Solution of generalised type – 2 Fuzzy boundary value problem

Tudu, Suklal; Mondal, Sankar Prasad; Ahmadian, Ali; Mahmood, Ahmad Kamil; Salahshour, Soheil; Феррара, Массимилиано

doi:10.1016/j.aej.2020.12.046

Cited by 11 publications

(2 citation statements)

References 23 publications

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“…In the modern area of science and technology, initial and boundary value problems, often known as differential equations with initial or boundary conditions, are used to represent a number of problems in engineering and applied sciences [1]. Zadeh in 1965 [2], followed by Dubois, D. andPrade in 1978,1980, [3,4], the first researchers who initially presented the idea of fuzzy numbers and fuzzy arithmetic.…”

Section: Introductionmentioning

confidence: 99%

Variational Iteration Approach for Solving Two-Points Fuzzy Boundary Value Problems

R. Hasan,

S. Fadhel

2023

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The main objective of this paper is to introduce interval two-point fuzzy boundary value problems, in which the fuzziness course when the coefficients of the governing ordinary differential equation and/or the boundary conditions include fuzzy numbers of either triangular or trapezoidal types. Such equations will be solved by introducing the concept of α – level sets, α  [0,1] to treat the fuzzy ordinary differential equation into two nonfuzzy ordinary differential equations, which correspond to the lower and upper solutions of the interval fuzzy solutions. The well-known variational iteration method has been used to solve two-point fuzzy boundary value problems and linear equations have been examined.

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Section: Introductionmentioning

confidence: 99%

Variational Iteration Approach for Solving Two-Points Fuzzy Boundary Value Problems

R. Hasan,

S. Fadhel

2023

ANJS

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“…In addition, Ghorui et al [17] evaluated the risk factors involved in the spread of COVID-19 and ranked such factors using the FAHP and hesitant fuzzy sets when applying FTOPSIS. Tudu et al [18] also proposed a new representation of type-2 fuzzy numbers, namely, generalized type-2 fuzzy numbers, and developed theorems for solving generalized type-2 fuzzy boundary value problems. Rahaman et al [19] applied a Gaussian method to solve the linear difference equation in a fuzzy environment.…”

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confidence: 99%