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Modelling Fuzzy Sets Using Object-Oriented Techniques

  • Conference paper
Multiple Approaches to Intelligent Systems (IEA/AIE 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1611))

Abstract

This paper describes a new approach to model fuzzy sets using object-oriented programming techniques. Currently, the most frequently used method to model fuzzy sets is by using a pair of arrays to represent the set of ordered pairs, elements and their grades of membership. For continuous fuzzy sets, it is impossible to use infinite number of elements to model, therefore a limited number of array elements are used. Because the grade of membership can be calculated by a membership function, we introduced an approach that models fuzzy set using membership functions directly. Our new approach reduces memory required to model fuzzy sets. Furthermore, grades of membership are calculated dynamically only when needed. Compare with the approach mentioned before, our approach seems to offer advantages in memory space and computation time when modelling systems with complex continuous fuzzy sets.

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Author information

Authors and Affiliations

  1. Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

    Gary Yat Chung Wong & Hon Wai Chun

Authors
  1. Gary Yat Chung Wong
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  2. Hon Wai Chun
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Editor information

Editors and Affiliations

  1. Thinking Machines Corporation, 16 New England Executive Park, 01803, Burlington, MA, USA

    Ibrahim Imam

  2. LRI, UMR CNRS 8623, Bât, 490, Université de Paris-Sud 11, 91405, Orsay, France

    Yves Kodratoff

  3.  ,  

    Ayman El-Dessouki

  4. Department of Computer Science, Texas State University-San Marcos, Nueces 247, 601 University Drive, 78666-4616, San Marcos, TX, USA

    Moonis Ali

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© 1999 Springer-Verlag Berlin Heidelberg

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Wong, G.Y.C., Chun, H.W. (1999). Modelling Fuzzy Sets Using Object-Oriented Techniques. In: Imam, I., Kodratoff, Y., El-Dessouki, A., Ali, M. (eds) Multiple Approaches to Intelligent Systems. IEA/AIE 1999. Lecture Notes in Computer Science(), vol 1611. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48765-4_5

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  • DOI: https://doi.org/10.1007/978-3-540-48765-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66076-7

  • Online ISBN: 978-3-540-48765-4

  • eBook Packages: Springer Book Archive

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