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Type 1 and Full Type 2 Fuzzy System Models

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Fifty Years of Fuzzy Logic and its Applications

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 326))

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Abstract

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 application results graphically for TD_Stockprice data with respect to two validity indeces, namely: (1) Çelikyılmaz-Türkşen and (2) Bezdek indeces.

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Authors and Affiliations

  1. Department of Industrial Engineering, TOBB-Economy and Technology University, Sögütözü Cad. no:43, 06560, Sögütözü, Ankara/Turkey

    I. Burhan Türkşen

  2. Director-Knowledge/Intelligence Systems Laboratory, Department of Mechanical & Industrial Engineering, University of Toronto, M5S 3G8, Toronto, ON, Canada

    I. Burhan Türkşen

Authors
  1. I. Burhan Türkşen
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Correspondence to I. Burhan Türkşen .

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Editors and Affiliations

  1. Department of Computer Science, Texas State University, San Marcos, Texas, USA

    Dan E. Tamir

  2. School of Computing and Information Sciences, Florida International University, Miami, Florida, USA

    Naphtali D. Rishe

  3. School of Computing and Information Sciences, The University of South Florida, Tampa, Florida, USA, and Florida International University, Miami, Florida, USA

    Abraham Kandel

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Burhan Türkşen, I. (2015). Type 1 and Full Type 2 Fuzzy System Models. In: Tamir, D., Rishe, N., Kandel, A. (eds) Fifty Years of Fuzzy Logic and its Applications. Studies in Fuzziness and Soft Computing, vol 326. Springer, Cham. https://doi.org/10.1007/978-3-319-19683-1_30

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  • DOI: https://doi.org/10.1007/978-3-319-19683-1_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19682-4

  • Online ISBN: 978-3-319-19683-1

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