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Fuzzy Interpolation According to Fuzzy and Classical Conditions

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Author(s): I. Perfilieva | M. Wrublová | P. Hodáková

Journal: Acta Polytechnica Hungarica
ISSN 1785-8860

Volume: 7;
Issue: 4;
Start page: 39;
Date: 2010;
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Keywords: Fuzzy function | fuzzy equivalence | fuzzy space | fuzzy interpolation | fuzzy rule base interpolation

ABSTRACT
We will be focused on the interpolation approach to a computation with fuzzy data. A definition of interpolation of fuzzydata, which stems from the classical approach, is proposed. We investigate another approach to fuzzy interpolation(published in [5]) with relaxed interpolation condition. We prove that even if the interpolation condition is relaxed therelated algorithm gives an interpolating fuzzy function which fulfils the interpolation condition in the classical sense.
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