Numerical methods for solving fuzzy equations: a survey

Raheleh  Jafari; Wen Yu; Sina  Razvarz; Alexander Gegov

doi:10.1016/j.fss.2019.11.003

Numerical methods for solving fuzzy equations: a survey

Raheleh Jafari, Wen Yu, Sina Razvarz, Alexander Gegov

School of Computing

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Abstract

In this paper, we study different numerical methods for solving fuzzy equations, dual fuzzy equations, fuzzy differential equations (FDEs) and fuzzy partial differential equations (PDEs). In this study, conditions that guarantee the existence of the roots of these equations are discussed. Also, this paper provides some discussion about the rates of convergence of each of the numerical methods. Finally, some numerical examples are given to illustrate the efficiency of
these methods.

Original language	English
Journal	Fuzzy Sets and Systems
Early online date	8 Nov 2019
DOIs	https://doi.org/10.1016/j.fss.2019.11.003
Publication status	Early online - 8 Nov 2019

Keywords

nonlinear systems
fuzzy number
fuzzy solution

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FSS_PAPERAccepted author manuscript (Post-print), 645 KBLicence: CC BY-NC-ND

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title = "Numerical methods for solving fuzzy equations: a survey",

abstract = "In this paper, we study different numerical methods for solving fuzzy equations, dual fuzzy equations, fuzzy differential equations (FDEs) and fuzzy partial differential equations (PDEs). In this study, conditions that guarantee the existence of the roots of these equations are discussed. Also, this paper provides some discussion about the rates of convergence of each of the numerical methods. Finally, some numerical examples are given to illustrate the efficiency ofthese methods.",

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AB - In this paper, we study different numerical methods for solving fuzzy equations, dual fuzzy equations, fuzzy differential equations (FDEs) and fuzzy partial differential equations (PDEs). In this study, conditions that guarantee the existence of the roots of these equations are discussed. Also, this paper provides some discussion about the rates of convergence of each of the numerical methods. Finally, some numerical examples are given to illustrate the efficiency ofthese methods.

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KW - fuzzy number

KW - fuzzy solution

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M3 - Article

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

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Numerical methods for solving fuzzy equations: a survey

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Keywords

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