Extensions of linear regression models based on set arithmetic for\n interval data

2012/10/22 by Ángela Blanco, Blanco-Fernández, Angela, Marta García-Bárzana +5
Computer Science · Decision Sciences · Engineering · Mathematics · #Control Systems and Identification #D.2.4 #FOS: Mathematics #Fuzzy Logic and Control Systems #Fuzzy Systems and Optimization #G.1.2 #G.3 #Multi-Criteria Decision Making #Neural Networks and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1210.5881

openalex publication_date 2012/10/22 · openalex created_date 2022/09/11 · openalex updated_date 2026/07/28

Abstract

Extensions of previous linear regression models for interval data are\npresented. A more flexible simple linear model is formalized. The new model may\nexpress cross-relationships between mid-points and spreads of the interval data\nin a unique equation based on the interval arithmetic. Moreover, extensions to\nthe multiple case are addressed. The associated least-squares estimation\nproblem are solved. Empirical results and a real-life application are presented\nin order to show the applicability and the differences among the proposed\nmodels.\n

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