Abstract
The most investigated area in optimal control of discrete processes under uncertain conditions is optimal control of fuzzy systems, i.e. represented by different-type fuzzy equations. In this paper, the fuzzy terminal control problem described by a fuzzy relational equation (FRE) to take into account the fuzzy state and controls is discussed. Kernel of FRE-based method is Bellman-Zadeh approach. From this point of view, a fuzzy terminal control problem is transfigured to the multistage decision making scheme. The solution of the discussed problem is defined as intersection of fuzzy goal and fuzzy constraints. At the end, obtained fuzzy decisions were maximized.
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References
Aliev, R.A., Aliev, R.R.: Soft Computing and Its Application. World Scientific, New Jersey (2001)
Aliev, R.A., Abdikiev, N.M., Shachnazarov, M.M.: Intelligent control systems, Moscow (1990). (in Russian)
Gardashova, L.A., Gahramanli, Y., Babanli, M..: Fuzzy neural network based analysis of the process of oil product sorption with foam polystyrene. Int. J. Eng. Res. Appl. 7(9), 85–90 (2017)
Di Nola, A., Pedrycz, W., Sessa, W.S.: Fuzzy relation equations and algorithms of inference mechanism in expert systems. In: Approximate Reasoning in Expert Systems, pp. 355–367. Elsevier Science Publishers B.V., North Holland, Amsterdam (1985)
Sanchez, E.: Resolution of composite fuzzy relation equations. Inf. Control 30, 38–48 (1976)
Martino, F.D., Sessa, S.: Spatial analysis and fuzzy relation equations. Adv. Fuzzy Syst. 2011, 1–14 (2011)
Li, Y.M., Wang, X.P.: Necessary and sufficient conditions for existence of maximal solutions for inf-α composite fuzzy relational equations. Comput. Math Appl. 55, 1961–1973 (2008)
Belohlavek, R.: Sup-t-norm and inf-residuum are one type of relational product: unifying framework and consequences. Fuzzy Sets Syst. 197, 45–58 (2012)
Xiong, Q.Q., Wang, X.P.: Solution sets of inf-αT fuzzy relational equations on complete Brouwerian lattices. Inf. Sci. 177, 4757–4767 (2007)
Markovski, A.V.: On the relation between equations with max-product composition and the covering problem. Fuzzy Sets Syst. 153, 261–273 (2005)
Lin, J.L.: On the relation between fuzzy max-Archimedean t-norm relational equations and the covering problem. Fuzzy Sets Syst. 160, 2328–2344 (2009)
Lin, J.L., Wu, Y.K., Guu, S.M.: On fuzzy relational equations and the covering problem. Inf. Sci. 181, 2951–2963 (2011)
Xiong, Q., Shu, Q.: Fuzzy relational equations and the covering problem. In: 16th World Congress of the International Fuzzy Systems Association (IFSA) and 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), pp. 77–84 (2015)
Zadeh, L.A.: Fuzzy sets. Inform. Control 8, 338–353 (1965)
Bellman, R.E., Zadeh, L.A.: Decision making in a fuzzy environment. Manag. Sci. 17(4), 141–164 (1970)
Loia, V., Sessa, S.: Fuzzy relation equations for coding/decoding processes of images and videos. Inf. Sci. 171, 145–172 (2005)
Aliev, R.A., Pedrycz, W.: Fundamentals of a fuzzy-logic-based generalized theory of stability. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 39(4), 971–988 (2009)
Aliev, R., Tserkovny, A.: Systemic approach to fuzzy logic formalization for approximate reasoning. Inf. Sci. 181(6), 1045–1059 (2011)
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Gardashova, L.A. (2020). Synthesis of Fuzzy Terminal Controller for Chemical Reactor of Alcohol Production. In: Aliev, R., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Babanli, M., Sadikoglu, F. (eds) 10th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions - ICSCCW-2019. ICSCCW 2019. Advances in Intelligent Systems and Computing, vol 1095. Springer, Cham. https://doi.org/10.1007/978-3-030-35249-3_13
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