Solvability of interval linear equations and data analysis under uncertainty

Consideration was given to the problem of recognizing the solvability (nonemptiness of the solution set) of an interval systems of linear equations. A method based on the so-called recognizing functional of the solution set was proposed to solve it. A new approach to data processing under interval uncertainty based on the unconstrained maximization of the recognizing functional (“maximal consistency method”) was presented as an application, and its informal interpretations were described.