%0 Journal Article
%T Lattice Theory Properties of Fuzzy Rough Sets<br>粗糙模糊集的格论性质
%A LIU Gui-Long
%A <br>刘贵龙
%J 计算机科学
%D 2003
%I 
%X Let U denote a finite and nonempty set called the universe, and P(U) a power set. Suppose R is an equiva-lence relation on U. Consider the equivalence relation ≈ (X≈Y←→^-RX=^-R and RX=RY, X,Y, ∈ F(U)) on F(U),the quotient set denoted by F(U)/≈. In this paper we show that F(U)/≈ is a distributive lattice.
%K Rough fuzzy set
%K Distributive lattice
%K Lower approximation
%K Upper approximation<br>粗糙模糊集
%K 格论性质
%K 粗糙集
%K 模糊集
%K 计算机
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=64A12D73428C8B8DBFB978D04DFEB3C1&aid=B65D0764CA2C9490&yid=D43C4A19B2EE3C0A&vid=340AC2BF8E7AB4FD&iid=9CF7A0430CBB2DFD&sid=06EA2770E96C5402&eid=656F8C8401D91023&journal_id=1002-137X&journal_name=计算机科学&referenced_num=1&reference_num=6