General type-2 FLS with uncertainty generated by fuzzy rough sets

Abstract

In this paper, in the framework of the type-2 fuzzy logic system (FLS), a concept of fuzzification by fuzzy rough sets is introduced. The notion of the general type-2 fuzzy set is found to be concurrent with the fuzzy rough set in the sense of Nakamura. Instead of fuzzifying an input, ahead of time, we may construct a fuzzy rough set which acts as a type-2 fuzzy antecedent set. We demonstrate that general type-2 FLSs with antecedents generated by fuzzy rough sets can handle the uncertainty about the inputs in comparison to type-1 FLSs.