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International Conference on Fuzzy Systems and Knowledge Discovery

FSKD 2005: Fuzzy Systems and Knowledge Discovery pp 42–52Cite as

Entropy and Subsethood for General Interval-Valued Intuitionistic Fuzzy Sets

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

Abstract

In this paper, we mainly extend entropy and subsethood from intuitionistic fuzzy sets to general interval-valued intuitionistic fuzzy sets, propose a definition of entropy and subsethood , offer a function of entropy and construct a class of subsethood function. Then from discussing the relationship between entropy and subsethood, we know that while choosing the subsethood, we can get some kinds of function of entropy based on subsethood. Our work is also applicable to practical fields such as: neural networks, expert systems, and other.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ocean University of China, Qingdao, 266071, P.R. China

    Xiao-dong Liu, Su-hua Zheng & Feng-lan Xiong

Authors
  1. Xiao-dong Liu
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  2. Su-hua Zheng
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  3. Feng-lan Xiong
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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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Liu, Xd., Zheng, Sh., Xiong, Fl. (2005). Entropy and Subsethood for General Interval-Valued Intuitionistic Fuzzy Sets. 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_6

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  • DOI: https://doi.org/10.1007/11539506_6

  • 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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