A fuzzy multiple regression model adopted with locally weighted and interval-valued techniques

In this study, a new method for fuzzy linear regression analysis characterized by crisp predictors and fuzzy responses is proposed. The fuzzy responses are decomposed into two separate closed intervals, and then a fuzzy linear regression model is fitted by using the mid-points and ranges of the inte...

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Hauptverfasser: Hesamian, Gholamreza (VerfasserIn) , Johannssen, Arne (VerfasserIn) , Chukhrova, Nataliya (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1 January 2026
In: Journal of computational and applied mathematics
Year: 2026, Jahrgang: 471, Pages: 1-11
ISSN:1879-1778
DOI:10.1016/j.cam.2025.116751
Online-Zugang:Verlag, kostenfrei, Volltext: https://doi.org/10.1016/j.cam.2025.116751
Verlag, kostenfrei, Volltext: https://www.sciencedirect.com/science/article/pii/S0377042725002651
Volltext
Verfasserangaben:Gholamreza Hesamian, Arne Johannssen, Nataliya Chukhrova

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520 |a In this study, a new method for fuzzy linear regression analysis characterized by crisp predictors and fuzzy responses is proposed. The fuzzy responses are decomposed into two separate closed intervals, and then a fuzzy linear regression model is fitted by using the mid-points and ranges of the interval values that result from the center and bounds of the fuzzy responses. The coefficients of the model are estimated within a three-steps procedure by means of the locally weighted estimation procedure. In each step, the unknown bandwidth for identifying the neighboring data points is specified by means of cross-validation. The fuzzy predicted values are then determined via the mid-points and ranges of the predicted interval values. As for performance assessment and comparison with other fuzzy regression models, two approved goodness-of-fit measures are computed. The practical applicability of the proposed model is investigated in the context of a simulation study and four real-data applications. The empirical results reveal the superiority of the introduced regression model compared to its competitors. 
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