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.

Solution of generalised type – 2 Fuzzy boundary value problem

Ferrara M.
Supervision
2021-01-01

Abstract

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.
2021
(α,α̃)-cut
Generalized Type-2 fuzzy number
Geometric method for fuzzy differential equation
Hukuhara differentiation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/119358
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