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: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1 January 2026
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| 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 |
| Verfasserangaben: | Gholamreza Hesamian, Arne Johannssen, Nataliya Chukhrova |
MARC
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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. | ||
| 650 | 4 | |a Center and range method | |
| 650 | 4 | |a Crisp predictors | |
| 650 | 4 | |a Cross-validation | |
| 650 | 4 | |a Fuzzy responses | |
| 650 | 4 | |a Interval regression | |
| 650 | 4 | |a Locally weighted linear regression | |
| 700 | 1 | |a Johannssen, Arne |e VerfasserIn |0 (DE-588)1104860015 |0 (DE-627)862207738 |0 (DE-576)472927582 |4 aut | |
| 700 | 1 | |a Chukhrova, Nataliya |e VerfasserIn |0 (DE-588)1145053513 |0 (DE-627)1005250170 |0 (DE-576)495594725 |4 aut | |
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