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
  • [1] Zadeh LA(2005)Fuzzy identification of systems and its applications to modeling and control Inform. Sci. 172 1-40
  • [2] Takagi T(1985)Y. Hayashi IEEE Trans. Syst. Man. Cybern 15 116-132
  • [3] Sugeno M(1994)W. Yu Can fuzzy neural nets approximate continuous fuzzy functions Fuzzy. Sets. Syst 43-51
  • [4] Buckley JJ(2015)L.A. Zadeh Fuzzy Control for Uncertainty Nonlinear Systems with Dual Fuzzy Equations J. Intell. Fuzzy. Syst 1229-1240
  • [5] Jafari R(1972)Towards fuzzy differential calculus: part 3 differentiation, On fuzzy mapping and control IEEE Trans. Syst. Man Cybern 30-34
  • [6] Chang SL(1982)A.L. Bencsik Fuzzy Sets Syst 8 225-233
  • [7] Dubois D(2007)Rodríguez-López, Periodic boundary value problems for first order linear differential equations with uncertainty under generalized differentiability First order linear fuzzy differential equations under generalized differentiability Inform. Sci 1648-1662
  • [8] Prade H(2013)K.H. Amal Inform. Sci. 222 544-558
  • [9] Bede B(2013)B. Bede On fuzzy Laplace transform for fuzzy differential equations of the third order, Journal of Kerbala University, 11 251-256
  • [10] Rudas IJ(2009)On solution of a class of fuzzy BVPs Generalized Hukuhara differentiability of interval-valued functions and interval differential equations J. Nonlinear Anal. (TMA) 1311-1328
123456