Axiomatic design (AD) provides a framework to describe design objects and a set of axioms to evaluate relations between intended functions and the means by which they are achieved. Since AD has the characteristics of multi-attribute evaluation, it is proposed for multi-attribute comparison of some alternatives. The comparison of these alternatives is made for the cases of both complete and incomplete information. The crisp AD approach for complete information and the fuzzy AD approach for incomplete information are developed. In this chapter, the numeric applications of both crisp and fuzzy AD approaches for the comparison of flexible-manufacturing systems are given.