Evaluating a weapon system using catastrophe series based on fuzzy scales

Abstract

We propose a new algorithm for evaluating a guided missile destroyer by catastrophe series based on fuzzy scales, which is a multiple criteria decision making approach in a fuzzy environment. The descriptions and judgements on weapon systems are usually linguistic and fuzzy. We use the triangular fuzzy number 1/spl tilde/, 3/spl tilde/, 5/spl tilde/, 7/spl tilde/, and 9/spl tilde/ to indicate the relative strength of the elements in the judgement matrix, its elements use a comparison of the performance scores. Our method does not require the subjective weight vector with the corresponding criteria. It utilizes catastrophe series to evaluate multi-goal decision making problems, including cusp, swallowtail and butterfly catastrophe models. However, it is subject to criteria /spl les/4 for decision making problems. Therefore, we derive an extension formula for decision making problems with 5 criteria, which is a wigwam catastrophe model. The catastrophe series method is used in a multiple attribute decision making problem in a conflict environment (i.e., all criteria have different degrees of importance). A fuzzy decision problem is solved and an example of weapon system selection is used to illustrate our method and compare it with other methods.