A Fuzzy Linear Regression Model With Functional Predictors And Fuzzy Responses Article Swipe
Gholamreza Hesamian
,
Mohammad Ghasem Akbari
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.21203/rs.3.rs-207762/v1
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.21203/rs.3.rs-207762/v1
A novel functional regression model was introduced, where the predictor was a curve linked to a scalar fuzzy response variable. An absolute error-based penalized method with SCAD loss function was proposed to evaluate the unknown components of the model. For this purpose, a concept of fuzzy-valued function was developed and discussed. Then, a fuzzy large number notion was proposed to estimate the fuzzyvalued function. Some common goodness-of-fit criteria were also used to examine the performance of the proposed method. Efficiency of the proposed method was then evaluated through two numerical examples, including a simulation study and an applied example in the scope of watershed management. The proposed method was also compared with several common fuzzy regression models in cases where the functional data was converted to scalar ones.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.21203/rs.3.rs-207762/v1
- https://www.researchsquare.com/article/rs-207762/v1.pdf?c=1631877855000
- OA Status
- green
- Cited By
- 1
- References
- 68
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3158839168
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W3158839168Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.21203/rs.3.rs-207762/v1Digital Object Identifier
- Title
-
A Fuzzy Linear Regression Model With Functional Predictors And Fuzzy ResponsesWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-04-26Full publication date if available
- Authors
-
Gholamreza Hesamian, Mohammad Ghasem AkbariList of authors in order
- Landing page
-
https://doi.org/10.21203/rs.3.rs-207762/v1Publisher landing page
- PDF URL
-
https://www.researchsquare.com/article/rs-207762/v1.pdf?c=1631877855000Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://www.researchsquare.com/article/rs-207762/v1.pdf?c=1631877855000Direct OA link when available
- Concepts
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Fuzzy logic, Mathematics, Scalar (mathematics), Regression analysis, Computer science, Applied mathematics, Statistics, Artificial intelligence, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
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2023: 1Per-year citation counts (last 5 years)
- References (count)
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68Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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