and diverse outputs behavior of the system in reacts of the outputs of second order equation of emotion model and fuzzy inference from external sensory and features inputs. The system is build and simulated with the LabVIEW and output an artificial facial expression on the screen to demonstrate the effectiveness of the design.