Numerical Solution of Fuzzy Differential Equations with Z-numbers Using Bernstein Neural Networks

被引：0
作者：
Raheleh Jafari
Wen Yu
Xiaoou Li
Sina Razvarz
机构：
[1] CINVESTAV-IPN (National Polytechnic Institute),Departamento de Control Automático
[2] CINVESTAV-IPN (National Polytechnic Institute),Departamento de Computación
来源：
International Journal of Computational Intelligence Systems | 2017年 / 10卷
关键词：
Fuzzy differential equations; Bernstein neural networks; Z- numbers; Uncertain nonlinear systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The uncertain nonlinear systems can be modeled with fuzzy equations or fuzzy differential equations (FDEs) by incorporating the fuzzy set theory. The solutions of them are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs.
引用
收藏
页码：1226 / 1237
页数：11
相关论文
共 58 条
  • [11] Khastan A(2012)Comparison results of two-point fuzzy boundary value problems, Iran. J. Fuzzy Syst. 9 49-60
  • [12] Nieto JJ(2011)Numerical solutions for linear system of first-order fuzzy differential equations with fuzzy constant coefficients Int. J. Comput. Math. Sci 5 1-7
  • [13] Hawrra F(2011)N. Mikaeilvand Inform. Sci. 181 4765-4779
  • [14] Stefanini L(2014)An approach to modeling and simulation of uncertain dynamical systems Laplace transform formula on fuzzy nth order derivative and its application in fuzzy ordinary differential equations Soft. Comput 2461-2469
  • [15] Fard OS(1997)Numerical solution of fuzzy differential equations by predictor-corrector method Internat. J. Uncertainty Fuzzyness Knowledge-Based Syst 5 117-137
  • [16] Esfahani A(2007)S. Chakraverty Inform. Sci. 177 1633-1647
  • [17] Kamyad AV(2014)T. Allahvinloo Euler-based new solution method for fuzzy initial value problems Int. J. Artificial. Intell. Soft. Comput 58-79
  • [18] Liu HK(2002)Runge-Kutta methods for fuzzy differential equations, Numerical solutions of fuzzy differential equations by Taylor method J. Comput. Meth. Appl. Math 113-124
  • [19] Fard OS(2008)Fuzzy differential equations, Appl. Mathe. Comput 209 97-105
  • [20] Ghal-Eh N(2000)Basic concepts of artificial neural network (ANN) modeling and its application in pharmaceutical research, Fuzzy. Sets. Syst 110 69-77
123456