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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2025-01-01
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Series: | Engineering Reports |
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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 |