A New Method for Solving Nonlinear Interval and Fuzzy Equations

机译：一种求解非线性间隔和模糊方程的新方法

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In this paper, a new concept called "interval extended zero" method which recently was used for solving interval and fuzzy linear equations is adapted to the solution of nonlinear interval and fuzzy equations. The known "test" example of quadratic fuzzy equation is used to perform the advantages of a new method. In this example, only the positive solution can be obtained using known methods, whereas generally a negative fuzzy root can exits too. The sources of this problem are clarified. It is shown that opposite to the known methods, a new approach makes it possible to get both the positive and negative solutions of quadratic fuzzy equation. Generally, the developed method can be applied for solving a wide range of nonlinear interval and fuzzy equations if some initial constraints on the bounds of solution are known.

机译：在本文中，最近用于求解间隔和模糊线性方程的“间隔扩展零”方法的新概念适用于非线性间隔和模糊方程的解。二次模糊等式的已知“测试”示例用于执行新方法的优点。在该示例中，只有使用已知方法可以获得正面解决方案，而通常通常也可以退出负面模糊根。澄清了这个问题的来源。结果表明，与已知方法相反，一种新方法使得可以获得二次模糊方程的正负解。通常，如果对解决方案界限的一些初始约束是已知的，则可以应用开发方法来解决广泛的非线性间隔和模糊方程。

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《International Conference on Parallel Processing and Applied Mathematics》|2018年|488p|共10页
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作者
Ludmila Dymova; Pavel Sevastjanov;
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原文格式 PDF
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中图分类 TP316.4-53;
关键词
Interval nonlinear equation; Fuzzy nonlinear equation;

机译：间隔非线性方程;模糊非线性方程;

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2. Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method [J] . T. Allahviranloo, S. Abbasbandy, Sh. S. Behzadi Soft computing: A fusion of foundations, methodologies and applications . 2014,第11期

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3. Iterative methods for solving nonlinear equations with finitely many roots in an interval [J] . Yun B.I. Journal of Computational and Applied Mathematics . 2012,第13期

机译：求解区间内根数有限的非线性方程的迭代方法
4. A New Method for Solving Nonlinear Interval and Fuzzy Equations [C] . Ludmila Dymova, Pavel Sevastjanov International conference on parallel processing and applied mathematics . 2018

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5. Solving large sparse systems of nonlinear equations and nonlinear least squares problems using tensor methods on sequential and parallel computers*. [D] . Bouaricha, Ali. 1992

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6. Modified Taylor series method for solving nonlinear differential equations with mixed boundary conditions defined on finite intervals [O] . Hector Vazquez-Leal, Brahim Benhammouda, Uriel Antonio Filobello-Nino, -1

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7. Comparison of Classical Method, Extension Principle and α-Cuts and Interval Arithmetic Method in Solving System of Fuzzy Linear Equations [O] . Sahidul Islam, Md. Saiduzzaman, Md. Shafiqul Islam, 2019

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A New Method for Solving Nonlinear Interval and Fuzzy Equations

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