Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces-Reference-Cited by-同舟云学术

Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces

Published:2023 Issue:2 Volume:9 Page:2695-2721
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Jamal Noor¹,Sarwar Muhammad¹²,Mlaiki Nabil²,Aloqaily Ahmad²

Affiliation:

1. Department of Mathematics, University of Malakand, Dir Lower, Pakistan

2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia

Abstract

<abstract><p>Linear correlated fuzzy differential equations (LCFDEs) are a valuable approach to handling physical problems, optimizations problems, linear programming problems etc. with uncertainty. But, LCFDEs employed on spaces with symmetric basic fuzzy numbers often exhibit multiple solutions due to the extension process. This abundance of solutions poses challenges in the existing literature's solution methods for LCFDEs. These limitations have led to reduced applicability of LCFDEs in dealing with such types of problems. Therefore, in the current study, we focus on establishing existence and uniqueness results for LCFDEs. Moreover, we will discuss solutions in the canonical form of LCFDEs in the space of symmetric basic fuzzy number which is currently absent in the literature. To enhance the practicality of our work, we provide examples and plots to illustrate our findings.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference26 articles.

1. L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

2. A. A. Sori, A. Ebrahimnejad, H. Motameni, Elite artificial bees' colony algorithm to solve robot's fuzzy constrained routing problem, Comput. Intell., 36 (2020), 659–681. https://doi.org/10.1111/coin.12258

3. S. H. Nasseri, A. Ebrahimnejad, O. Gholami, Fuzzy stochastic data envelopment analysis with undesirable outputs and its application to banking industry, Int. J. Fuzzy Syst., 20 (2018), 534–548. https://doi.org/10.1007/s40815-017-0367-1

4. Y. Xi, Y. Ding, Y. Cheng, J. Zhao, M. Zhou, S. Qin, Evaluation of the medical resource allocation: evidence from China, Healthcare, 11 (2023), 829. https://doi.org/10.3390/healthcare11060829

5. X. Gou, X. Xu, F. Deng, W. Zhou, E. H. Viedma, Medical health resources allocation evaluation in public health emergencies by an improved ORESTE method with linguistic preference orderings, Fuzzy Optim. Decis. Making, 2023 (2023), 6. https://doi.org/10.1007/s10700-023-09414-6

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method;Partial Differential Equations in Applied Mathematics;2024-09

2. Fuzzy fixed point approach to study the existence of solution for Volterra type integral equations using fuzzy Sehgal contraction;PLOS ONE;2024-06-06

4. Semi analytical scheme for the presentation of solution to Fractional Fokker–Planck Equation;Partial Differential Equations in Applied Mathematics;2024-06

5. Existence and Uniqueness Result for Fuzzy Fractional Order Goursat Partial Differential Equations;Fractal and Fractional;2024-04-25