Solution of generalised type - 2 Fuzzy boundary value problem

被引：4
作者：
Tudu, S. [1 ]
Mondal, S. P. [2 ]
Ahmadian, A. [3 ]
Mahmood, A. K. [4 ]
Salahshour, S. [5 ]
Ferrara, M. [6 ]
机构：
[1] Indian Inst Engn Sci & Technol, Dept Math, Shibpur PO Bot Garden, Howrah 711103, W Bengal, India
[2] Maulana Abul Kalam Azad Univ Technol, Dept Appl Sci, Nadia 721249, W Bengal, India
[3] Natl Univ Malaysia, Inst IR 4 0, Bangi 43600, Selangor, Malaysia
[4] Univ Teknol Petronas, Dept Comp & Informat Sci, High Performance Cloud Comp Ctr, Bandar Seri Iskandar 32610, Perak, Malaysia
[5] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey
[6] Univ Mediterranea Reggio Calabria, Dept Law, Econ & Human Sci Decis Lab, Reggio Di Calabria, Italy
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2021年 / 60卷 / 02期
关键词：
Generalized Type-2 fuzzy number; Hukuhara differentiation; (alpha; (alpha)over-bar)-cut; Geometric method for fuzzy differential equation;
D O I：
10.1016/j.aej.2020.12.046
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, we proposed a new representation of type-2 fuzzy numbers called generalized type-2 fuzzy numbers. Dirichlet, Neumann and Mixed kind of boundary value problem have been considered with the boundary condition as generalized type-2 fuzzy numbers. The theorems have been developed for solving generalized type-2 fuzzy boundary value problems. In every case, suitable examples have also been provided. The solutions graph for fuzzy cases has been plotted and discuss for understanding of the nature of fuzzy solutions. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
引用
收藏
页码：2725 / 2739
页数：15
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