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Linear interpolation in a fuzzy information space
Authors:O. V. Verevka  I. N. Parasyuk
Affiliation:(1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine
Abstract:An approach to solving a linear interpolation problem in a fuzzy information space is proposed. Two different schemes of interpolation are outlined: a heuristic one, based on the geometrical interpretation of operations, and an optimization one, based on the expansion principle. The results obtained allow performing fuzzy linear prediction. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 55–68, March–April 2006.
Keywords:linear interpolation  fuzzy numbers  bell-shaped membership function  fuzzy variables  interpolation surface  beam  fuzzy linear prediction
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