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In this paper, we introduce non-stationary type-2 fuzzy set (NST2FS), which is the important extension of its type-1 counterpart. NST2FS has distinct characteristics with uncer-taro membership function and alteration over time. According to different mathematical formalizations of instantaneous T2FS,NST2FS can be divided into two categories, i.e. homogeneous or heterogeneous NST2TSs. The paper concentrates on homo-geneous continuous NST2TS, whose each instantaneous T2FS iscontinuous. a plane representation theorem is the cogent tool
to deal with the basic set operators (intersection, union and complement) and approximate fuzzy reasoning. Some selected important properties are also proved in the process. On this basis, non-stationary type-2 fuzzy logic system (NST2FLS)is discussed in the following section, which focuses on the elaboration of its calculation procedure. One numerical case,that is burred or logic operator, is carried out in order to evaluate the superior performance of our proposing NST2FLS.
to deal with the basic set operators (intersection, union and complement) and approximate fuzzy reasoning. Some selected important properties are also proved in the process. On this basis, non-stationary type-2 fuzzy logic system (NST2FLS)is discussed in the following section, which focuses on the elaboration of its calculation procedure. One numerical case,that is burred or logic operator, is carried out in order to evaluate the superior performance of our proposing NST2FLS.