Soft Minimum-Enclosing-Ball Based Robust Fuzzy Rough Sets

Authors:
Shuang An;Qinghua Hu;Daren Yu;Jinfu Liu
Affiliations:
Northeastern University, Shenyang 110819, P.R.China and Harbin Institute of Technology, Harbin 150001, P.R.China;(Correspd.) Post Box 458, Harbin Institute of Technology, Harbin 150001, P.R.China. huqinghua@hit.edu.cn;Post Box 458, Harbin Institute of Technology, Harbin 150001, P.R.China;Harbin Institute of Technology, Harbin 150001, P.R.China
Venue:
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
Year:
2012

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Abstract

The theory of fuzzy rough sets is claimed to be a powerful mathematical tool for dealing with uncertainty in data analysis. Unluckily, the classical model of fuzzy rough sets is sensitive to noisy information. This disadvantage limits the applicability of the model in practice. In this work, we present a robust fuzzy rough set model based on soft minimum enclosing ball, and introduce a new fuzzy dependency function with this model. Some properties of the new model are discussed. Finally, we conduct some experiments to test the effectiveness of the proposed model, and experimental results show that the soft minimum enclosing ball-based fuzzy rough set model is robust to noise.