Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization
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...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6369129 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546090414505984 |
|---|---|
| author | Ahmed Elmoasry Mudassir Shams Naveed Yaqoob Nasreen Kausar Yaé Ulrich Gaba Naila Rafiq |
| author_facet | Ahmed Elmoasry Mudassir Shams Naveed Yaqoob Nasreen Kausar Yaé Ulrich Gaba Naila Rafiq |
| author_sort | Ahmed Elmoasry |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d754cf9b9f6f4098ba1d6df3298e3459 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d754cf9b9f6f4098ba1d6df3298e34592025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/63691296369129Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in OptimizationAhmed Elmoasry0Mudassir Shams1Naveed Yaqoob2Nasreen Kausar3Yaé Ulrich Gaba4Naila Rafiq5Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi ArabiaDepartment of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, PakistanDepartment of Mathematics, Yildiz Technical University, Faculty of Arts and Science, Esenler, 34210 İstanbul, TurkeyQuantum Leap Africa (QLA), AIMS Rwanda Centre, Remera Sector KN 3, Kigali, RwandaDepartment of Mathematics, NUML, Islamabad, PakistanIn 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.http://dx.doi.org/10.1155/2021/6369129 |
| spellingShingle | Ahmed Elmoasry Mudassir Shams Naveed Yaqoob Nasreen Kausar Yaé Ulrich Gaba Naila Rafiq Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization Journal of Function Spaces |
| title | Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization |
| title_full | Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization |
| title_fullStr | Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization |
| title_full_unstemmed | Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization |
| title_short | Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization |
| title_sort | numerical scheme for finding roots of interval valued fuzzy nonlinear equation with application in optimization |
| url | http://dx.doi.org/10.1155/2021/6369129 |
| work_keys_str_mv | AT ahmedelmoasry numericalschemeforfindingrootsofintervalvaluedfuzzynonlinearequationwithapplicationinoptimization AT mudassirshams numericalschemeforfindingrootsofintervalvaluedfuzzynonlinearequationwithapplicationinoptimization AT naveedyaqoob numericalschemeforfindingrootsofintervalvaluedfuzzynonlinearequationwithapplicationinoptimization AT nasreenkausar numericalschemeforfindingrootsofintervalvaluedfuzzynonlinearequationwithapplicationinoptimization AT yaeulrichgaba numericalschemeforfindingrootsofintervalvaluedfuzzynonlinearequationwithapplicationinoptimization AT nailarafiq numericalschemeforfindingrootsofintervalvaluedfuzzynonlinearequationwithapplicationinoptimization |