Towards Combining Probabilistic, Interval, Fuzzy Uncertainty, and Constraints: On the Example of Inverse Problem in Geophysics
G. Randy Keller, Scott A. Starks, Aaron A. Velasco, Matthew G. Averill, Roberto Araiza, Gang Xiang, Владик Крейнович · scholarworks - UTEP (The University of Texas at El Paso) · 2007
In many real-life situations, we have several types of uncertainty: measurement uncertainty can lead to probabilistic and/or interval uncertainty, expert estimates come with interval and/or fuzzy uncertainty, etc. In many situations, in addition to measurement uncertainty, we have prior knowledge coming from prior data processing, prior knowledge coming from prior interval constraints. In this paper, on the example of the seismic inverse problem, we show how to combine these different types of uncertainty.