Abstract
The challenging problem of modeling and controlling complex systems is investigated using Fuzzy Cognitive Maps (FCMs). A mathematical description of FCM models is presented, new construction methods and an algorithm are developed and extensively examined. The issue of modeling the supervisor of large complex systems is addressed and is modeled using a FCM. A manufacturing example is used to prove the usefulness of the proposed method. The problem of Decision Making process in Decision Analysis is considered and analyzed using FCM models. A successful application of FCM theory in a health problem is provided.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Craiger, J.P., Goodman, D.F., Weiss, R.J., Butler, A.: Modeling Organizational Behavior with Fuzzy Cognitive Maps. Intern. Journal of Computational Intelligence and Organisations 1, 120–123 (1996)
Dickerson, J.A., Kosko, B.: Virtual Worlds as Fuzzy Cognitive Maps. Presence 3, 173–189 (1994)
Hagiwara, M.: Extended Fuzzy Cognitive Maps. In: Proceedings of IEEE Int. Conference on Fuzzy Systems, pp. 795–801 (1992)
Jang, J.S., Sun, C.T., Mizutani, E.: Neuro-Fuzzy and Soft Computing. Prentice Hall, Upper Saddle River (1997)
Kim, H.S., Lee, K.C.: Fuzzy implications of fuzzy cognitive map with emphasis on fuzzy causal relationship and fuzzy partially causal relationship. Fuzzy Sets and Systems 97, 303–313 (1998)
Kosko, B.: Fuzzy Cognitive Maps. Intern. Journal of Man-Machine Studies 24, 65–75 (1986)
Kosko, B.: Neural Networks and Fuzzy Systems. Prentice-Hall, Englewood Cliffs (1992)
Lin, C.T., Lee, C.S.G.: Neural Fuzzy Systems: A Neuro-Fuzzy Synergism to Intelligent Systems. Prentice Hall, Upper Saddle River (1996)
Medsker, L.R.: Hybrid Intelligent Systems. Kluwer Academic Publishers, Norwell (1995)
Nie, J., Linkens, D.: Fuzzy-Neural Control: principles, algorithms and applications. Prentice Hall Europe, Hertfordshire (1995)
Schneider, M., Shnaider, E., Kandel, A., Chew, G.: Automatic construction of FCMs. Fuzzy Sets and Systems 93, 161–172 (1998)
Stylios, C.D., Georgopoulos, V.C., Groumpos, P.P.: Introducing the Theory of Fuzzy Cognitive Maps in Distributed Systems. In: Proceedings of 12th IEEE Intern. Symposium on Intelligent Control, Istanbul, Turkey, pp. 55–60 (1997)
Papageorgiou, E.I., Spyridonos, P., Ravazoula, P., Stylios, C.D., Groumpos, P.P., Nikiforidis, G.: Advanced Soft Computing Diagnosis Method for Tumor Grading. Artif. Intell. Med. 36, 59–70 (2006)
Quinlan, J.R.: C4.5: Programs for machine learning. Morgan Kaufmann, San Mateo (1993)
Papageorgiou, E.I., Spyridonos, P., Ravazoula, P., Stylios, C.D., Groumpos, P.P., Nikiforidis, G.: The Challenge of Using Soft Computing Techniques for Tumor Characterization. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 1031–1036. Springer, Heidelberg (2004)
Kosko, B.: Verac, “ Fuzzy cognitive maps” (1986)
Dickerson, J.A., Kosko, B.: Virtual Worlds as Fuzzy Cognitive Maps. Presence 3, 173–189 (1994)
D’alche-Buc, F., Zwierski, D., Nadal, J.: Trio learning: a new strategy for building hybrid neural trees. Neural Syst. 5(4), 255–274 (1994)
Janssens, D., Wets, G., Brijs, T., Vanhoof, K., Arentze, T., Timmermans, H.: Integrating Bayesian networks and decision trees in a sequential rule-based transportation model. Europ. J. Operat. Research (2005)
Stylios, C.D., Groumpos, P.P.: The Challenge of modeling Supervisory Systems using Fuzy Cognitive Maps. Journal of Intelligent Manufacturing 9(4), 339–345 (1998)
Stylios, C.D., Groumpos, P.P.: Fuzzy Cognitive Maps: A model for Intelligent Supervisory Control Systems. Computers in Industry 39(3), 229–238 (1999)
Stylios, C.D., Groumpos, P.P.: A soft computing approach for modeling the supervisor of manufacturing systems. Journal of Intelligent and Robotics Systems 26(3-4), 389–403 (1999)
Stylios, C.D., Groumpos, P.P., Georgopoulos, V.C.: Fuzzy Cognitive Map Approach to Process Control Systems. J. Advanced Computational Intelligence 3(5), 409–417 (1999)
Stylios, C.D., Groumpos, P.P.: Fuzzy Cognitive Maps in Modeling Supervisory Control Systems. Journal of Intelligent & Fuzzy Systems 8(2), 83–98 (2000)
Groumpos, P.P., Stylios, C.D.: Modeling Supervisory Control Systems using Fuzzy Cognitive Maps. Chaos, Solitons and Fractals 11(1-3), 329–336 (2000)
Stylios, C.D., Groumpos, P.P.: Modeling Complex Systems Using Fuzzy Cognitive Maps. IEEE Transactions on Systems, Man and Cybernetics: Part A Systems and Humans (IF:0,555) 34(1), 155–162 (2004)
Stylios, C.D., Groumpos, P.P.: Fuzzy Cognitive Maps: A soft Computing Technique for Intelligent Control. In: Proceeding 2000 IEEE International Symposium on Intelligent Control, Patras, Greece, July 17-19, pp. 97–102 (2000)
Stylios, C.D., Georgoulas, G., Groumpos, P.P.: The Challenge of Using Soft Computing for Decision Support during Labour. In: Proc. of 23rd Annual International Conference of the IEEE Engineering in Medicine & Biology Society, Istanbul, Turkey, October 25-28 (2001) (CD-ROM)
Stylios, C.D., Christova, N., Groumpos, P.P.: A Hierarchical Modeling Technique of Industrial Plants Using Multimodel Approach. In: Proceeding of 10th IEEE Mediterranean conference on Control and Automation, Lisbon, Portugal, July 9-12 (2002) (CD-ROM)
Christova, N., Stylios, C., Groumpos, P.P.: Production Planning For Complex Plants using Fuzzy Cognitive Maps. In: Proceeding of 7th IFAC Workshop on Intelligent Manufacturing Systems, Budapest, Hungary, April 6-8, pp. 81–86 (2003)
Martchenko, A.S., Ermolov, I.L., Groumpos, P.P., Poduraev, J.V., Stylios, C.D.: Investigating Stability Analysis issues for Fuzzy Cognitive Maps. In: Proc. of 11th IEEE Mediterranean conference on Control and Automation, Rodos, Greece, June 18-20 (2003)
Stylios, C.D., Groumpos, P.P.: Using Fuzzy Cognitive Maps to Achieve Intelligence in Manufacturing Systems. In: Proc. 1st International Workshop on Intelligent Manufacturing Systems, Lausanne, Switzerland, April 15-17, pp. 85–95 (1998)
Stylios, C.D., Georgopoulos, V.C., Groumpos, P.P.: Decision Support System for radiotherapy based on Fuzzy Cognitive Maps. In: Int. Conference in Fuzzy logic and Technology, De Montfort University, Leicester, England, September 5-7, pp. 431–434 (2001)
Glykas, M.: Workflow and Process Management in Printing and Publishing Firms. International Journal of Information Management 24(6), 523–538 (2004)
Xirogiannis, G., Glykas, M.: Intelligent Modeling of e-Business Maturity. Expert Systems with Applications 32/2, 687–702 (2007)
Xirogiannis, G., Stefanou, J., Glykas, M.: A Fuzzy Cognitive Map Approach to Support Urban Design. Journal of Expert Systems with Applications 26(2) (2004)
Xirogiannis, G., Glykas, M.: Fuzzy Cognitive Maps in Business Analysis and Performance Driven Change. Journal of IEEE Transactions in Engineering Management 13(17) (2004)
Xirogiannis, G., Chytas, P., Glykas, M., Valiris, G.: Intelligent impact assessment of HRM to the shareholder value. Expert Systems with Applications 35(4), 2017–2031 (2008)
Sox, J.H.C., Blatt, M.A., Higgins, M.C., Marton, K.I.: Medical Decision Making. Butterworths, Boston (1988)
Krishnan, R., Sivakumar, G., Bhattacharya, P.: Extracting decision trees from trained neural networks. Pattern Recognition 32(12), 1999–2009 (1999)
Heckerman, D., Geiger, D., Chickering, D.M.: Learning Bayesian networks: the combination of knowledge and statistical data. Machine Learning 20, 197–243 (1995)
Podgorelec, V., Kokol, P., Tiglic, S.B., Rozman, I.: Decision Trees: An Overview and Their Use in Medicine. Journal of Medical Systems 26(5) (October 2002)
Papageorgiou, E., Stylios, C., Groumpos, P.: An Integrated Two-Level Hierarchical Decision Making System based on Fuzzy Cognitive Maps (FCMs). IEEE Trans. Biomed. Engin. 50(12), 1326–1339 (2003)
Papageorgiou, E.I., Groumpos, P.P.: A weight adaption method for fine- tuning Fuzzy Cognitive Map causal links. Soft Computing Journal 9, 846–857 (2005) doi:10.10007
Papageorgiou, E.I., Stylios, C.D., Groumpos, P.P.: Unsupervised learning techniques for fine-tuning Fuzzy Cognitive Map causal links. Intern. Journal of Human- Computer Studies 64, 727–743 (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Groumpos, P.P. (2010). Fuzzy Cognitive Maps: Basic Theories and Their Application to Complex Systems. In: Glykas, M. (eds) Fuzzy Cognitive Maps. Studies in Fuzziness and Soft Computing, vol 247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03220-2_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-03220-2_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03219-6
Online ISBN: 978-3-642-03220-2
eBook Packages: EngineeringEngineering (R0)