Transitive closure of L-fuzzy relations and interval-valued fuzzy relations

This paper introduces some concepts of interval-valued fuzzy relations and some of their properties: reflexivity, symmetry, T-transitivity, composition and local reflexivity. The existence and uniqueness of T-transitive closure of and L-fuzzy relations is proved. An algorithm to compute the T-transitive closure of finite interval-valued fuzzy relations. Some properties and some examples is given for t-representable and t-pseudo representable generalized t-norms.