0 Irina Perfilieva Didier Dubois Henri Prade Francesc Esteva Lluís Godo Petra Hodáková 2012 Fuzzy Sets and Systems Elsevier 192 134-158 04/2012 Fuzzy function, Fuzzy space, Similarity, Interpolation of fuzzy data, Interpolating fuzzy function 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.