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Fuzzy Set-Based Approximate Reasoning and Mathematical Fuzzy Logic

  • Chapter
On Fuzziness

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 298))

Abstract

Zadeh proposed and developed the theory of approximate reasoning in a long series of papers in the 1970’s (see e.g. [28–32, 34, 35]), at the same time when he introduced possibility theory [33] as a new approach to uncertainty modeling. His original approach is based on a fuzzy set-based representation of the contents of factual statements (expressing elastic restrictions on the possible values of some parameters) and of if-then rules relating such fuzzy statements.

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Authors and Affiliations

  1. Consejo Superior de Investigaciones Científicas (CSIC), Institut d’Investigació en Intel·lència Artificial (IIIA), Barcelona, Spain

    Francesc Esteva & Lluís Godo

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  1. Francesc Esteva
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  2. Lluís Godo
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Editors and Affiliations

  1. , Edificio de Investigación, European Centre for Soft Computing, C Gonzalo Gutiérrez Quirós S/N, Mieres, 33600, Spain

    Rudolf Seising

  2. Edificio de Investigación, 3ª Planta., European Centre for Soft Computing, C Gonzalo Gutiérrez Quirós S/N, Mieres, 33600, Asturias, Spain

    Enric Trillas

  3. Edificio de Investigación, 3ª Planta., European Centre for Soft Computing, Asturias, Mieres, 33600, Spain

    Claudio Moraga

  4. , Department of Mathematic and Informatics, Università di Palermo, Via Archirafi 34, Palermo, 90123, Italy

    Settimo Termini

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Esteva, F., Godo, L. (2013). Fuzzy Set-Based Approximate Reasoning and Mathematical Fuzzy Logic. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35641-4_24

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  • DOI: https://doi.org/10.1007/978-3-642-35641-4_24

  • Publisher Name: Springer, Berlin, Heidelberg

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  • Online ISBN: 978-3-642-35641-4

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