A new algorithm to compute low T-transitive approximation of a fuzzy relation preserving symmetry. Comparisons with the T-transitive closure

Abstract

It is given a new algorithm to compute a lower T-transitive approximation of a fuzzy relation that preserves symmetry. Given a reflexive and symmetric fuzzy relation, the new algorithm computes a T-indistinguishability that is contained in the fuzzy relation. It has been developed a C++ program that generates random symmetric fuzzy relations or random symmetric and reflexive fuzzy relations and computes their T-transitive closure and the new low T-transitive approximation. Average distances of the fuzzy relation with the T-transitive closure are similar than the average distances with the low T-transitive approximation. © Springer-Verlag Berlin Heidelberg 2005.