interval uncertainty, measurement errors, fuzzy transform

When we measure the values $v(x)$ of physical fields at different locations $x$ (and/or different moments of time), then, in addition to the same measurement uncertainty, we also encounter another type of {\it localization} uncertainty: that the measured value may come not only from the desired location $x$, but also from the nearby locations. In this paper, we discuss how to handle this additional uncertainty.