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International Conference on Rough Sets and Knowledge Technology

RSKT 2006: Rough Sets and Knowledge Technology pp 333–340Cite as

Relationship Between Inclusion Measure and Entropy of Fuzzy Sets

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4062))

Abstract

Inclusion measure and entropy of fuzzy sets are two basic concepts in fuzzy set theory. In this paper, we investigate the relationship between inclusion measure and entropy of fuzzy sets in detail, propose two theorems that inclusion measure and entropy of fuzzy sets can be transformed by each other based on their axiomatic definitions and give some formulas to calculate inclusion measure and entropy of fuzzy sets.

Supported by the Nature Science Foundation of China (Grant No.60474023), Research Fund for Doctoral Program of Higher Education (20020027013), Science Technology Key Project Fund of Ministry of Education (03184) and Major State Basic Research Development Program of China (2002CB312200).

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Author information

Authors and Affiliations

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

    Wenyi Zeng, Qilei Feng & HongXing Li

Authors
  1. Wenyi Zeng
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  2. Qilei Feng
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  3. HongXing Li
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Editor information

Editors and Affiliations

  1. College of Computer Science and Technology, Chongqing, University of Posts and Telecommunication, 400065, Chongqing, P.R. China

    Guo-Ying Wang

  2. Department of Electrical and Computer Engineering, University of Manitoba, R3T 5V6, Winnipeg, Manitoba, Canada

    James F. Peters

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

    Andrzej Skowron

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

    Yiyu Yao

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© 2006 Springer-Verlag Berlin Heidelberg

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Zeng, W., Feng, Q., Li, H. (2006). Relationship Between Inclusion Measure and Entropy of Fuzzy Sets. In: Wang, GY., Peters, J.F., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2006. Lecture Notes in Computer Science(), vol 4062. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11795131_48

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  • DOI: https://doi.org/10.1007/11795131_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-36297-5

  • Online ISBN: 978-3-540-36299-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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