ENBIS-13 in Ankara
15 – 19 September 2013
Abstract submission: 5 February – 5 June 2013
Full Type 2 ... Full Type n Fuzzy System Models.
16 September 2013, 15:05 – 15:25
- Submitted by
- Burhan Turksen
- Burhan Turksen (TOBB University of Economics and Technology)
- We first present a brief review of the essentials fuzzy system models: Namely (1) Zadeh`s rulebase model, (2) Takagi and Sugeno`s model which is partly a rule base and partly a regression function and (3) Türkşen fuzzy regression functions where a fuzzy regression function correspond to each fuzzy rule. Next we review 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 provide an algorithm which lets one to generate Full Type 2 membership value distributions for a development of second order fuzzy system models with our proposed second order data analysis. If required one can generate Full Type 3,..., Full Type n fuzzy system models with an iterative execution of our algorithm. We present our results graphically for TD-Stockprice data with respect to two validity indeces, namely: 1) Çelikyılmaz-Türkşen and 2) Bezdek indices.
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