Generalized upper and lower approximations in set-valued information systems

Authors:
Qiong Liu;Zheng Pei;Liangzhong Yi;Jilin Yang
Affiliations:
School of Mathematics & Computer Engineering , Xihua University, Chengdu, Sichuan, China;School of Mathematics & Computer Engineering , Xihua University, Chengdu, Sichuan, China;School of Mathematics & Computer Engineering , Xihua University, Chengdu, Sichuan, China;School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China
Venue:
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Year:
2009

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Abstract

Under the framework of set-valued information system, based on application of quantifiers and OWA operator, the definition on upper and lower approximations is generalized to the common form associated with the parameter λ ∈ [0; 1]. The advantage of such generalization is that it could be flexibly used by restriction of additional linguistic quantifier, and is favorable to the further discussion on knowledge reduction and rules extraction in such model.