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Operations of Fuzzy Numbers via Genuine Set

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Rough Set and Knowledge Technology (RSKT 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6401))

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Abstract

In this paper, we discuss the arithmetic operations on fuzzy numbers from the point of view of Genuine set. The paper specially studies the operations on triangular fuzzy numbers and presents an effect algorithm to compute them. We divide one general triangular fuzzy number into two symmetric triangular fuzzy numbers by the properties of extension maximum and minimum operations for the convenience of the calculation.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P.R. of China

    Jun Han & Baoqing Hu

Authors
  1. Jun Han
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  2. Baoqing Hu
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Editor information

Editors and Affiliations

  1. School of Computer and Information Technology, Beijing Jiaotong University, 100044, Beijing, China

    Jian Yu

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

    Salvatore Greco

  3. Department of Mathematics and Computing Science, Saint Mary’s University, B3H 3C3, Halifax, Nova Scotia, Canada

    Pawan Lingras

  4. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, 400065, Chongqing, China

    Guoyin Wang

  5. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

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© 2010 Springer-Verlag Berlin Heidelberg

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Han, J., Hu, B. (2010). Operations of Fuzzy Numbers via Genuine Set. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds) Rough Set and Knowledge Technology. RSKT 2010. Lecture Notes in Computer Science(), vol 6401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16248-0_83

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  • DOI: https://doi.org/10.1007/978-3-642-16248-0_83

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16247-3

  • Online ISBN: 978-3-642-16248-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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