Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian Methods

ABSTRACT In fuzzy regression, estimation of centers and spreads of triangular fuzzy numbers are both performed using the same methods, such as linear programming (LP), quadratic programming (QP), fuzzy weighted linear programming (FWLP), and adaptive neuro‐fuzzy inference system (ANFIS). In this art...

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Main Authors: M. Pakdel, T. Razzaghnia, K. Fathi, A. Mostafaee
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Engineering Reports
Subjects:
Online Access:https://doi.org/10.1002/eng2.13086
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author M. Pakdel
T. Razzaghnia
K. Fathi
A. Mostafaee
author_facet M. Pakdel
T. Razzaghnia
K. Fathi
A. Mostafaee
author_sort M. Pakdel
collection DOAJ
description ABSTRACT In fuzzy regression, estimation of centers and spreads of triangular fuzzy numbers are both performed using the same methods, such as linear programming (LP), quadratic programming (QP), fuzzy weighted linear programming (FWLP), and adaptive neuro‐fuzzy inference system (ANFIS). In this article, ANFIS and Bayesian methods have been adopted to estimate centers and spreads of a triangular fuzzy numbers are applied, respectively, for estimation of centers and spreads of the triangular fuzzy data. To illustrate the efficiency of the proposed approach, three numerical examples have been used to verify the superiority of proposed method to other existing ones.
format Article
id doaj-art-13d0ee3a24ca41708bd7243338ba0f15
institution Kabale University
issn 2577-8196
language English
publishDate 2025-01-01
publisher Wiley
record_format Article
series Engineering Reports
spelling doaj-art-13d0ee3a24ca41708bd7243338ba0f152025-01-31T00:22:49ZengWileyEngineering Reports2577-81962025-01-0171n/an/a10.1002/eng2.13086Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian MethodsM. Pakdel0T. Razzaghnia1K. Fathi2A. Mostafaee3Department of Statistics North Tehran Branch, Islamic Azad University Tehran IranDepartment of Statistics North Tehran Branch, Islamic Azad University Tehran IranDepartment of Statistics North Tehran Branch, Islamic Azad University Tehran IranDepartment of Mathematics North Tehran Branch, Islamic Azad University Tehran IranABSTRACT In fuzzy regression, estimation of centers and spreads of triangular fuzzy numbers are both performed using the same methods, such as linear programming (LP), quadratic programming (QP), fuzzy weighted linear programming (FWLP), and adaptive neuro‐fuzzy inference system (ANFIS). In this article, ANFIS and Bayesian methods have been adopted to estimate centers and spreads of a triangular fuzzy numbers are applied, respectively, for estimation of centers and spreads of the triangular fuzzy data. To illustrate the efficiency of the proposed approach, three numerical examples have been used to verify the superiority of proposed method to other existing ones.https://doi.org/10.1002/eng2.13086ANFISBayesian methodfuzzy regressiontriangular fuzzy numbers
spellingShingle M. Pakdel
T. Razzaghnia
K. Fathi
A. Mostafaee
Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian Methods
Engineering Reports
ANFIS
Bayesian method
fuzzy regression
triangular fuzzy numbers
title Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian Methods
title_full Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian Methods
title_fullStr Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian Methods
title_full_unstemmed Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian Methods
title_short Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian Methods
title_sort estimation of fuzzy regression parameters with anfis and bayesian methods
topic ANFIS
Bayesian method
fuzzy regression
triangular fuzzy numbers
url https://doi.org/10.1002/eng2.13086
work_keys_str_mv AT mpakdel estimationoffuzzyregressionparameterswithanfisandbayesianmethods
AT trazzaghnia estimationoffuzzyregressionparameterswithanfisandbayesianmethods
AT kfathi estimationoffuzzyregressionparameterswithanfisandbayesianmethods
AT amostafaee estimationoffuzzyregressionparameterswithanfisandbayesianmethods