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International Conference on Rough Sets and Knowledge Technology

RSKT 2006: Rough Sets and Knowledge Technology pp 208–215Cite as

Covering-Based Generalized Rough Fuzzy Sets

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

Abstract

This paper presents a general framework for the study of covering-based rough fuzzy sets in which a fuzzy set can be approximated by some elements in a covering of the universe of discourse. Some basic properties of the covering-based lower and upper approximation operators are examined. The concept of reduction of a covering is also introduced. By employing the discrimination matric of the covering, we provide an approach to find the reduct of a covering of the universe. It is proved that the reduct of a covering is the minimal covering that generates the same covering-based fuzzy lower (or upper) approximation operator, so this concept is also a technique to get rid of redundancy in data mining. Furthermore, it is shown that the covering-based fuzzy lower and upper approximations determine each other.

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Author information

Authors and Affiliations

  1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei, 050016, P.R. China

    Tao Feng & Jusheng Mi

  2. College of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, P.R. China

    Tao Feng

  3. Information College, Zhejiang Ocean University, Zhoushan, Zhejiang, 316004, P.R. China

    Weizhi Wu

Authors
  1. Tao Feng
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  2. Jusheng Mi
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  3. Weizhi Wu
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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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Feng, T., Mi, J., Wu, W. (2006). Covering-Based Generalized Rough 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_30

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  • DOI: https://doi.org/10.1007/11795131_30

  • 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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