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Tolerance Rough Fuzzy Approximation Operators and Their Properties

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Machine Learning and Cybernetics (ICMLC 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 481))

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Abstract

In the framework of classification, the rough fuzzy set (RFS) deal with the fuzzy decision tables with discrete conditional attributes and fuzzy decision attribute. However, in many applications, the conditional attributes are often real-valued. In order to deal with this problem, this paper extends the RFS model to tolerance RFS, The definitions of the tolerance rough fuzzy set approximation operators are given, and their properties are investigated.

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Author information

Authors and Affiliations

  1. College of Mathematics and Computer Science, Hebei University, Baoding, 071002, China

    Yao Zhang & Junhai Zhai

  2. Teaching and Research of Section of Mathematics, Hebei Information Engineering School, Baoding, 071000, China

    Sufang Zhang

Authors
  1. Yao Zhang
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  2. Junhai Zhai
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  3. Sufang Zhang
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Corresponding author

Correspondence to Junhai Zhai .

Editor information

Editors and Affiliations

  1. Hebei University, Baoding, China

    Xizhao Wang

  2. Department of Electrical and Computer En, University of Alberta, Edmonton, Alberta, Canada

    Witold Pedrycz

  3. South China University of Technology, Guangzhou, China

    Patrick Chan

  4. Hebei University, Baoding, China

    Qiang He

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© 2014 Springer-Verlag Berlin Heidelberg

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Zhang, Y., Zhai, J., Zhang, S. (2014). Tolerance Rough Fuzzy Approximation Operators and Their Properties. In: Wang, X., Pedrycz, W., Chan, P., He, Q. (eds) Machine Learning and Cybernetics. ICMLC 2014. Communications in Computer and Information Science, vol 481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45652-1_38

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  • DOI: https://doi.org/10.1007/978-3-662-45652-1_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45651-4

  • Online ISBN: 978-3-662-45652-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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