Robustness Analysis Of Interval Type-2 Fuzzy Logic Systems

Fuzzy logic systems (FLSs) have been successfully used in various modeling and control applications. More importantly, we are witnessing an increasing interest in using interval type-2 FLSs (IT2 FLSs) for numerous applications. Interval type-2 fuzzy logic system has practical significance because it has advantage of handling uncertainty. However, robustness, defined as the tolerance of an FLS to handle a maximum desired output deviation, is not usually considered in the design process of FLSs, and hence there is a need for an in-depth investigation.The paper firstly the basic situation and development profile of the fuzzy control and point out the problems and development prospects in current areas of research about Type-1 fuzzy logic system and Type-2 fuzzy logic system.Secondly, a series of definitions, its manifestations and some of the basic theory of operation about Type-2 fuzzy is elaborated, and the example of Type-2 fuzzy set is given on this basis. And then we expand of Type-2 fuzzy set on the theoretical basis of the previous theory. Then, the basic structure of Type-2 fuzzy set is given according to the theory of it. We also demonstrate the implementation process of each component of the structure in detail.Finally, we provide background on IT2 TSK FLSs. We present a methodology for the robustness analysis of IT2 FLSs. Our approach is general and can be used to analyze the robustness of T1 FLSs as well. To demonstrate the effectiveness of the proposed methodologies, two examples are presented, and it is concluded that T1 and IT2 FLSs exhibit robust behaviors, and in some cases IT2 FLSs shows enhanced robust performance than T1.