Approximate solutions by artificial neural network of hybrid fuzzy differential equations

被引:2
作者
Paripour, Mahmoud [1 ]
Ferrara, Massimiliano [2 ]
Salimi, Mehdi [3 ]
机构
[1] Hamedan Univ Technol, Dept Comp Engn & Informat Technol, Hamadan, Iran
[2] Mediterranea Univ Reggio Calabria, Dept Law & Econ, Reggio Di Calabria, Italy
[3] Islamic Azad Univ, Tuyserkan Branch, Dept Math, Tuyserkan, Iran
关键词
Hybrid systems; fuzzy differential equations; neural network; feed-forward artificial neural networks; approximate solution; NUMERICAL-SOLUTION;
D O I
10.1177/1687814017717429
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this article, we propose a new approach to solve the hybrid fuzzy differential equations based on the feed-forward neural networks. We first replace it by a system of ordinary differential equations. A trial solution of this system involves two parts. The first part satisfies the initial condition and contains no adjustable parameters; however, the second part involves a feed-forward neural network containing adjustable parameters (the weights). This method shows that using neural networks provides solutions with good generalization and the high accuracy.
引用
收藏
页码:1 / 9
页数:9
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