From Type 1 to Full Type N Fuzzy System Models

Abstract

We first brief review the essential Type 1 Fuzzy System models. Next we state the well-known FCM algorithm which lets one to extract Type 1 membership values from a given data set for the development of Type 1 fuzzy system models as a foundation for the development of Full Type 2 fuzzy system models. For this purpose, we describe how one can generate Full Type 2 membership value distributions for a development of second order fuzzy system models with our proposed second order data analysis. We also suggest that a recursive restatement of FCM algorithm can allow the generation of Full Type 3 and ... Type n fuzzy system models if one were to investigate such system models in the future. We present our results graphicallyfor TD_Stockprice data with respect to three validity indeces: 1)Xie-Beni's, 2)Celikyilmaz-Turksen's and 3)Bezdek's.