Covers in general measurement problem

It is shown that in forms of the representational theory the General Measurement Problem (GMP) can be treated as discrete optimization problem. Moreover, particular discrete optimization problems appear at every stage of the GMP solution. There is a sufficiently compact family of problems that is universal to a considerable extent. They permit to manage many concrete practical tasks appearing in the arrangement of the measurement process with both quantitative and qualitative scales. It is demonstrated that these universal problems are covering problems. Several variants of these problems are discussed in context of measurement with numerical examples. This approach allows also to consider from an integrated point of view any kind of functions of measurement information systems: the check, the diagnosis and the pattern recognition