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Calculus with Fuzzy Numbers

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Intelligent Media Technology for Communicative Intelligence (IMTCI 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3490))

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Abstract

Algebra of ordered fuzzy numbers (OFN) is defined to handle with fuzzy inputs in a quantitative way, exactly in the same way as with real numbers. Additional two structures: algebraic and normed (topological) are introduced to define a general form of defuzzyfication operators. A useful implementation of a Fuzzy Calculator allows counting with the general type membership relations.

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Author information

Authors and Affiliations

  1. Polish-Japanese Institute of Information Technology, Research Center, ul. Koszykowa 86, 02-008, Warsaw, Poland

    Witold Kosiński & Dominik Ślęzak

  2. Institute of Fundamental Technological Research, PAS (IPPT PAN), PSWiP, ul.Świętokrzyska 21, 00-049, Warsaw, Poland

    Piotr Prokopowicz

  3. University of Bydgoszcz Institute of Environmental Mechanics, and Applied Computer Science, ul. Chodkiewicza 30, 85-064, Bydgoszcz, Poland

    Piotr Prokopowicz

  4. Department of Computer Science, The University of Regina, Regina, SK, S4S 0A2, Canada

    Dominik Ślęzak

Authors
  1. Witold Kosiński
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  2. Piotr Prokopowicz
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  3. Dominik Ślęzak
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Editor information

Editors and Affiliations

  1. Institute of Computer Science, Polish Academy of Science, Ordona 21, 01-237, Warsaw, Poland

    Leonard Bolc

  2. School of Computer Science, University of Adelaide, 5005, Adelaide, SA, Australia

    Zbigniew Michalewicz

  3. Dept. of Intelligence Science and Technology, Graduate School of Informatics, Kyoto University, Japan

    Toyoaki Nishida

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© 2005 Springer-Verlag Berlin Heidelberg

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Kosiński, W., Prokopowicz, P., Ślęzak, D. (2005). Calculus with Fuzzy Numbers. In: Bolc, L., Michalewicz, Z., Nishida, T. (eds) Intelligent Media Technology for Communicative Intelligence. IMTCI 2004. Lecture Notes in Computer Science(), vol 3490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558637_3

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  • DOI: https://doi.org/10.1007/11558637_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29035-3

  • Online ISBN: 978-3-540-31738-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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