Mathematical models of complex structural systems. A linguistic vision

The concept of structure is essential in the definition of a system, not on ly as the basis or backbone of relationships, but also as organization. But where it acquires its most relevant aspect is in ecological or socio-econo mic systems, where the number of relationships among objects is very high. At the same time, the structure itself is synchronic and develops, in time, a diachronic behavior. It is from the point of view of modern linguistic t heories that the authors have developed a concept of structure that is base d on the following assumptions: (1) The attributes may or may not be measur able. (2) Each measurable attribute defines an associative field or vocabul ary. (3) The whole of all the vocabularies forms the lexicon. (4) With thes e elements we can define a language of L(m) models. In this paper, the auth ors will study the synchronic aspect of structure in complex structural mod els from the point of view of L(m).