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
fDate :
30 Oct.-1 Nov. 2005
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;
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
DOI :
10.1109/NLPKE.2005.1598844
