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zSlices Based General Type-2 Fuzzy Sets and Systems

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Advances in Type-2 Fuzzy Sets and Systems

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 301))

Abstract

This chapter provides a concise introduction to zSlices based general type-2 fuzzy sets and their associated set-theoretic operations. zSlices based general type-2 fuzzy sets allow the representation of and computation with general type-2 fuzzy sets by modeling each fuzzy set as a series of zSlices, i.e., modified interval type-2 fuzzy sets, thus greatly reducing computational as well as design and implementation complexity. The chapter proceeds to illustrate the role and application of zSlices based general type-2 fuzzy sets as part of general type-2 fuzzy systems and reviews their utility as part of both traditional, control style, as well as more recent applications such as fuzzy set based agreement modeling.

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Author information

Authors and Affiliations

  1. School of Computer Science, University of Nottingham, Wollaton Road, Nottingham, NG8 1BB, UK

    Christian Wagner

  2. School of Computer Science, University of Essex, Wivenhoe Park, Colchester, CO4 3SQ, UK

    Hani Hagras

Authors
  1. Christian Wagner
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  2. Hani Hagras
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Correspondence to Christian Wagner .

Editor information

Editors and Affiliations

  1. Ryerson University, Victoria Street 350, Toronto, M5B 2K3, Ontario, Canada

    Alireza Sadeghian

  2. Hughes Aircraft Electrical Engineering B, Department of Electrical Engineering - S, University of Southern California, 3740 McClintock Ave., Los Angeles, 90089-2564, California, USA

    Jerry M. Mendel

  3. Ryerson University, Victoria Street 350, Toronto, M5B 2K3, Ontario, Canada

    Hooman Tahayori

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Wagner, C., Hagras, H. (2013). zSlices Based General Type-2 Fuzzy Sets and Systems. In: Sadeghian, A., Mendel, J., Tahayori, H. (eds) Advances in Type-2 Fuzzy Sets and Systems. Studies in Fuzziness and Soft Computing, vol 301. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6666-6_5

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  • DOI: https://doi.org/10.1007/978-1-4614-6666-6_5

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6665-9

  • Online ISBN: 978-1-4614-6666-6

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