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arXiv 1304.7239cs.AI
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线性方程组的求解--神经模糊方法

Solution of System of Linear Equations - A Neuro-Fuzzy Approach

Meghnad Saha Institute of Technology(梅格纳德·萨哈技术学院);Netaji Subhas Open University(苏巴斯·钱德拉·鲍斯开放大学);St. Xavier’s College(圣沙勿略学院)

Arindam Chaudhuri, Kajal De, Dipak Chatterjee

摘要:

神经模糊建模在决策、工程和管理科学等领域有着广泛的应用,特别是在涉及复杂线性代数方程组的决策中,神经模糊建模技术的应用具有重要意义。本文提出了一种基于Polak-Ribiere共轭梯度的带有模糊规则的神经网络来求解线性代数方程组。这是使用模糊反向传播学习规则来实现的。实现结果表明,所提出的神经模糊网络产生的精确确定,欠定和超定线性方程组的有效解决方案。这一事实证明了计算复杂性分析的神经模糊算法。利用MATLAB软件对该算法进行了有效的仿真。据我们所知,这是第一次工作的线性代数方程组使用神经模糊建模。

英文摘要:

Neuro-Fuzzy Modeling has been applied in a wide variety of fields such as Decision Making, Engineering and Management Sciences etc. In particular, applications of this Modeling technique in Decision Making by involving complex Systems of Linear Algebraic Equations have remarkable significance. In this Paper, we present Polak-Ribiere Conjugate Gradient based Neural Network with Fuzzy rules to solve System of Simultaneous Linear Algebraic Equations. This is achieved using Fuzzy Backpropagation Learning Rule. The implementation results show that the proposed Neuro-Fuzzy Network yields effective solutions for exactly determined, underdetermined and over-determined Systems of Linear Equations. This fact is demonstrated by the Computational Complexity analysis of the Neuro-Fuzzy Algorithm. The proposed Algorithm is simulated effectively using MATLAB software. To the best of our knowledge this is the first work of the Systems of Linear Algebraic Equations using Neuro-Fuzzy Modeling.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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