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Triangular Norms — An Overview

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Computational Intelligence in Theory and Practice

Part of the book series: Advances in Soft Computing ((AINSC,volume 8))

Abstract

Historical development of triangular norms theory is recalled. Basic properties of t-norms are discussed. Several examples are included. Then we discuss the algebraic properties of t-norms. Different construction methods including latest ones are described. A special attention is paid to the representation of continuous t-norms. Some related operations and fields of applications are discussed, too. An exhaustive bibliography is included.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Slovak University of Technology, Radlinského 11, 813368, Bratislava, Slovakia

    Radko Mesiar

  2. MÚSAV, Štefánikova 49, 81473, Bratislava, Slovakia

    Radko Mesiar

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  1. Radko Mesiar
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Editors and Affiliations

  1. University of Dortmund, Otto-Hahn-Straße 16, 44227, Dortmund, Germany

    Bernd Reusch  & Karl-Heinz Temme  & 

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Mesiar, R. (2001). Triangular Norms — An Overview. In: Reusch, B., Temme, KH. (eds) Computational Intelligence in Theory and Practice. Advances in Soft Computing, vol 8. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1831-4_3

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  • DOI: https://doi.org/10.1007/978-3-7908-1831-4_3

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1357-9

  • Online ISBN: 978-3-7908-1831-4

  • eBook Packages: Springer Book Archive

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