Evaluating naval tactical missile systems by fuzzy analytical hierarchy process based on the grade value of membership function

Many decision making problems which are complicated and fuzzy in nature exist in modern society. How to solve them is becoming increasingly important for human society. For solving multiple criteria decision making in a fuzzy environment, in this paper, we will propose a new algorithm for evaluating naval tactical missile systems by the fuzzy Analytical Hierarchy Process based on grade value of membership function. Generally, we are given scores by experience of experts to represent judgmental objects. In this paper, from viewpoint of many experts, we will build membership functions of judgement criteria for all sub-items. When the membership function is built, we can calculate the grade value by data of missile performance. The grade value is called performance score. Our methods can be summarized in the following: (1) Building membership function of judgement criteria for all sub-items; this is called a fuzzy standard. (2) Calculate the grade of membership function by practical data to represent performance scores. (3) Use fuzzy AHP method and entropy concepts to calculate aggregate weights. Finally, for a simple and efficient computation, we have developed a systematic and practical program to calculate all algorithms, and apply the new algorithm to a naval tactical missile systems evaluation and selection problem.