Intuitionistic and Type-2 Fuzzy Logic
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We describe in this chapter two new areas in fuzzy logic, type-2 fuzzy logic systems and intuitionistic fuzzy logic. Basically, a type-2 fuzzy set is a set in which we also have uncertainty about the membership function. Of course, type-2 fuzzy systems consist of fuzzy if-then rules, which contain type-2 fuzzy sets. We can say that type-2 fuzzy logic is a generalization of conventional fuzzy logic (type-1) in the sense that uncertainty is not only limited to the linguistic variables but also is present in the definition of the membership functions. On the other hand, intuitionistic fuzzy sets can also be considered an extension of type-1 fuzzy sets in the sense that intuitionistic fuzzy sets not only use the membership function, but also a non-membership function to represent the uncertainty of belonging to a fuzzy set.
KeywordsMembership Function Fuzzy System Fuzzy Logic System Membership Grade Secondary Membership Function
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