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On (⊥,⊺)-generalized fuzzy rough sets

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Fuzzy Information and Engineering

Abstract

In the present paper, we mainly discuss the (⊥,⊺)-generalized fuzzy rough sets introduced by B.Q. Hu and Z.H. Huang with both constructive approach and axiomatic approach considered. In the former, we started from the investigation of the properties of the ⊥-upper and ⊺-lower approximation operators generated by binary fuzzy relations. In the latter, by defining a pair of fuzzy set-theoretic operators, we show (⊥,⊺)-fuzzy rough approximation operators can be characterized by different sets of axioms.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P.R.China

    Wen-Sheng Du & Bao-Qing Hu

  2. Department of Mathematics, College of Information Science and Technology, Jinan University, Guangzhou, 510632, P.R.China

    Yan Zhao

Authors
  1. Wen-Sheng Du
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  2. Bao-Qing Hu
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  3. Yan Zhao
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Corresponding authors

Correspondence to Wen-Sheng Du or Bao-Qing Hu.

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Du, WS., Hu, BQ. & Zhao, Y. On (⊥,⊺)-generalized fuzzy rough sets. Fuzzy Inf. Eng. 4, 249–259 (2012). https://doi.org/10.1007/s12543-012-0114-0

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  • DOI: https://doi.org/10.1007/s12543-012-0114-0

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