Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization-Reference-Cited by-同舟云学术

Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization

Published:2021-09-04 Issue: Volume:2021 Page:1-16
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Elmoasry Ahmed¹^ORCID,Shams Mudassir²^ORCID,Yaqoob Naveed²^ORCID,Kausar Nasreen³^ORCID,Gaba Yaé Ulrich⁴⁵⁶^ORCID,Rafiq Naila⁷^ORCID

Affiliation:

1. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia

2. Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan

3. Department of Mathematics, Yildiz Technical University, Faculty of Arts and Science, Esenler, 34210 İstanbul, Turkey

4. Quantum Leap Africa (QLA), AIMS Rwanda Centre, Remera Sector KN 3, Kigali, Rwanda

5. Institut de Mathématiques et de Sciences Physiques (IMSP/UAC), Laboratoire de Topologie Fondamentale, Computationnelle et Leurs Applications (Lab-ToFoCApp), BP 613, Porto-Novo, Benin

6. African Center for Advanced Studies, P.O. Box 4477, Yaounde, Cameroon

7. Department of Mathematics, NUML, Islamabad, Pakistan

Abstract

In this research article, we propose efficient numerical iterative methods for estimating roots of interval-valued trapezoidal fuzzy nonlinear equations. Convergence analysis proves that the order of convergence of numerical schemes is 3. Some real-life applications are considered from optimization as numerical test problems which contain interval-valued trapezoidal fuzzy quantities in parametric form. Numerical illustrations are given to show the dominance efficiency of the newly constructed iterative schemes as compared to existing methods in literature.

Funder

Majmaah University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6369129.pdf

Reference32 articles.

1. On fuzzy mapping and control;S. S. L. Chang;IEEE Transactions on Systems, Man and Cybernetics,1972

2. Operations on fuzzy numbers

3. Some properties of fuzzy numbers;M. Mizumoto,1979