Abstract
The chapter is devoted to applications of selected methods of computational intelligence: evolutionary algorithms and artificial neural networks, in identification of physical systems being under the uncertain conditions. Uncertainties can occur in boundary conditions, in material coefficients or some geometrical parameters of systems and are modeled by three kinds of granularity: interval mathematics, fuzzy sets and theory of probability. In order to evaluate fitness functions the interval, fuzzy and stochastic finite element methods are applied to solve granular boundary-value problems for considered physical systems. Several numerical tests and examples of identification of uncertain parameters are presented.
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References
Arbib, M.A. (ed.): The Handbook of Brain Theory and Neural Networks. MIT Press, Cambridge (1995)
Bargiela, A., Pedrycz, W.: Granular Computing: An introduction. Kluwer Academic Publishers, Boston (2002)
Beluch, W., Burczyński, T., Orantek, P.: The Two-Stage Fuzzy Strategy in identification of laminates elastic constants. In: The Proceedings of the CMM 2007 Conference, Lodz-Spala (2007)
Bui, H.D.: Inverse Problems in the Mechanics of Materials: An Instroduction. CRC Press, Bocca Raton (1994)
Burczyński, T., Beluch, W., Długosz, A., Orantek, P., Skrobol, A.: Inteligent computing in inverse problems. Computer Assisted Mechanics and Engineering Sciences 13, 161–206 (2006)
Burczyński, T., Długosz, A., Dziatkiewicz, G., Orantek, P.: Identification of the uncertain parameters in coupled problems. In: The Proceedings of the CMM 2007 Conference, CD-Edition, Lodz-Spala (2007)
Burczynski, T., Orantek, P., Kuś, W., Górski, R., Poteralski, A., Szczepanik, M.: The identification of uncertain parameters in mechanical structures. In: The Proceedings of the CMM 2007 Conference, CD-Edition, Lodz-Spala (2007)
Burczyński, T., Skrzypczyk, J.: Fuzzy aspects of the boundary element method. Engineering Analysis with Boundary Elements 19, 209–216 (1997)
Burczyński, T., Skrzypczyk, J.: Theoretical and Computational Aspects of the Stochastic Boundary Element Method. Computer Methods in Applied Mechanics and Engineering 168, 321–344 (1999)
Cordon, O., Gomide, F., Herrera, F., Hoffmann, F., Magdalena, L.: Ten years of genetic fuzzy systems:current framework and new trends. Fuzzy Sets and Systems 141, 5–31 (2004)
Cordon, O., Herrera, F., Hoffmann, F., Magdalena, L.: Genetic Fuzzy Systems: Evolutionary Tuning and Learning of Fuzzy Knowledge Bases. World Scientific, Singapore (2001)
Czogała, E., Pedrycz, W.: Elements and Methods of Theory of Fuzzy Sets. PWN, Warsaw (1985)
Dubois, D., Prade, H.: Fuzzy Sets and Systems. Academic Press, New York (1988)
Kleiber, M., Hien, T.D.: Stochastic Finite Element Method. John Willey & Sons, New York (1992)
Littman, M., Ackley, D.: Adaptation in constant utility nonstationary environment. In: Proc. International Conference on Genetic Algorithms (1994)
Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolutionary Programs. Springer, Berlin (1996)
Moore, R.E., Kearfott, R.B., Cloud, M.J.: Introduction to Interval Analysis. SIAM Press, Philadelphia (2009)
Orantek, P.: An intelligent computing technique in identification problems. Computer Assisted Mechanics and Engineering Sciences 13, 351–364 (2006)
Papoulis, A.: Probability, Random Variables, and Stochastic Processes. McGraw Hill, New York (1991)
Pedrycz, W.: Fuzzy evolutionary computing. Soft Computing 2 (1998)
Pedrycz, W.: Computational Intelligence: An Introduction. CRC Press, Boca Raton (1997)
Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer Academic Publishing, Dordrecht (1991)
Polkowski, L., Skowron, A. (eds.): Rough Sets in Knowledge Discovery. Methodology and Applications, vol. I. Physica-Verlag, Heidelberg (1998)
Zadeh, L.A., Kacprzyk, J.: Computing with Words in Information/IntelligentSystems, vol. 1-2. Physica-Verlag, Heidelberg (1999)
Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
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Burczyński, T., Orantek, P. (2009). Uncertain Identification Problems in the Context of Granular Computing. In: Bargiela, A., Pedrycz, W. (eds) Human-Centric Information Processing Through Granular Modelling. Studies in Computational Intelligence, vol 182. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92916-1_14
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DOI: https://doi.org/10.1007/978-3-540-92916-1_14
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