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A Broad Prospective On Fuzzy Transforms: From Gauging Accuracy Of Quantity Estimates To Gauging Accuracy And Resolution Of Measuring Physical Fields, Vladik Kreinovich, Irina Perfilieva
A Broad Prospective On Fuzzy Transforms: From Gauging Accuracy Of Quantity Estimates To Gauging Accuracy And Resolution Of Measuring Physical Fields, Vladik Kreinovich, Irina Perfilieva
Departmental Technical Reports (CS)
Fuzzy transform is a new type of function transforms that has been successfully used in different application. In this paper, we provide a broad prospective on fuzzy transform. Specifically, we show that fuzzy transform naturally appears when, in addition to measurement uncertainty, we also encounter another type of localization uncertainty: that the measured value may come not only from the desired location x, but also from the nearby locations.