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Fuzzy Negation

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Book cover Computing with Words in Information/Intelligent Systems 1

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 33))

Abstract

The linguistic terms negation and complementation are usually used synonymously and often interchangeably in the literature for both crisp and fuzzy notations. In most cases, negation is used where complementation would be in order. We show that, although this collaboration of meanings may be acceptable in the crisp Boolean case, it is generally erroneous in the fuzzy case.

Fuzzy negation is introduced as a fuzzified functional (a fuzzy version) of the fuzzy complement. The properties of this innovative definition are investigated in both the classical and the fuzzy sense.

This work was done while on leave from the Department of Computer Science and Engineering, University of South Florida, Tampa, FL 33620 USA.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, 69978, Israel

    E. Ferri, A. Kandel & G. Langholz

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  1. E. Ferri
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  2. A. Kandel
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  3. G. Langholz
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Editors and Affiliations

  1. Berkeley Initiative in Soft Computing (BISC) Computer Science Division and Electronics Research Laboratory Department of Electrical and Electronics Engineering and Computer Science, University of California, 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

  2. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

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Ferri, E., Kandel, A., Langholz, G. (1999). Fuzzy Negation. In: Zadeh, L.A., Kacprzyk, J. (eds) Computing with Words in Information/Intelligent Systems 1. Studies in Fuzziness and Soft Computing, vol 33. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1873-4_13

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  • DOI: https://doi.org/10.1007/978-3-7908-1873-4_13

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-662-11362-2

  • Online ISBN: 978-3-7908-1873-4

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