Axiomatic approaches of rough set approximation operators in fuzzy formal contexts

Authors:
Xiao-Xue Song;Xia Wang
Affiliations:
Department of Computer, Xianyang Normal College and Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaan'xi, P. R. China;Department of Applied Mathematics and Physics, Institute of Science, PLA University of Science and Technology, Nanjing, Jiangsu, P. R. China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

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Abstract

The purpose of this paper is to study the axiomatic approaches of rough set approximation operators in fuzzy formal contexts. We first define four types of fuzzy conceptual knowledge system, and then the axiomatic characterization for rough approximations operators is presented. The axioms that must be satisfied by the operators are stated.