Evaluating weapon systems based on grey relational analysis and fuzzy arithmetic operations

In this paper, we propose a new and simple method for evaluating weapon systems by an analytic hierarchy process based on grey relational analysis and fuzzy arithmetic operations, which is a multiple criteria decision-making approach in a fuzzy environment. Since the rank score matrix of the proposed method is generated by the grey relational analysis, it provides a systematic approach to describe the rank score of each criterion item. Also because the proposed method utilizes the simplified fuzzy arithmetic operations of fuzzy numbers rather than the fuzzy scales method or the complicated entropy weight calculations, its execution time is shorter than the previous methods. An example of tactical missile systems selection is utilized to illustrate the performance evaluation process of a weapon system. It can be seen that the simulation result is coincident with the conventional methods.