Convergence, Consistence, and Stability Analysis of one-Step Methods for First-order Intuitionistic Fuzzy differential equations

被引：0

作者：

Ben Amma B. ^{[1
]}

Melliani S. ^{[1
]}

Chadli L.S. ^{[1
]}

机构：

[1] Sultan Moulay Slimane University, Morocco

来源：

International Journal of Fuzzy System Applications | 2022年 / 11卷 / 01期

关键词：

Consistence; Convergence; First-Order Intuitionistic Fuzzy Differential Equations; Local Truncation Error; One-Step Methods; Stability;

D O I：

10.4018/IJFSA.302123

中图分类号：

O172 [微积分];

学科分类号：

摘要：

In this work, the authors consider the initial value problems in intuitionistic fuzzy ordinary differential equations. The one-step method for approximating the solution of these problems has been defined. The convergence, consistency, and stability of the difference method for approximating the solution of intuitionistic fuzzy differential equations are studied, and the local truncation error is defined. The accuracy and efficiency of the proposed concept are illustrated by solving some numerical examples. Copyright © 2022, IGI Global. Copying or distributing in print or electronic forms without written permission of IGI Global is prohibited.

引用

共 39 条

[1]

An J. J., Li D. F., A Linear Programming Approach to Solve Constrained Bi-matrix Games with Intuitionistic Fuzzy Payoffs, International Journal of Fuzzy Systems, 21, 3, pp. 908-915, (2019)

[2]

An J. J., Li D. F., Nan J. X., A mean-area ranking based non-linear programming approach to solve intuitionistic fuzzy bi-matrix games, Journal of Intelligent & Fuzzy Systems, 33, 1, pp. 563-573, (2017)

[3]

Anderson D., Guseinov G., Hoffacker J., Higher-order self-adjoin boundary-value problems on time scales, Journal of Computational and Applied Mathematics, 194, 2, pp. 309-342, (2006)

[4]

Atanassov K., Intuitionistic fuzzy sets. VII ITKR's session, (1983)

[5]

Atanassov K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1, pp. 87-96, (1986)

[6]

Ben Amma B., Melliani S., Chadli L. S., Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods, Notes on Intuitionistic Fuzzy Sets, 22, 2, pp. 71-86, (2016)

[7]

Ben Amma B., Melliani S., Chadli L. S., Numerical solution of intuitionistic fuzzy differential equations by Adams three order predictor-corrector method, Notes on Intuitionistic Fuzzy Sets, 22, 3, pp. 47-69, (2016)

[8]

Ben Amma B., Melliani S., Chadli L. S., Numerical solution of intuitionistic fuzzy differential equations by Runge-Kutta Method of order four, Notes on Intuitionistic Fuzzy Sets, 22, 4, pp. 42-52, (2016)

[9]

Ben Amma B., Melliani S., Chadli L. S., The Cauchy Problem Of Intuitionistic Fuzzy Differential Equations, Notes on Intuitionistic Fuzzy Sets, 24, 1, pp. 37-47, (2018)

[10]

Ben Amma B., Melliani S., Chadli L. S., Intuitionistic Fuzzy Functional Differential Equations, Fuzzy Logic in Intelligent System Design, NAFIPS 2017. Advances in Intelligent Systems and Computing, (2018)

← 1 2 3 4 →