一种求解二阶线性模糊系统的算法及其力学应用

IF 0.7 Q2 MATHEMATICS International Journal of Analysis and Applications Pub Date : 2023-07-27 DOI:10.28924/2291-8639-21-2023-76

S. Nagalakshmi, G. S. Kumar, R. Agarwal, Chao Wang

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引用次数: 0

摘要

本文研究了具有颗粒可微性的齐次和非齐次二阶线性模糊系统。在n维模糊数空间上引入了连续n维模糊函数的概念。提出了一种非齐次二阶线性模糊系统在颗粒可微性条件下的求解算法。该算法已应用于一些具有模糊不确定性的著名机械问题的求解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An Algorithm for the Solution of Second Order Linear Fuzzy System With Mechanical Applications

In this paper, we consider homogeneous and non-homogeneous second order linear fuzzy systems under granular differentiability. The concept of continuous n-dimensional fuzzy functions on the space of n-dimensional fuzzy numbers are introduced. Developed an algorithm for the solution of a non-homogeneous second order linear fuzzy system under granular differentiability. The proposed algorithm is applied to solve some well-known mechanical problems with fuzzy uncertainty.

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