Fuzzy clustering to classify several regression models with fractional Brownian motion errors

Clustering regression models fitted on the dataset is one of the most ubiquitous issues in different fields of sciences. In this research, fuzzy clustering method is used to cluster regression models with fractional Brownian motion errors that can be fitted on a dataset. Thereafter the performance o...

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Main Authors: Mohammad Reza Mahmoudi, Mohammad Hossein Heydari, Kim-Hung Pho
Format: Article
Language:English
Published: Elsevier 2020-08-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820302817
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spelling doaj-6f6b845e74a24e0ab3422684a702b0a02021-06-02T17:39:13ZengElsevierAlexandria Engineering Journal1110-01682020-08-0159428112818Fuzzy clustering to classify several regression models with fractional Brownian motion errorsMohammad Reza Mahmoudi0Mohammad Hossein Heydari1Kim-Hung Pho2Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam; Department of Statistics, Faculty of Science, Fasa University, Fasa, Fars, IranDepartment of Mathematics, Faculty of Science, Shiraz University of Technology, Shiraz, IranFractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Corresponding author.Clustering regression models fitted on the dataset is one of the most ubiquitous issues in different fields of sciences. In this research, fuzzy clustering method is used to cluster regression models with fractional Brownian motion errors that can be fitted on a dataset. Thereafter the performance of proposed approach is studied in simulated and real situations. The results verify that the introduced technique has excellent power to cluster the models. It indicates that our proposed method obtain many advantages. The performance of proposed technique is allowable. In addition, the algorithm is not so complicated. Furthermore, this method can be employed to compare both linear and nonlinear models.http://www.sciencedirect.com/science/article/pii/S1110016820302817Fuzzy clusteringFractional Brownian motionData modelingRegression
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Reza Mahmoudi
Mohammad Hossein Heydari
Kim-Hung Pho
spellingShingle Mohammad Reza Mahmoudi
Mohammad Hossein Heydari
Kim-Hung Pho
Fuzzy clustering to classify several regression models with fractional Brownian motion errors
Alexandria Engineering Journal
Fuzzy clustering
Fractional Brownian motion
Data modeling
Regression
author_facet Mohammad Reza Mahmoudi
Mohammad Hossein Heydari
Kim-Hung Pho
author_sort Mohammad Reza Mahmoudi
title Fuzzy clustering to classify several regression models with fractional Brownian motion errors
title_short Fuzzy clustering to classify several regression models with fractional Brownian motion errors
title_full Fuzzy clustering to classify several regression models with fractional Brownian motion errors
title_fullStr Fuzzy clustering to classify several regression models with fractional Brownian motion errors
title_full_unstemmed Fuzzy clustering to classify several regression models with fractional Brownian motion errors
title_sort fuzzy clustering to classify several regression models with fractional brownian motion errors
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2020-08-01
description Clustering regression models fitted on the dataset is one of the most ubiquitous issues in different fields of sciences. In this research, fuzzy clustering method is used to cluster regression models with fractional Brownian motion errors that can be fitted on a dataset. Thereafter the performance of proposed approach is studied in simulated and real situations. The results verify that the introduced technique has excellent power to cluster the models. It indicates that our proposed method obtain many advantages. The performance of proposed technique is allowable. In addition, the algorithm is not so complicated. Furthermore, this method can be employed to compare both linear and nonlinear models.
topic Fuzzy clustering
Fractional Brownian motion
Data modeling
Regression
url http://www.sciencedirect.com/science/article/pii/S1110016820302817
work_keys_str_mv AT mohammadrezamahmoudi fuzzyclusteringtoclassifyseveralregressionmodelswithfractionalbrownianmotionerrors
AT mohammadhosseinheydari fuzzyclusteringtoclassifyseveralregressionmodelswithfractionalbrownianmotionerrors
AT kimhungpho fuzzyclusteringtoclassifyseveralregressionmodelswithfractionalbrownianmotionerrors
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