Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
391203 | Fuzzy Sets and Systems | 2006 | 10 Pages |
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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