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Optimal control of multistage deterministic, stochastic and fuzzy processes in the fuzzy environment via an evolutionary algorithm

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EN
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This paper deals with the problem of control of deterministic, stochastic and fuzzy systems with a fixed termination time and fuzzy constraints imposed on controls and states. Constrains imposed on the system are given as membership functions of particular fuzzy sets. Transition functions for controlled systems are given as a matrix of transitions between states for a deterministic object, a matrix of probabilities of transitions for a stochastic object and a matrix of membership functions of transitions for a fuzzy system. An optimal (or sub-optimal) control is obtained using a specialized evolutionary algorithm (EA), which is a development over the previously used methods based on simple genetic algorithm. The specialized EA seems to be a very effective tool for solving such a class of optimization problems, comparing advantageously with the traditional simple genetic algorithm approach and with the previously used solutions like dynamic programming or branch and bound. The specialization of the applied EA is obtained using dedicated problem encoding, the method of ranking of genetic operators and the controlled selection of population members.
Rocznik
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525--552
Opis fizyczny
Bibliogr. 23 poz., wykr.
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Bibliografia
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  • Kacprzyk, J. (1997) Multistage Fuzzy Control. John Wiley & Sons.
  • Kacprzyk, J. (1998) Multistage control of a stochastic system in a fuzzy environment using a genetic algorithm. International Journal of Intelligent Systems 13, 1011-1023.
  • Kacprzyk, J.R.A., Romero, R.A. and Gomide, F.A.C. (1999) Involving objective and subjective aspects in multistage decision making and control under fuzziness: dynamic programming and neural networks. International Journal of Intelligent Systems 14, 79-104.
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  • Stańczak, J. (1999) Rozwój koncepcji i algorytmów dla samodoskonalących się systemów ewolucyjnych. (The development of the concept and algorithms for the self-improving evolutionary systems; in Polish). Ph.D. Dissertation, Warsaw University of Technology.
  • Stańczak, J. (2000) Algorytm ewolucyjny z populacją “inteligentnych” osobników (An evolutionary algorithm with a population of “intelligent” individuals; in Polish). Materia ly IV Krajowej Konferencji Algorytmy Ewolucyjne i Optymalizacja Globalna, Lądek Zdrój.
  • Stańczak, J. (2001) Evolutionary algorithm with heuristic operators in the problem of optimal fuzzy control. Materia ly V Krajowej Konferencji Algorytmy Ewolucyjne i Optymalizacja Globalna, Jastrzębia Góra, 216-222.
  • Stańczak, J. (2003) Biologically inspired methods for control of evolutionary algorithms. Control and Cybernetics 32, 411-433.
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Bibliografia
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bwmeta1.element.baztech-article-BAT5-0007-0102
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