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

Ahmed Elmoasry | Zendy; Mudassir Shams | Zendy; Naveed Yaqoob | Zendy; Nasreen Kausar | Zendy; Yaé Ulrich Gaba | Zendy; Naila Rafiq | Zendy

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

Author(s) -

Ahmed Elmoasry,

Mudassir Shams,

Naveed Yaqoob,

Nasreen Kausar,

Yaé Ulrich Gaba,

Naila Rafiq

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6369129

Subject(s) - mathematics , numerical analysis , parametric statistics , fuzzy logic , nonlinear system , convergence (economics) , interval (graph theory) , iterative method , mathematical optimization , interval arithmetic , mathematical analysis , computer science , statistics , physics , quantum mechanics , combinatorics , artificial intelligence , economics , bounded function , economic growth

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.

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