@INPROCEEDINGS { Rsds4215,
author = {Li, Tong-Jun}, 
title = {On Axiomatic Characterization of Approximation Operators Based on Atomic Boolean Algebras}, 
booktitle = {Rough Sets and Knowledge Technology}, 
conference = {Rough Sets and Knowledge Technology}, 
series =  = {Lecture Notes in Computer Science}, 
volume = 4062, 
pages = {129--134}, 
publisher = {Springer-Verlag}, 
address = {Heidelberg - Berlin, Germany}, 
year = 2006, 
editor = {Wang, Guoying and Peters, James F. and Skowron, Andrzej and Yao, Yiyu}, 
isbn = {978-3-540-36297-5}, 
abstract = {In this paper, we focus on the extension of the theory of rough set in lattice-theoretic setting. First we introduce the definition for generalized lower and upper approximation operators determined by mappings between two complete atomic Boolean algebras. Then we find the conditions which permit a given lattice-theoretic operator to represent a upper (or lower) approximation derived from a special mapping. Different sets of axioms of lattice-theoretic operator guarantee the existence of different types of mappings which produce the same operator.}, 
keywords = {approximation operators, atomic boolean algebras, mappings, rough sets, }, 
}