Abstract

Nowadays, practical dynamic systems have become more and more complex. The concept of Complex Dynamic Systems (CDS) arises in many scientific fields, technological areas and everyday’s problems. The fundamental basics of complex dynamic systems are briefly presented and discussed. Modelling and simulating complex dynamic systems is a very difficult and challenging task. Different modelling approaches basically focus on the interaction between (microscopic) subsystems and the emergence of new qualities at the (macroscopic) system level. However these models are not sufficient to describe the dynamic behavior of today’s systems. Similarly despite the numerous Simulation methods and large number of simulation software tools many of today’s challenging problems cannot be studied  appropriately and provide satisfactory answers. It seems that the uncertainty and fuzziness been inevitably present on these systems make the problems more difficult. The new models of Fuzzy Cognitive Maps are proposed as a new modelling approach for CDS. The need for new advanced models and new simulation methods is apparent taking into consideration the presence of human nature in all system processes, as well as the fuzzy and uncertaint environment. Some conclusions and future research directions are provided.