DocumentCode
3318675
Title
Rough approximations in complete Boolean lattice
Author
Yang, Qingjie ; Chen, Ci ; Qi, Zhiquan
Author_Institution
Sch. of Inf., Renmin Univ. of China, Beijing, China
fYear
2005
fDate
30 Oct.-1 Nov. 2005
Firstpage
791
Lastpage
795
Abstract
We study rough approximations in a lattice-theoretical setting. We first explore two pairs of rough approximations in complete Boolean lattice which mimic the pawlak rough approximations. Properties of each pair of upper and lower approximation operators in complete Boolean lattice setting are then studied. Furthermore, we show that the two pairs of rough approximations we present are equivalent in case when the lattice map is extensive and closed.
Keywords
Boolean algebra; mathematical operators; rough set theory; approximation operators; complete Boolean lattice; lattice-theory; pawlak rough approximations; rough set theory; Books; Educational institutions; Lattices; Set theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Language Processing and Knowledge Engineering, 2005. IEEE NLP-KE '05. Proceedings of 2005 IEEE International Conference on
Print_ISBN
0-7803-9361-9
Type
conf
DOI
10.1109/NLPKE.2005.1598844
Filename
1598844
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