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Generating Optimal Fuzzy If-Then Rules Using the Partition of Fuzzy Input Space

  • Conference paper
Multimedia, Computer Graphics and Broadcasting (MulGraB 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 263))

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Abstract

This paper proposes an extendedfuzzy entropy-based-method for selecting an optimal number of fuzzy rules to construct a compact fuzzy classification system with high classification power. An optimal number of rules are generated through the optimal partition of input space via the extended fuzzy entropy to define an index of feature evaluation in pattern recognition problems decreases as the reliability of a feature in characterizing and discriminating different classes increases. A set of fuzzy if-then rules is coded into a string and treated as an individual in genetic algorithms. The fitness of each individual is specified by the two objectives. The performance of the proposed method for training data and test data is examined by computer simulations on the Mackey-Glass chaotic time series prediction.

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Author information

Authors and Affiliations

  1. Dept. of Computer Science, Joongbu University, 101 Daehak-Ro, Chubu-Myeon, Kumsan-Gun, Chungnam, 312-702, South Korea

    In-Kyu Park

  2. Dept. of Internet and Computer Science, Chungwoon University, San 29, Namjang-ri, Hongseong, Chungnam, 350-701, South Korea

    Gyoo-Seok Choi & Jong-Jin Park

Authors
  1. In-Kyu Park
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  2. Gyoo-Seok Choi
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  3. Jong-Jin Park
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Editor information

Editors and Affiliations

  1. Multimedia Engineering Department, Hannam University, 133 Ojeong-dong, Daeduk-gu, Daejeon, Korea

    Tai-hoon Kim

  2. The Ohio State University, 470 Hitchcock Hall, 2070 Neil Avenue, 43210-1275, Columbus, OH, USA

    Hojjat Adeli

  3. Department of Computer and Information Science, University of Michigan – Dearborn, 4901 Evergreen Road, 48128, Dearborn, MI, USA

    William I. Grosky

  4. Florida International University, EC 2910, 10555 W. Flagler Street, 33174, Miami, FL, USA

    Niki Pissinou

  5. National Taipei University of Education, No.134, Sec. 2, Heping E. Rd., Da-an District, 106, Taipei City, Taiwan (R.O.C.)

    Timothy K. Shih

  6. Michigan State University, 48824-1226, East Lansing, MI, USA

    Edward J. Rothwell

  7. School of Computing and Information Systems, University of Tasmania, Hobart, TAS, Australia

    Byeong-Ho Kang

  8. Dept of IT, Hansei University, 604-5, Dangjung-Dong, Gunpo-Si, Gyunggi-Do, Korea

    Seung-Jung Shin

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© 2011 Springer-Verlag Berlin Heidelberg

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Park, IK., Choi, GS., Park, JJ. (2011). Generating Optimal Fuzzy If-Then Rules Using the Partition of Fuzzy Input Space. In: Kim, Th., et al. Multimedia, Computer Graphics and Broadcasting. MulGraB 2011. Communications in Computer and Information Science, vol 263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27186-1_6

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  • DOI: https://doi.org/10.1007/978-3-642-27186-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27185-4

  • Online ISBN: 978-3-642-27186-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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