During the Fourth Industrial Revolution, the enterprises which have begun, in due time, to introduce modern approaches to the manufacture organization, including digital technologies, obtain an essential advantage over the competitors. One of the stages of planning the changes is assessing the enterprise informatization level. Evaluating the enterprise informatization level is required for appropriate and effective choosing digital transformation technologies and approaches during the enterprise digitalization. The given assessment represents a multi-criterion problem, demanding the development of the mathematical apparatus and the principles of its use as well. The developed procedure of evaluating the level of the industrial enterprise informatization in digital economy conditions includes the procedure of organizing the assessment of the industrial enterprise informatization level and also the mathematical model of conducting an expert estimation of criteria (indicators) of the organization digitalization. The procedure of assessing the informatization level is performed by the multiplier convolution of criteria. The weights of criteria are defined by the modified T.L. Saaty’s analytic hierarchy process. Also evaluating the weights of each expert’s individual estimation and defining the error of their assessment is conducted. The approach to the proved formation of the enterprise informatization levels is developed. The given technique allows to evaluate the informatization level in some areas and to allocate those which demand the development, to forecast occurring risky situations while introducing information technologies at the industrial enterprise.
The paper is devoted to the solution of two well-known paradoxes of inductive logic: Hempel’s and Goodman’s, which the science has not solved unambiguously yet. The results of this research can be used in any natural science, but they are especially relevant for areas where there is an emphasis placed on environmental friendliness and sustainable development. The central problem of this research is the problem of limits of applying classical logic laws. The problem is solved by method of reduction of logical laws to those cases where they, according to Aristotle, act faultlessly, and refusal of their recognition in the cases where their action is questionable. The aim of the paper is to demonstrate the solution of both problems within Aristotle’s logic. In that regard, the following results are received: common faults of previous solutions of Hempel’s paradox, consisting in ignoring any of its parties, are revealed; the original nature of Goodman’s paradox, consisting in wrong interpreting “inductive confirmation” criteria is opened; two methods of forming and assessing the subject volumes of statements are revealed: analytical and synthetical ones; it is proved that the theses treated in Hempel’s paradox as equivalent ones are not always so, but only on condition of their subjects’ reality and of their subject volumes’ identity; it is established that the conditions of the statement equivalence correspond to the limits of applying logic laws in Aristotle’s interpretation.
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