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arXiv · 1907.12991

Kernels on fuzzy sets: an overview

Jorge Guevara·Roberto Hirata Jr·Stéphane Canu
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Abstract

This paper introduces the concept of kernels on fuzzy sets as a similarity measure for $[0,1]$-valued functions, a.k.a. \emph{membership functions of fuzzy sets}. We defined the following classes of kernels: the cross product, the intersection, the non-singleton and the distance-based kernels on fuzzy sets. Applicability of those kernels are on machine learning and data science tasks where uncertainty in data has an ontic or epistemistic interpretation.

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Jorge Guevara, Roberto Hirata Jr, Stéphane Canu. 2019-07-30. Kernels on fuzzy sets: an overview. https://arxiv.org/abs/1907.12991

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