@INPROCEEDINGS { Rsds4682,
author = {Liu, Xiaochun and Dai, Jian-Hua},
title = {Rough 3-Valued Lukasiewicz Agebras and MV-Algebras},
booktitle = {Proceedings of the Fourth International Conference on Rough Sets and Knowledge Technology (RSKT'2009)},
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, },
}