Fuzzy numbers intuitionistic fuzzy descriptor systems

By using interval type-2 fuzzy systems and fuzzy numbers intuitionistic fuzzy sets, fuzzy numbers intuitionistic fuzzy descriptor systems are proposed in this paper. Their definition is given firstly, and the stability of this kind of systems is studied, the relations of interval type-2 fuzzy systems and T-S fuzzy descriptor systems and fuzzy numbers intuitionistic fuzzy descriptor systems are discussed. Fuzzy numbers intuitionistic fuzzy controller and the stability of fuzzy numbers intuitionistic fuzzy descriptor systems are deeply researched. Fuzzy numbers intuitionistic fuzzy descriptor systems can be better used to solve the problems of actual nonlinear control. Fuzzy numbers intuitionistic fuzzy descriptor systems will be a new research direction, and will become a universal method to solve practical problems. Finally, an example is given to illustrate effectiveness of the proposed method.