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

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Elmoasry A., Shams M., Yaqoob N., Kausar N., Gaba Y. U., Rafiq N.

JOURNAL OF FUNCTION SPACES, cilt.2021, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1155/2021/6369129
  • Dergi Adı: JOURNAL OF FUNCTION SPACES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

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.