Axiomatic design gives a design map to designers in order to establish a scientific basic for design and to improve design activities. In the Axiomatic Approach, the relationship between functional requirements and design parameters has been defined by 0 or 1. This definition, sometimes, restrict designers under the situation that there are incomplete information or uncertainty. In this study, the use of the axiomatic design principles is discussed under fuzzy environment. New formulas are presented to calculate independence of the design. Moreover, the usability of the methodology is given by a numerical example in this study. Proposed methodology provides the designers to explain the relationship between FRs and DPs in linguistic form.