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The FCN Framework: Development and Applications

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Abstract

The Fuzzy Cognitive Network(FCN) framework is a proposition for the operational extension of fuzzy cognitive maps to support the close interaction with the system they describe and consequently become appropriate for adaptive decision making and control applications. They constitute a methodology for data, knowledge, and experience representation based on the exploitation of theories such as fuzzy logic and neurocomputing. This chapter presents the main theoretical results related to the FCN development based on theorems specifying the conditions for the uniqueness of solutions for the FCN concept values. Moreover, case application studies are given, each one demonstrating different aspects of the design and operation of the framework.

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References

  • Aguilar, J. (2002). Adaptive random fuzzy cognitive maps. BERAMIA 2002, Lecture Notes in Artificial Intelligence 2527, F. J. Garijio, J. C. Riquelme and M. Toro, eds, Springer-Verlag Berlin Heidelberg, pages 402–410.

    Google Scholar 

  • Aivasidis, A. and Diamantis, V. (2005). Biochemical reaction engineering and process development in anaerobic wastewater treatment. Advances in Biochemical Engineering/ Biotechnology, volume 92, pages 49–76.

    Google Scholar 

  • Axelrod, R. (1976). Structure of Decision, the Cognitive Maps of Political Elites. Princeton University Press, Princeton, NJ.

    Google Scholar 

  • Bahgat, A. (2005). Maximum power point tracking controller for PV systems using neural networks. Renewable Energy, volume 30, pages 1257–1268.

    Article  Google Scholar 

  • Boutalis, S. Y., Kottas, L. T., Mertzios B., and Christodoulou, A. M. (2005). A fuzzy rule based approach for storing the knowledge acquired from dynamical FCMs. 5 th International Conference on Technology and Automation, pages 119–124.

    Google Scholar 

  • Forster, C. and Wase, D. (1987). Environmental Biotechnology. Ellis Horwood Limited, England.

    Google Scholar 

  • Georgopoulos, V. C., Malandraki, G. A., and Stylios, C. D. (2003). A Fuzzy Cognitive Map approach to differential diagnosis of specific language impairment. Artificial Intelligence in Medicine, volume 29, number 3, pages 261–278.

    Article  Google Scholar 

  • Hiyama, T., Kouzuma, S., and Imakubo, T. (1995). Identification of optimal operating point of PV modules using neural network for real time maximum power tracking control. IEEE Transactions on Energy Conversion, volume 10, number 2, pages 360–367.

    Article  Google Scholar 

  • Hua, C. and Shen, C. (1998). Study of maximum power tracking techniques and control of DC/DC converters for photovoltaic power system. 29th Annual IEEE Power Electronics Specialists Conference.

    Google Scholar 

  • Huerga, A. (2002). A balanced differential learning algorithm in fuzzy cognitive maps. Proceedings of the Sixteenth International Workshop on Qualitative Reasoning.

    Google Scholar 

  • Kandasamy, V. and Smarandache, F. (2003). Fuzzy cognitive maps and neutrosophic cognitive maps. ProQuest Information and Learning (University of Microfilm International).

    Google Scholar 

  • Karlis, A., Kottas, T., and Boutalis, Y. (2007). A novel maximum power point tracking method for PV systems using fuzzy cognitive networks (FCN). Electric Power Systems Research, volume 77, number 3–4, pages 315–327.

    Article  Google Scholar 

  • Khan,M., Khor, S., and Chong, A. (2004). Fuzzy cognitive maps with genetic algorithm for goal-oriented decision support. International Journal Uncertainty, Fuzziness and Knowledge-based Systems, volume 12, pages 31–42.

    Article  Google Scholar 

  • Kosko, B. (1986a). Fuzzy cognitive maps. International Journal of Man-Machine Studies, volume 24, pages 65–75.

    Article  MATH  Google Scholar 

  • Kosko, B. (1986b). Differential Hebbian learning. Proceedings American Institute of Physics; Neural Networks for Computing, pages 277–282.

    Google Scholar 

  • Kosko, B. (1997). Fuzzy Engineering. Prentice-Hall, Englewood Cliffs, NU.

    MATH  Google Scholar 

  • Kottas, L. T., Boutalis, S. Y., and Christodoulou, A. M. (2005). A new method for weight updating in Fuzzy cognitive Maps using system Feedback. 2nd International Conference on Informatics in Control, Automation and Robotics, pages 202–209.

    Google Scholar 

  • Kottas, L. T. Boutalis, S. Y. and Christodoulou, A. M. (2007a). Fuzzy cognitive networks: A general framework. Intelligent Decision Technologies, volume 1, number 4, pages 183–196.

    Google Scholar 

  • Kottas, T. L., Boutalis, Y. S., Devedzic, and G., Mertzios, B. G. (2004). A new method for reaching equilibrium points in fuzzy cognitive maps. Proceedings of 2nd International IEEE Conference of Intelligent Systems, pages 53–60.

    Google Scholar 

  • Kottas, T., Boutalis, Y., Diamantis, V., Kosmidou, O., and Aivasidis, A. (2006). A fuzzy cognitive network based control scheme for an anaerobic digestion process. 14th Mediterranean Conference on Control and Applications, poster session.

    Google Scholar 

  • Kottas, L. T., Boutalis, S. Y., and Karlis, A. (2007b). A new maximum power point tracker for PV arrays using fuzzy controller in close cooperation with fuzzy cognitive networks. IEEE Transactions on Energy Conversion, volume 21, number 3, pages 793–803.

    Article  Google Scholar 

  • Koulouriotis, D., Diakoulakis, I., and Emiris, D. (2001). Learning fuzzy cognitive maps using evolution strategies: A novel schema for modeling a simulating high-level behavior. Proceedings of IEEE Congress on Evolutionary Computation, volume 1, pages 364–371.

    Google Scholar 

  • Koutroulis, E., Kalaitzakis, K., and Voulgaris, N. (2001). Development of a microcontroller-based, photovoltaic maximum power point tracking control system. IEEE Transactions on Power Electronics, volume 16, number 1, pages 46–54.

    Article  Google Scholar 

  • Liu, Z. Q. and Zhang, J. Y. (2003). Interrogating the structure of fuzzy cognitive maps. Soft Computing, volume 7, number 3, pages 148–153.

    MATH  Google Scholar 

  • Marchaim, U. (1992). Biogas Processes for Sustainable Development. FAO Agricultural Services Bulletin 95, Food and Agriculture Organization of the United Nations.

    Google Scholar 

  • Masoum, M., Dehbonei, H., and Fuchs, E. (2002). Theoretical and experimental analyses of photovoltaic systems with voltage- and current-based maximum power-point tracking. IEEE Transactions on Energy Conversion, volume 17, number 4, pages 514–522.

    Article  Google Scholar 

  • Miao, Y., Liu, Z., Siew, C., and Miao, C. (2001). Dynamical cogntive Network-an extension of fuzzy cognitive map. IEEE Transactions on Fuzzy Systems, volume 9, number 5, pages 760–770.

    Article  Google Scholar 

  • Miyamoto, K. (1997). Renewable Biological Systems for Alternative Energy Production. FAO Agricultural Services Bulletin 128, Food and Agriculture Organization of the United Nations.

    Google Scholar 

  • Miyatake, M., Kouno, T., and Nakano, M. (2002). A simple maximum power tracking control employing fibonacci search algorithm for power conditioners of photovoltaic generators. 10th International Power Electronics and Motion Control Conference (EPE-PEMC 2002) Cavtat and Dubrovnik.

    Google Scholar 

  • Nemerow, N. and Dasgupta, A. (1991). Industrial and Hazardous Waste Treatment. Van Nostrand Reinhold, New York.

    Google Scholar 

  • Papageorgiou, E. and Groumpos, P. (2004). A weight adaptation method for fuzzy cognitive maps to a process control problem. Lecture Notes in Computer Science 3037 (Vol. II), M. Budak et al. (Intern. Conference on Computational Science, ICCS 2004, Krakow, Poland, 69 June), Springer Verlag, pages 515–522.

    Google Scholar 

  • Papageorgiou, E., Parsopoulos, K., Stylios, C., Groumpos, P., and Vrahatis, M. (2005). Fuzzy cognitive maps learning using particle swarm optimization. International Journal of Intelligent Information Systems, volume 25, number 1, pages 95–121.

    Article  Google Scholar 

  • Papageorgiou, E., Stylios, C., and Groumpos, P. (2004). Active Hebbian learning algorithm to train fuzzy cognitive maps. International Journal of Approximate Reasoning, volume 37, number 3, pages 219–247.

    Article  MATH  MathSciNet  Google Scholar 

  • Ro, K. and Rahman, S. (1998). Two-loop controller for maximizing performance of a grid-connected photovoltaic-fuel cell hybrid power plant. IEEE Transactions on Energy Conversion, volume 13, number 3, pages 276–281.

    Article  Google Scholar 

  • Rudin, W. (1964). Principles of Mathematical Analysis. McGraw-Hill Inc., pages 220–221.

    Google Scholar 

  • Salameh, Z. and Taylor, D. (1990). Step-up maximum power point tracker for photovoltaic arrays. Solar Energy, volume 44, pages 57–61.

    Article  Google Scholar 

  • Simoes, M. and Franceschetti, N. (1999). Fuzzy optimization based control of a solar array. Electric Power Applications, IEE Proceedings, volume 146, number 5, pages 552–558.

    Article  Google Scholar 

  • Skiadas, I., Gavala, H., Schmidt, J., and Ahring, B. (2003). Anaerobic granular sludge and biofilm reactors. Advances in Biochemical Engineering/Biotechnology, volume 82, pages 35–67.

    Article  Google Scholar 

  • Smarandache, F. (2001). An introduction to neutrosophy, neutrosophic logic, neutrosophic set, and neutrosophic probability and statistics. Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics University of New Mexico – Gallup, volume 1, pages 5–22.

    Google Scholar 

  • Stach,W., Kurgan, L., Pedrycz,W., and Reformat,M. (2005). Genetic learning of fuzzy cognitive maps. Fuzzy Sets and Systems, volume 153, number 3, pages 371–401.

    MATH  MathSciNet  Google Scholar 

  • Stylios, C. and Groumpos, P. (1999). A soft computing approach for modelling the supervisor of manufacturing systems. Journal of Intelligent and Robotics Systems, volume 26, number 34, pages 389–403.

    Article  Google Scholar 

  • Stylios, C. and Groumpos, P. (2004). Fuzzy cognitive maps in modeling supervisory control systems. Journal of Intelligent and Fuzzy Systems, volume 8, pages 83–98.

    Google Scholar 

  • Stylios, C., Groumpos, P., and Georgopoulos, V. (2006). A fuzzy cognitive maps approach to process control systems. Journal of Intelligent and Robotics Systems, volume 26, number 3, pages 389–403.

    Article  Google Scholar 

  • Won, C. (1994). A new maximum power point tracker of photovoltaic arrays using fuzzy controller. 25th Annual IEEE Power Electronics Specialists Conference, volume 1, number 20–25, pages 396–403.

    Google Scholar 

  • Zhang, W., Chen, S. and Bezdek, J. (1989). Pool2: A generic system for cognitive map development and decision analysis. Proceedings of 2nd International IEEE Conference of Intelligent Systems, volume 19, number 1, pages 31–39.

    Google Scholar 

  • Zhang, W., Chen, S., Wang, W., and King, R. (1992). A cognitive map based approach to the coordination of distributed cooperative agents. IEEE Transactions on Systems, Man, and Cybernetics, volume 22, number 1, pages 103–114.

    Article  Google Scholar 

  • Zhang, J. Y., Liu, Z., and Zhou, S. (2006). Dynamic domination in fuzzy causal networks. IEEE Transactions on Fuzzy Systems, volume 14, number 1, pages 42–57.

    Article  Google Scholar 

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Correspondence to Yiannis S. Boutalis .

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Boutalis, Y.S., Kottas, T.L., Christodoulou, M.A. (2010). The FCN Framework: Development and Applications. In: Skiadas, C. (eds) Advances in Data Analysis. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4799-5_21

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