A Naïve Construction Model of Membership Function

General documents on fuzzy description logic are rarely concerned with construction approaches of membership functions in fuzzy sets. We present a theoretical framework of hierarchically constructing membership functions, called naïve membership function model, by using the theory of type 2 fuzzy sets and of level 2 fuzzy sets in fuzzy sets. Such a framework can be viewed as a pre-model for fuzzy description logic, and the construction of fuzzy description logic knowledge bases can take this framework as its basis.