Interval Type-2 Fuzzy Logic System Based on Semi-Tensor Product

Compared with type-1 fuzzy sets, interval type-2 fuzzy sets have stronger ability to deal with uncertainty. In this paper, the semi-tensor product approach is used to study interval type-2 fuzzy logic systems (IT2 FLSs). Firstly, the semi-tensor product of matrix is extended to interval matrix. Secondly, using the semi-tensor product algorithm, IT2 FLS is improved, and a new IT2 FLS is designed. Finally, its effectiveness is tested by simulation. The simulation results demonstrate that the designed IT2 FLS has a similar control effect to the conventional IT2 FLS, and can effectively simplify the fuzzy reasoning process of the multi-input multi-output systems.