Computer Engineering Commons^™

From Intervals To Domains: Towards A General Description Of Validated Uncertainty, With Potential Applications To Geospatial And Meteorological Data, Vladik Kreinovich, Olga Kosheleva, Scott A. Starks, Kavitha Tupelly, Gracaliz P. Dimuro, Antonio C. Da Costa Rocha, Karen Villaverde

Departmental Technical Reports (CS)

When physical quantities xi are numbers, then the corresponding measurement accuracy can be usually represented in interval terms, and interval computations can be used to estimate the resulting uncertainty in y=f(x1,...,xn).

In some practical problems, we are interested in more complex structures such as functions, operators, etc. Examples: we may be interested in how the material strain depends on the applied stress, or in how a physical quantity such as temperature or velocity of sound depends on a 3-D point.

For many such structures, there are ways to represent uncertainty, but usually, for each new structure, we have to perform …