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Type-2 Fuzzy Logic and the Modelling of Uncertainty

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Fuzzy Sets and Their Extensions: Representation, Aggregation and Models

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 220))

Abstract

This chapter provides a review of the development of the field of type-2 fuzzy logic. We explore some underpinning philosophical arguments that support the notion of type-2 fuzzy logic. We give the fundamental definitions of type-2 fuzzy sets and basic logical operations. The key stages in development of the field are reviewed and placed in a historical context. In addition, we report an example application of type-2 fuzzy logic to mobile robot navigation, demonstrating the potential of type-2 fuzzy systems to outperform type-1 fuzzy systems.

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Authors
  1. Simon Coupland
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  2. Robert John
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Editor information

Editors and Affiliations

  1. Department of Automatics and Computation, Universidad Pública de Navarra, Campus Arrosadia s/n, 31006 Pamplona, Spain

    Humberto Bustince

  2. Department of Computer Science and Artificial Intelligence (DECSAI), University of Granada, Periodista Daniel Saucedo Aranda s/n, 18071 Granada, Spain

    Francisco Herrera

  3. Faculty of Mathematics, Universidad Complutense, Plaza de las Ciencias 3, 28040 Madrid, Spain

    Javier Montero

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Coupland, S., John, R. (2008). Type-2 Fuzzy Logic and the Modelling of Uncertainty. In: Bustince, H., Herrera, F., Montero, J. (eds) Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Studies in Fuzziness and Soft Computing, vol 220. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73723-0_1

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  • DOI: https://doi.org/10.1007/978-3-540-73723-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

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  • Online ISBN: 978-3-540-73723-0

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