%0 Book Section %T Computing a T-transitive opening of a proximity publisher World Scientific %D 2008 %U 978-981-279-946-3 %@ https://hdl.handle.net/20.500.14352/53160 %X A fast method to compute a T-indistinguishability from a reflexive and symmetric fuzzy relation is given for any left-continuous t-norm, taking O(n(3)) time complexity, where n is the number of elements in the universe. It is proved that the computed fuzzy relation is a T-transitive opening when T is the minimum t-norm or a strictly growing t-norm. As far as we know, this is the first known algorithm that computes T-transitive openings preserving the reflexive and symmetric properties. %~