A T-transitive opening of a proximity

Abstract Afast,method ,to compute ,a T-transitive opening,of a ,proximity is given ,for any t- norm, spending O(n,) time. Even though there,is not ,a unique ,T-transitive approximation of a fuzzy relation, it is proved,that the ,computed ,T-transitive opening is maximal. Keywords: Fuzzy ,relation; transitive closure;