English

Kernels on fuzzy sets: an overview

Machine Learning 2019-07-31 v1 Artificial Intelligence Machine Learning

Abstract

This paper introduces the concept of kernels on fuzzy sets as a similarity measure for [0,1][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.

Keywords

Cite

@article{arxiv.1907.12991,
  title  = {Kernels on fuzzy sets: an overview},
  author = {Jorge Guevara and Roberto Hirata and Stéphane Canu},
  journal= {arXiv preprint arXiv:1907.12991},
  year   = {2019}
}

Comments

Learning on Distributions, Functions, Graphs and Groups @ NIPS-2017, 8th Dec

R2 v1 2026-06-23T10:34:56.665Z