Article ID Journal Published Year Pages File Type
391203 Fuzzy Sets and Systems 2006 10 Pages PDF
Abstract

We consider the interpolation problem for functions whose range and domain both consist of convex or fuzzy subsets of a real Euclidean space. This problem arises in fuzzy controlling, namely when the functional dependence between two fuzzy vectors is known only for finitely many cases. To have a criterion for an appropriate choice of an interpolation function, we generalise the well-known idea from spline interpolation: the function should be “as smooth as possible”.

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