Semi-Analytical Scheme for Solving Intuitionistic Fuzzy System of Differential Equations

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Shams M., Kausar N., Alayyash K., Al-Shamiri M. M., Arif N., Ismail R.

IEEE Access, cilt.11, ss.33205-33223, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1109/access.2023.3241482
  • Dergi Adı: IEEE Access
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.33205-33223
  • Anahtar Kelimeler: analytical technique, engineering applications, fuzzy number, Fuzzy set, generalized trapezoidal intuitionistic fuzzy number, system of fuzzy differential equation
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The aim of this article is to implement the Generalized Modified Adomian Decomposition Method to compute the semi-numerical solution of the linear system of intuitionistic fuzzy initial value problems. Here, we consider the initial values as generalized trapezoidal intuitionistic fuzzy numbers. The technique is applied to brine tanks problem and coupled mass spring systems.Theoretically, different approaches to solving a system of generalized trapezoidal intuitionistic fuzzy differential equations are discussed in this study under the presumption that the coefficients of the system of the differential equations are associated to generalized trapezoidal intuitionistic fuzzy numbers. The approximate results are compared with exact solutions which shows good efficiency. The corresponding graphs at different levels of uncertainty show the example’s numerical outcomes. The graphical representations further demonstrate the effectiveness and accuracy of the proposed method in comparison to existing semi-numerical methods in the literature.