Abstract: Vague relation, as a generalized fuzzy relation, has more powerful ability to process fuzzy information than intuitionistic fuzzy relation in some situations. On the basis of max-t＆min-s compositions, Yang and Shih＇s fuzzy relation based n-step procedure

Key words: Fuzzy relation,Vague relation, max-t ＆ min-s composition, n-step procedure, Clustering algorithm