Generalized Rough Set Model on De Morgan Algebras

Author

Zhang, Xiaohong ; Yao, Gang

Author_Institution

Ningbo Univ., Ningbo

fYear

2007

fDate

2-4 Nov. 2007

Firstpage

205

Lastpage

205

Abstract

By introducing the notion of similar topological open subsystem in De Morgan algebra, a pair of general rough approximations based on De Morgan algebra are defined. For the new generalized rough set model on De Morgan algebra (call it first type), some properties are given. Moreover, some uncertainty measures on bounded distribute lattice are introduced, and the relationship between those uncertainty measures and first type generalized rough set model on De Morgan algebra is discussed. Finally, the notion of similar closure subsystem of De Morgan algebra is introduced, and another rough set model on De Morgan algebra is constructed, call it second type generalized rough set model on De Morgan algebra.

Keywords

algebra; approximation theory; rough set theory; De Morgan algebra; bounded distribute lattice; closure subsystem; generalized rough set model; rough approximations; topological open subsystem; uncertainty measures; Biological system modeling; Biology; Boolean algebra; Environmental economics; Lattices; Measurement uncertainty; Medical diagnosis; Process control; Rough sets; Set theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Granular Computing, 2007. GRC 2007. IEEE International Conference on

Conference_Location

Fremont, CA

Print_ISBN

978-0-7695-3032-1

Type

conf

DOI

10.1109/GrC.2007.21

Filename

4403094