Research objective: to prove the feasibility of forming a problem-oriented array under complex conditions of uncertainty by using different options for modeling decision-making and selecting the optimal model. Formation, description, and intellectual analysis of a complex data set, which is an example of a problem-oriented library-museum-archival-information array on nobelistics, are carried out under conditions of uncertainty due to the ambiguity of attribution of each element to this array. The possibility of modeling decision-making in these conditions is shown, the best of which is the optimal formation, description, and intellectual analysis of a complex array of problem-oriented data. A typical information situation is used for modeling when the decision-making body has knowledge of the a priori probability distribution on the state elements of the data array. For each of the seven variants of information situations, a set of criteria for making optimal decisions is selected; each criterion is mathematically described. The real functioning subject-oriented library-museum-archive-information data array on nobelistics of the International Nobel Information Center, consisting of the Nobel Scientific Library, the Museum of the Nobel Family and Nobel Prize Laureates, the Archive of the Nobel Family and Nobel Prize Laureates, and electronic databases on nobelistics, was used.

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