In this paper, a new concept of the fuzzy average is proposed, and a method (fuzzy optimization method, FOM) to fit curves and surfaces by means of the fuzzy average is investigated. The relation between the fuzzy average and the corresponding arithmetic mean is shown. Moreover, it is shown that the FOM is also suited for parallel processing, because the modification of elements of an approximate vector is calculated separately. Finally, some numerical experiments by using the FOM and other methods are presented, respectively.
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