The Basis Algebra in L-Fuzzy Rough Sets

Authors:
Zhengjiang Wu;Lingxiao Yang;Tianrui Li;Keyun Qin
Affiliations:
College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, P.R. China 454000;School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, P.R. China 454000;School of Information Science and Technology, Southwest Jiaotong University, Chengdu, P.R. China 610031;School of Mathematics, Southwest Jiaotong University, Chengdu, P.R. China 610031
Venue:
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Year:
2009

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Abstract

The basis algebra and the binary relation are two important notions in the constructive approach of approximation operators in rough sets theory. This paper discusses the influence of the basis algebra on the properties of approximation operators. The properties of approximation operators based on residuated lattice, IMTL algebra and boolean algebra are presented respectively. Then, the influence of basic algebra on the properties of L-fuzzy rough approximation operators is shown through two examples.