Evaluating the Main Battle Tank Using Fuzzy Number Arithmetic Operations

Abstract

Since the descriptions and judgements on weapon systems are usually linguistic and fuzzy,
it is more realistic to evaluate weapon systems in the framework of fuzzy sets theory. In this
paper, a new method to evaluate the best main battle tank is proposed. It can be seen that the
proposed method is more efficient due to the fact that, by canonical representation of arithmetic
operation on fuzzy numbers, simple arithmetic operations on crisp numbers are used, instead of
complicated fuzzy numbers operations. In addition, the final scores of each alternative can be
represented as crisp numbers. As a result, the order of alternatives can be determined without
the procedure of ranking fuzzy numbers. Finally, a numerical example to evaluate the best main
battle tanks is used to illustrate the efficiency of the proposed method.