An inversion method for interval type-2 fuzzy logic systems

It is a known fact that type-2 fuzzy sets can represent highly nonlinear and/or uncertain systems much better than ordinary (type-1) fuzzy logic systems. Lately, interval type-2 fuzzy logic system inversion methods have been proposed and applied in various areas especially in control system design. In this study, an analytical methodology has been developed to form the inverse of the interval type-2 fuzzy models composed of four rules. However, since the interval type-2 fuzzy logic system output can not be presented in a closed form an iterative algorithm is proposed based on the developed analytical methodology. In order to demonstrate the feasibility of the proposed methodology, an illustrative study is given where the beneficial sides are shown clearly.