计算数学:用Broyden方法数值求解对偶全模糊非线性矩阵方程

IF 1.3 Q3 ENGINEERING, MULTIDISCIPLINARY
L. Zakaria, Wahyu Megarani, Ahmad Faisol, A. Nuryaman, U. Muharramah
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引用次数: 1

摘要

模糊数在线性和非线性形式的各种数学模型中有许多应用。在非线性系统的形式中,模糊非线性方程可以用矩阵方程的形式构造。遗憾的是,用于求解对偶完全模糊非线性系统问题的矩阵方程在研究成果的发表中仍然相对较少。本文试图用Broyden方法求解一个包含三角模糊数的对偶完全模糊非线性方程组。本文提供了伪码算法,并将该算法实现到MATLAB程序中,使迭代过程能够快速方便地进行。给定算法的性能在寻找系统解决方案方面是最快的,并且提供了最小的误差值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method
Fuzzy numbers have many applications in various mathematical models in both linear and nonlinear forms. In the form of a nonlinear system, fuzzy nonlinear equations can be constructed in the form of matrix equations. Unfortunately, the matrix equations used to solve the problem of dual fully fuzzy nonlinear systems are still relatively few found in the publication of research results. This article attempts to solve a dual fully fuzzy nonlinear equation system involving triangular fuzzy numbers using Broyden’s method. This article provides the pseudocode algorithm and the implementation of the algorithm into the MATLAB program for the iteration process to be carried out quickly and easily. The performance of the given algorithm is the fastest in finding system solutions and provides a minimum error value.
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来源期刊
CiteScore
3.80
自引率
6.20%
发文量
57
审稿时长
20 weeks
期刊介绍: IJMEMS is a peer reviewed international journal aiming on both the theoretical and practical aspects of mathematical, engineering and management sciences. The original, not-previously published, research manuscripts on topics such as the following (but not limited to) will be considered for publication: *Mathematical Sciences- applied mathematics and allied fields, operations research, mathematical statistics. *Engineering Sciences- computer science engineering, mechanical engineering, information technology engineering, civil engineering, aeronautical engineering, industrial engineering, systems engineering, reliability engineering, production engineering. *Management Sciences- engineering management, risk management, business models, supply chain management.
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