MATHEMATICAL MODELS OF COMPLEX STRUCTURAL SYSTEMS. A LINGUISTIC VISION

Abstract

The concept of structure is essential in the definition of a system, not only as the basis or backbone of relationships, but also as organization. But where it acquires its most relevant aspect is in ecological or socio-economic 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 theories that the authors have developed a concept of structure that is based on the following assumptions: (1) The attributes may or may not be measurable. (T) Each measurable attribute defines an associative field or vocabulary. (3) The whole of all the vocabularies forms the lexicon. (4) With these elements we can define a language of L(m) models. In this paper, the authors will study the synchronic aspect of structure in complex structural models from the point of view of L(m).