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基于神经网络的模糊关系方程极小解求解算法

冯霜 李金权 温永川

北京师范大学学报:自然科学版2012,Vol.48Issue(2):111-114,4.
北京师范大学学报:自然科学版2012,Vol.48Issue(2):111-114,4.

基于神经网络的模糊关系方程极小解求解算法

A NOVEL ALGORITHM FOR OBTAINING MINIMAL SOLUTIONS OF FUZZY RELATION EQUATIONS BASED ON NEURAL NETWORKS

冯霜 1李金权 1温永川1

作者信息

  • 1. 北京师范大学珠海分校应用数学学院,广东珠海519085
  • 折叠

摘要

Abstract

A novel algorithm (training algorithm I) using neural networks was proposed to solve fuzzy relation equations on finite universe. Unknown fuzzy relation was treated as weight parameters in neural networks. It was found that the proposed training algorithm was convergent on a minimal solution of given fuzzy relation equation. Two numerical examples were given to demonstrate the efficiency of this algorithm.

关键词

模糊关系方程/极小解/神经网络/极大解

Key words

fuzzy relation equations/minimal solutions/neural networks/maximal solutions

分类

计算机与自动化

引用本文复制引用

冯霜,李金权,温永川..基于神经网络的模糊关系方程极小解求解算法[J].北京师范大学学报:自然科学版,2012,48(2):111-114,4.

北京师范大学学报:自然科学版

OA北大核心CSCDCSTPCD

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