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Estimation of a Simple Multivariate Linear Model for Fuzzy Random Sets

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Strengthening Links Between Data Analysis and Soft Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 315))

Abstract

A simple two-variate linear regression model with fuzzy random sets under concepts of functional data analysis is considered. The support function of a fuzzy random set establishes a useful embedding of the space of fuzzy random sets into a cone of a functional Hilbert space. Treating the fuzzy random sets as special functional data, we estimate the linear model within the cone. An example of the case of LR fuzzy random sets is given.

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Wang, D., Shi, M. (2015). Estimation of a Simple Multivariate Linear Model for Fuzzy Random Sets. In: Grzegorzewski, P., Gagolewski, M., Hryniewicz, O., Gil, M. (eds) Strengthening Links Between Data Analysis and Soft Computing. Advances in Intelligent Systems and Computing, vol 315. Springer, Cham. https://doi.org/10.1007/978-3-319-10765-3_24

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  • DOI: https://doi.org/10.1007/978-3-319-10765-3_24

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10764-6

  • Online ISBN: 978-3-319-10765-3

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