Soft rough sets based on similarity measures

Authors:
Keyun Qin;Zhenming Song;Yang Xu
Affiliations:
College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China;College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China;College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China
Venue:
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
Year:
2012

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Abstract

This paper is devoted to the discussion of the combinations of fuzzy set, rough set and soft set. Based on the analysis of the existing soft fuzzy rough approaches, the notions of similarity measures induced by soft set and soft fuzzy set are presented. Some new soft fuzzy rough set models are proposed by introducing confidence threshold values. The related lower and upper approximation operators are presented and their properties are surveyed.