Rough sets and decision rules in fuzzy set-valued information systems

Authors:
Danjun Zhu;Boqin Feng;Tao Guan
Affiliations:
School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an, China;School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an, China;State Key Laboratory of Intelligent Technology and Systems(LITS), Department of Computer Science and Technology, Tsinghua University, Beijing, China
Venue:
MICAI'05 Proceedings of the 4th Mexican international conference on Advances in Artificial Intelligence
Year:
2005

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Abstract

Set-valued Information Systems(SVISs) are generalized forms of Crisp Information Systems(CISs) and common in practice. This paper defines a fuzzy inclusion relation in Fuzzy Set-valued Information Systems(FSVISs). By means of two parameters of inclusion degree λ1 and λ2, we define the rough sets in FSVISs, which are used to approximate fuzzy concepts in FSVISs. Furthermore, in terms of the maximum elements in the lattice derived from the universe according to decision attributes, we present the definitions and measuring methods of decision rules in FSVISs. Some examples have been given for illustration.