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Extension Principle of Interval-Valued Fuzzy Set

  • Conference paper
Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

Abstract

In this paper, we introduce maximal and minimal extension principles of interval-valued fuzzy set and an axiomatic definition of generalized extension principle of interval-valued fuzzy set and use concepts of cut set of interval valued fuzzy set and interval-valued nested sets to explain their construction procedure in detail. These conclusions can be applied in some fields such as fuzzy algebra, fuzzy analysis and so on.

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P.R. China

    Wenyi Zeng & Hongxing Li

  2. Department of Basic Course, Institute Of Disaster Prevention Science And Technology, Yianjiao East of Beijing,101601, P.R. China

    Yibin Zhao

Authors
  1. Wenyi Zeng
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  2. Yibin Zhao
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  3. Hongxing Li
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Editor information

Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Zeng, W., Zhao, Y., Li, H. (2007). Extension Principle of Interval-Valued Fuzzy Set. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_14

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

  • eBook Packages: EngineeringEngineering (R0)

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