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Note on Interval-Valued Fuzzy Set

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Fuzzy Systems and Knowledge Discovery (FSKD 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3613))

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Abstract

In this note, we introduce the concept of cut set of interval-valued fuzzy set and discuss some properties of cut set of interval-valued fuzzy set, propose three decomposition theorems of interval-valued fuzzy set and investigate some properties of cut set of interval-valued fuzzy set and mapping H in detail. These works can be used in setting up the basic theory of interval-valued fuzzy set.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing, 100875, P.R. China

    Wenyi Zeng & Yu Shi

  2. Department of Medical Epidemiology and Biostatistics, Karolinska Institutet, Stockholm, SE171 77, Sweden

    Wenyi Zeng

Authors
  1. Wenyi Zeng
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  2. Yu Shi
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. Honda Research Institute Europe GmbH, Offenbach/Main, Germany

    Yaochu Jin

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© 2005 Springer-Verlag Berlin Heidelberg

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Zeng, W., Shi, Y. (2005). Note on Interval-Valued Fuzzy Set. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_3

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  • DOI: https://doi.org/10.1007/11539506_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28312-6

  • Online ISBN: 978-3-540-31830-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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