Kernels on fuzzy sets: an overview
Abstract
This paper introduces the concept of kernels on fuzzy sets as a similarity measure for [0,1]-valued functions, a.k.a. 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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