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International Fuzzy Systems Association World Congress

IFSA 2003: Fuzzy Sets and Systems — IFSA 2003 pp 16–29Cite as

Binary Operations on Fuzzy Sets: Recent Advances

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2715))

Abstract

The main aim of this paper is to summarize recent advances on operations on fuzzy sets. First a detailed description of our present knowledge on left-continuous t-norms is presented. Then some new classes of associative operations (uninorms, nullnorms, t-operators) are reviewed. Finally we demonstrate the role of the evaluation scales (especially the case of totally ordered finite sets) in the choice of operations.

Supported in part by FKFP 0051/2000 and by the Bilateral Scientific and Technological Cooperation Flanders-Hungary BIL00/51 (B-08/2000).

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Author information

Authors and Affiliations

  1. Department of Biomathematics and Informatics Faculty of Veterinary Science, Szent István University, István u. 2, H-1078, Budapest, Hungary

    János Fodor

Authors
  1. János Fodor
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Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Taner Bilgiç

  2. Dept. of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, 9000, Gent, Belgium

    Bernard De Baets

  3. Department of Electrical and Electronics Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Okyay Kaynak

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Fodor, J. (2003). Binary Operations on Fuzzy Sets: Recent Advances. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_2

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  • DOI: https://doi.org/10.1007/3-540-44967-1_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40383-8

  • Online ISBN: 978-3-540-44967-6

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