Optimistic multi-granulation fuzzy rough set model based on triangular norm

Authors:
Weihua Xu;Wenxin Sun;Yufeng Liu
Affiliations:
School of Mathematics and Statistics, Chongqing University of Technology, Chongqing, P.R. China;School of Mathematics and Statistics, Chongqing University of Technology, Chongqing, P.R. China;School of Mathematics and Statistics, Chongqing University of Technology, Chongqing, P.R. China
Venue:
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
Year:
2012

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Abstract

With granular computing point of view, the generalized T-fuzzy rough set model is based on a single fuzzy granulation in a T-fuzzy approximation space. This paper is devoted to the construction and study of the multi-granulation rough set based on triangular norm by defining the optimistic multi-granulation T-fuzzy lower and upper approximation operators in the generalized T-fuzzy approximation space. It is obvious that the generalize T-fuzzy lower and upper approximation operators defined on (U,R) are obtained as a special case of these operators. The main properties of the T-fuzzy lower and upper approximation operators are also studied.