An identification model for a fuzzy time based stationary discrete process

[1] S. Abbaszadeh, M. Eshaghi, M. de la Sen, The Sugeno fuzzy integral of log-convex functions, Journal of Inequalities and Applications, (2015), 12 pages, Doi: 10.1186/s13660-015-0862-6.

[2] R. P. Agarwal, D. Baleanu, J. J. Nieto, D. F. Torres, Y. Zhou, A survey on fuzzy fractional differential and optimal control nonlocal evolution equations, Journal of Computational and Applied Mathematics, 339 (2018), 3-29.

[3] Z. Alijani, D Baleanu, B. Shiri, G. C. Wu, Spline collocation methods for systems of fuzzy fractional differential equations, Chaos Solitons Fractals, 131 (2020), 12 pages.

[4] Z. Alijani, U. Kangro, Collocation method for fuzzy Volterra integral equations of the second kind, Mathematical Modelling and Analysis, 25(1) (2020), 146-166.

[5] A. A. Ashtiani, M. B. Menhaj, Fuzzy relational dynamic system with smooth fuzzy composition, Journal of Mathematics and Computer Science, 2(1) (2011), 1-8.

[6] A. B. Badiru, Dynamic fuzzy systems modeling, in: Systems Engineering Models, 1st ed. (2019), 19-53.

[7] R. E. Bellman, L. A. Zadeh, Decision-making in a fuzzy environment, Manage Sciences, Ser. B., 17 (1970), 141-164.

[8] J. J. Buckley, J. Feuring, Fuzzy differential equations, Fuzzy Sets and Systems, 110(1) (2000), 43-54.

[9] O. Castillo, P. Melin, Soft computing for control of non-linear dynamic systems, Studies in Fuzziness and Soft Computing, 73, Physica-Verlag, Wulzburg, 2001.

[10] S. Chakraverty, S. Tapaswini, D. Behera, Fuzzy differential equations and applications for engineers and scientists, Taylor and Francis Group, 2016.

[11] Z. Ding, M. Ma, A. Kandel, On the observativity of fuzzy dynamical control systems (I), Fuzzy Sets and Systems, 95 (1998), 53-65.

[12] D. Dubois, H. Prade, Possibility theory, Plenum Press, New York, 1988.

[13] Y. Feng, Mean-square integral and differential of fuzzy stochastic processes, Fuzzy Sets and Systems, 102(2) (1999), 271-280.

[14] R. Ghanbari, K. Ghorbani-Moghadam, N. Mahdavi-Amiri, B. D. Baets, Fuzzy linear programming problems: Models and solutions, Soft Computing, 24 (2020), 10043-10073.

[15] L. T. Gomes, L. Barros, B. Bede, Fuzzy differential equations in various approaches, Springer Briefs in Mathematics, Springer, Cham, 2015.

[16] M. Grabisch, Fuzzy integral in multicriteria decision making, Fuzzy Sets and Systems, 69 (1995), 279-298.

[17] M. Grabisch, Fuzzy measures and integrals: Recent developments, Fifty years of fuzzy logic and its applications, 125–151, Stud. Fuzziness Soft Computing., 326, Springer, Cham, 2015.

[18] M. Grabisch, T. Murofushi, M. Sugeno (eds.), Fuzzy measures and integrals. Theory and applications, Studies in Fuzziness and Soft Computing, 40. Physica-Verlag, Heidelberg, 2000.

[19] M. Higashi, G. J. Klir, Identification of fuzzy relation systems, IEEE Transactions on Systems Man Cybernet., 14(2) (1984), 349-355.

[20] H. Jafari, M. T. Malinowski, M. J. Ebadi, Fuzzy stochastic differential equations driven by fractional Brownian motion, Advances in Difference Equations, 16 (2021), 2-17.

[21] J. Kacprzyk, A. Wilbik, S. Zadrozny, Linguistic summarization of time series using a fuzzy quantifier driven aggregation, Fuzzy Sets and Systems, 159(12) (2011), 1485-1499.

[22] O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems, 24(3) (1987), 301-317.

[23] J. M. Keller, D. Liu, D. B. Fogel, Fuzzy measures and fuzzy integrals, in: Fundamentals of Computational Intelligence: Neural Networks, Fuzzy Systems, and Evolutionary Computation, Wiley-IEEE Press, 2016, 183-205.

[24] G. J. Klir, Fuzzy measure theory, Plenum Press, New York, 1992.

[25] P. E. Kloeden, Fuzzy dynamical systems, Fuzzy Sets and Systems, 7(3) (1982), 275-296.

[26] M. Kurano, M. Yasuda, J. Nakagami, Y. Yoshida, A fuzzy relational equation in dynamic fuzzy systems, Fuzzy Sets and Systems, 101 (1999), 439-443.

[27] X. Li, X. Zhang, Sugeno integral of set-valued functions with respect to multi-submeasures and its application in MADM, International Journal of Fuzzy Systems, 20(8) (2018), 2534-2544.

[28] B. Liu, Toward fuzzy optimization without mathematical ambiguity, Fuzzy Optimization and Decision Making, 1(1) (2002), 43-63.

[29] T. Loganathan, K. Ganesan, A solution approach to fully fuzzy linear fractional programming problems, Journal of Physics, 1377 (2019), 012040.

[30] P. Melin, O. Castillo Modelling, simulation and control of non-linear dynamical systems, an intelligent approach using soft computing and fractal theory, With 1 IBM-PC floppy disk (3.5 inch; HD). Numerical Insights, 2. Taylor and Francis, Ltd., London, 2002.

[31] M. Michta, Fuzzy stochastic differential equations driven by semimartingales-different approaches, Mathematical Problems of Engineering, 3 (2015), 23-65.

[32] E. Pap, Null-additive set functions, Mathematics and its Applications, 337. Kluwer Academic Publishers Group, Dordrecht; Ister Science, Bratislava, 1995.

[33] B. Shiri, I. Perfilieva, Z. Alijani, Classical approximation for fuzzy Fredholm integral equation, Fuzzy Sets and Systems, 404 (2021), 159-177.

[34] G. Sirbiladze, Modeling of extremal fuzzy dynamic systems, I. Extended extremal fuzzy measures, International Journal of General Systems, 34(2) (2005), 107-138.

[35] G. Sirbiladze, Modeling of extremal fuzzy dynamic systems. II. Extended extremal fuzzy measures on composition products of measurable spaces, International Journal of General Systems, 34(2) (2005), 139-167.

[36] G. Sirbiladze, Modeling of extremal fuzzy dynamic systems. III. Modeling of extremal and controllable extremal fuzzy processes, International Journal of General Systems, 34(2) (2005), 169-198.

[37] G. Sirbiladze, Fuzzy dynamic programming problem for extremal fuzzy dynamic system, in: Fuzzy Optimization: Recent Developments and Applications, W. A. Lodwick and J. Kacprzyk (Eds.), Studies in Fuzziness and Soft Computing, 254 (2010), 231-270.

[38] G. Sirbiladze, New fuzzy aggregation operators based on the finite Choquet integral - Application in the MADM problem, International Journal of Information Technology and Decision Making, 15(3) (2016), 517-55.

[39] G. Sirbiladze, Associated probabilities’ aggregations in interactive multi-attribute decision making for q-rung orthopair fuzzy discrimination environment, International Journal of Intelligent Systems, 35(3) (2020), 335-372.

[40] G. Sirbiladze, T. Gachechiladze, Restored fuzzy measures in expert decision-making, Information Sciences, 169(1/2) (2005), 71-95.

[41] G. Sirbiladze, A. Sikharulidze, B. Ghvaberidze, B. Matsaberidze, Fuzzy-probabilistic aggregations in the discrete covering problem, International Journal of General Systems, 40(2) (2011), 169-196.

[42] M. Sugeno, Theory of fuzzy integrals and its applications, Ph.D. Thesis of Tokyo Insitute of Technology, 1974.

[43] H. Tanaka, H. Ishibuchi, S. Yoshikawa, Exponential possibility regression analysis, Fuzzy Sets and Systems, 69(3) (1995), 305-318.

[44] H. N. Teodorescu, A. Kandel, M. Schneider, Fuzzy modeling and dynamics (preface), Fuzzy Sets and Systems, 106(1) (1999).

[45] T. Terano, K. Asai, M. Sugeno, Fuzzy systems theory and its applications, Translated from the Japanese, Academic Press, Inc., Boston, MA, 1992.

[46] S. Tomasiello, J. E. Macías-Díaz, A. Khastan, Z. Alijani, New sinusoidal basis functions and a neural network approach to solve nonlinear Volterra-Fredholm integral equations, Neural Computing and Applications, 31 (2019), 4865-4878.

[47] G. Vachkov, T. Fukuda, Simplified fuzzy model based identification of dynamical systems, International Journal of Fuzzy Systems (Taiwan), 2(4) (2000), 229-235.

[48] Y. Yoshida, Markov chains with a transition possibility measure and fuzzy dynamic programming, Fuzzy Sets and Systems, 66 (1994), 39-57.

[49] Y. Yoshida, Duality in dynamic fuzzy systems, Fuzzy Sets and Systems, 95(1) (1998), 53-65.

[50] Y. Yoshida (ed.), Dynamical aspects in fuzzy decision making, Studies in Fuzziness and Soft Computing, 73, Physica-Verlag, Wurzburg, 2001.

[51] S. Ziari, I. Perfilieva, S. Abbasbandy, Block-pulse functions in the method of successive approximations for nonlinear fuzzy Fredholm integral equations, Differential Equations and Dynamical Systems, 29(1) (2019), 1-5.