The Ph.D. thesis of Zoumpoulia Dikopoulou explores the soft computing methodology of fuzzy cognitive mapping. It presents a mathematical description and examines a new methodology based on fuzzy logic techniques for developing fuzzy cognitive maps. The chapter demonstrates their capability and usefulness in modeling complex systems, including an application of fuzzy cognitive maps to modeling and describing the behavior of a heat exchanger system. Additionally, the chapter discusses the potential of this approach for modeling the supervisor of complex systems. It constructs a supervisor to evaluate system performance and presents simulation results, offering insights into its effectiveness.