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EUSFLAT
2003

Fuzzy interpolation and level 2 gradual rules

14 years 29 days ago
Fuzzy interpolation and level 2 gradual rules
Functional laws may be known only at a finite number of points, and then the function can be completed by interpolation techniques obeying some smoothness conditions. We rather propose here to specify constraints by means of gradual rules for delimiting areas where the function may lie between known points. Such an approach results in an imprecise interpolation graph whose shape is controlled by tuning the fuzziness attached to the reference points. However, the graph so-built is still crisp, which means that different possible paths between the interpolation points cannot be distinguished according to their plausibility. The paper discusses a method for introducing membership degrees inside the interpolation graph. The developed formalism relies on the use of weighted nested graphs. It amounts to handling level 2 gradual rules for specifying a family of flexible constraints on the reference points. The proposed approach is compared with the one of extending gradual rules for dealing ...
Sylvie Galichet, Didier Dubois, Henri Prade
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2003
Where EUSFLAT
Authors Sylvie Galichet, Didier Dubois, Henri Prade
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