Mathematical Modeling of Control Systems using Fuzzy Cognitive Maps: Challenging Issues

Peter P. Groumpos


Mathetical modeling, Fuzzy cognitive maps, Hierarchical systems, Control systems


The challenging problem of modeling and analyzing complex control systems is investigated using advanced methods of Fuzzy Cognitive Maps. Challenges issues of mathematical modeling in general control systems are briefly reviewed and the problems arised using standard control method in the presence of uncertainty are presented. The need to model hierarchical systems using new and advanced methods based on Fuzzy Systems and Soft Computing is demonstrated. The issue of modeling two-level structural hierarchical systems is discussed and such a system is modeled using FCMS. An example from the pharmaceutical industries is used to prove the usefulness of using FCMs. Simulation results are given and interesting conclusions are provided.

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