Interpolation of fuzzy data: Analytical approach and overview

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Interpolation of fuzzy data: Analytical approach and overview

Fuzzy function
Fuzzy space
Interpolating fuzzy function
Interpolation of fuzzy data
similarity

Publication Type:

Journal Article

Authors:

Irina Perfilieva; Didier Dubois; Henri Prade; Francesc Esteva; Lluís Godo; Petra Hodáková

Source:

Fuzzy Sets and Systems, Elsevier, Volume 192, p.134-158 (2012)

Keywords:

Fuzzy function; Fuzzy space; Similarity; Interpolation of fuzzy data; Interpolating fuzzy function

Abstract:

We propose a general framework for the interpolation problem. Our framework stems from the classical elaboration of the problem. We introduce the notion of an interpolating fuzzy function and show how this function can be characterized. We examine and analyze previously published fuzzy interpolation algorithms to choose those algorithms that can be represented analytically. We also propose an analytic solution of the interpolation problem that unifies various algorithmic approaches.