%0 Journal Article
%T Generalized Lower and Upper Approximations in Quantales
%A Qimei Xiao
%A Qingguo Li
%J Journal of Applied Mathematics
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/648983
%X We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively. The properties of generalized lower and upper approximations, constructed by a set-valued mapping, are discussed.
%U http://www.hindawi.com/journals/jam/2012/648983/