On (⊥,⊺)-generalized fuzzy rough sets

Wen-Sheng Du (), Bao-Qing Hu () and Yan Zhao
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Wen-Sheng Du: Wuhan University
Bao-Qing Hu: Wuhan University
Yan Zhao: Jinan University

Fuzzy Information and Engineering, 2012, vol. 4, issue 3, 249-259

Abstract: 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.

Keywords: (⊥; ⊺)-fuzzy rough sets; (⊥; ⊺)-generalized fuzzy rough sets; Fuzzy relation; Fuzzy sets (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s12543-012-0114-0

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