Subjective Restoration of Omissions in the Measurement Data of an Object of Study and Its Mathematical Model

This paper deals with the formulation and solution of problems on the empirical restoration of the subjective mathematical model of an object of study, the scheme of its measurements, and the subjective interpretation of measurement data distorted by “omissions” in studied object measurements and noise, whose mathematical model is unknown. In this paper, the relevant problem of the subjective restoration of missing measurement data is formulated, solved, and studied, and the effect of omissions on the quality of the solution of subjective modeling problems is investigated. Some results of the comparative analysis of errors in the “automatic” and subjective methods for the restoration of measurement data are presented. Formulation and solution of the mentioned problems are carried out with the mathematical formalism of subjective modeling, which provides the mathematical formulation of both the subjective model of an object of study and the subjective models of its measurements with the subjective interpretation of measurement data. For this purpose, the subjective judgements of a researcher modeler¹ on the physical properties of the object of study, the means of its measurements, the mathematical properties of noise, etc., are used; all the used subjective information is based on the scientific experience of a researcher modeler and his intuition.