@INPROCEEDINGS { Rsds4682,
author = {Liu, Xiaochun and Dai, Jianhua}, 
title = {Rough 3-Valued Lukasiewicz Agebras and MV-Algebras}, 
booktitle = {Proceedings of the Fourth International Conference on Rough Sets and Knowledge Technology (RSKT'2009)}, 
conference = {Rough Sets and Knowledge Technology}, 
series =  = {Lecture Notes in Artificial Intelligence}, 
volume = 5589, 
pages = {30--37}, 
publisher = {Springer-Verlag}, 
address = {Heidelberg - Berlin, Germany}, 
year = 2009, 
editor = {Wen, Peng and Li, Y. and Polkowski, Lech and Yao, Yiyu and Tsumoto, Shusaku and Wang, Guoying}, 
isbn = {978-3-642-02961-5}, 
abstract = {Many researchers study rough sets from the point of view of description of the rough set pairs(a rough set pair is also called a rough set), i.e. (lower approximation set, upper approximation set). Dai [4] showed that all the rough sets in an approximation space constructs a 3-valued Â?ukasiewicz algebra. The constructed algebra is called the rough 3-valued Â?ukasiewicz algebra. It is shown that a rough 3-valued Â?ukasiewicz algebra is an MV-algbra in this paper. The direct relation between rough set theory and MV-algebras is constructed. The definition of rough MV-algebras is also given.}, 
keywords = {rough sets, rough 3-valued lukasiewicz algebras, mv-algebras, }, 
}