The structures of EI algebras generated by information attributes

Authors:
Xiaodong Liu;Lishi Zhang;Jun Zhou;Kejiu Zhu;Qingling Zhang
Affiliations:
Department of Mathematics and Physics, Dalian Maritime University, Dalian 116026, PR China.;Research Center of Information and Control, Dalian University of Technology, Dalian 116024, China.;College of Sciences, Northeastern University, Shenyang 110004, China.;Department of Mathematics and Physics, Dalian Maritime University, Dalian 116026, PR China.;College of Sciences, Northeastern University, Shenyang 110004, China
Venue:
International Journal of Intelligent Systems Technologies and Applications
Year:
2007

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Abstract

In this paper, we study the algebra structures of EI algebra generated by some attributes in the information systems. In the framework of Axiomatic Fuzzy Sets (AFS) theory, many fuzzy concepts can be extracted by AFS fuzzy logic compound of the attributes in an information systems and the EI algebra can be established on all these fuzzy concepts. The order and build-up of the EI algebra generated by the attributes have been estimated and described. These results can be applied to discover and represent the knowledge connoted in the information systems.