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International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems

IPMU 2012: Advances in Computational Intelligence pp 355–364Cite as

Fuzzy Negation and Other Weak Fuzzy Connectives

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 298))

Abstract

This paper deals with some dependencies between fuzzy negations and other fuzzy connectives. The generalized laws of contradiction and excluded middle are considered. Methods for generating fuzzy negation from fuzzy conjunction, disjunction or fuzzy implication together with another fuzzy negation are also presented. In the case of a fuzzy conjunction and disjunction only border conditions and monotonicity are assumed. The results are illustrated by examples of weak fuzzy connectives.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Rzeszów, al. Rejtana 16A, 35-310, Rzeszów, Poland

    Anna Król

Authors
  1. Anna Król
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Editor information

Editors and Affiliations

  1. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco  & Benedetto Matarazzo  & 

  2. Université Pierre et Marie Curie - Paris6, CNRS UMR 7606, DAPA, LIP6 8, rue du Capitaine Scott, F-75015, Paris, France

    Bernadette Bouchon-Meunier

  3. Dip. Matematica e Informatica, Università di Perugia, 06123, Perugia, Italy

    Giulianella Coletti

  4. Department of Computer and Management Science, University of Trento, Via Inama 5, 38122, Trento, Italy

    Mario Fedrizzi

  5. Machine Intelligence Institute, IONA College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2012 Springer-Verlag Berlin Heidelberg

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Król, A. (2012). Fuzzy Negation and Other Weak Fuzzy Connectives. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_38

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  • DOI: https://doi.org/10.1007/978-3-642-31715-6_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31714-9

  • Online ISBN: 978-3-642-31715-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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