Scientific Journal of KubSAU

The article b riefly considers the prospects of some “points of growth” in the modern theoretical and computational mathematics: the numbers and sets, i.e. the base of modern mathematics; mathematical, pragmatic and computer numbers; from the usual sets - to unclear; the theory of fuzzy sets and “fuzzy dou-bling” of mathematics; the mix of fuzzy set theory to the theory of random sets; interval numbers as a spe-cial case of fuzzy sets; development of interval mathematics (interval doubling of mathematics); the system as a generalization of a multitude; the systematic generalization of mathematics and tasks emerging; the systematic generalization of operations on sets (on the example of the operation of the Boolean association); the systematic generalization of the concept of functions and functional dependencies participation; cognitive function; the matrix of knowledge as fuzziness with an estimated degree of truth of showing data systems arguments on the system of values of the function; modification of the method of least squares for the approximation of cognitive functions; development of the idea of the systematic generalization of mathematics in the field of information theory – system emergent information theory; information measures of the level of consistency; ratios of emergence; direct and opposite, direct and indirect logical reasoning with an estimated level of truth; intellectual system of Eidos X++ as a toolkit that implements the ideas of system of a fuzzy interval sum of mathematics

On the basis of local semantic information of the models of California the dependence of parameters seismic activity on the position of the space objects has been investigated and the model of short-term earthquake prediction has been created. The formal criteria of astronomical parameters of high informative value in the preparation and implementation of earthquakes have been established. On the example of semantic models, we have developed criteria for seismic hazard zones for individual study of the region of California 2x2 degrees of longitude and latitude with regard to the intended depth of the hypo-center and magnitude of possible earthquakes

The article considers measuring scales as a tool for creating formal models of real objects and a tool for increasing the degree of formalization of these models to a level sufficient to implement them on computers. It also describes the different types of measuring scales, allowing to create models of varying degrees of formalization; lists the types of transformation valid during the processing of empirical data obtained with scales of different types; develops the task of metriza-tion of the scales, i.e. conversion to the most formalized mind; it proposes 7 ways of metrization of all the types of scales, providing a joint comparable quantitative processing of heterogeneous factors measured in different units of measure due to the conversion of all scales to one universal unit of measurement in which the measurement number of information is selected. All of these methods of metrization have been implemented in the system-cognitive analysis and in the Eidos intellectual system

The article proves and develops the idea, the imple-mentation of which would significantly reduce the effort required to develop the educational-methodical complexes, simplify their signing and approval of the various officials and increase their quality, make the work of the developers of CBM more creative, releas-ing it from technical and routine moments

In the article on the real numerical example of pre-owned cars we show the development without programming and application in adaptive mode of realtor rapid assessment methodology for benchmarking assessment (comparative sales) using system-cognitive analysis and Eidos intellectual system. The level of complexity of required works corresponds to the laboratory work on systems of artificial intelligence and knowledge representation

This article briefly reviews the classical concept of functional dependence in mathematics, determines the limitations of this concept for adequate modeling of reality and formulates the problem, consisting in search of such generalization of the concept of func-tions, which is more suitable for the adequate reflec-tion of causal relationships in the real domain. Also, it discusses theoretical and practical solving the prob-lem, consisting in: (a) we suggest the universal method of calculating the amount of information in the value of argument about the meaning of the function, i.e. cognitive functions which is independent from the subject area; b) we offer software tools: Eidos intelli-gent system, allowing in practice to carry out these calculations, i.e. to build cognitive functions based on a fragmented noisy empirical data of high dimension. We also offer the concepts of nonreducing, partially and completely reduced direct and inverse, positive and negative cognitive functions and the method of formation of reduced cognitive function, which is a generalization of known weighted least-squares meth-od on the basis of observation the amount of infor-mation in the values of the argument about the values of the functions accounting

The article briefly describes the essence of manage-ment, stating the goals and structure of the system of personnel management. It considers the essence of the method of functional-cost analysis (FCA) and, as a major gap, we have noted a low level of formalization, which requires the involvement of ex-perts in applying the FSA. It also specifies the difference between the cost and the cost price. We consider the decision of questions of creation of the personnel management system on the FCA basis using the method of automated system-cognitive analysis (ASA-analysis), in particular: the measurement of the severity of socio-economic and psychological proper-ties, metric scales, build intellectual measuring system, the development and application of models, providing both building occupation graphs and their application to measure the degree of compliance of the Respondent with the requirements of professional positions and to the positions including the cost of employment of personnel and resources allocated for staff on posts. The proposed approach can be applied not only at the decision of tasks of human resource management with DAF method, but when you apply the FSA in a variety of subject areas, in particular - the method of direct-Costing

Is it possible to automate the study of the properties of numbers and their relationship so that the results of this study can be formulated in the form of statements, indicating the specific quantity of information stored in them? To answer this question it is offered to apply the same method that is widely tested and proved in studies of real objects and their relations in various fields to study the properties of numbers in the theory of numbers namely - the automated system-cognitive analysis (A.S.C. analysis), based on information theory

It was established that the Fermi-Dirac statistics, Bose-Einstein and Maxwell-Boltzmann distribution can be described by a single equation, which follows from Einstein's equations for systems with central symmetry. Emergence parameter of classical and quantum systems composed by the rays of gravitational waves interacting with gravitational field of the universe has been computed

The article briefly describes the essence of management, stating the goals and structure of the system of personnel management. It considers the essence of the method of functional-cost analysis (FCA) and, as a major gap, we have noted a low level of formalization, which requires the involvement of experts in applying the FSA. It also specifies the difference between the cost and the cost price. We consider the decision of questions of creation of the personnel management system on the FCA basis using the method of automated system-cognitive analysis (ASA-analysis), in particular: the measurement of the severity of socio-economic and psychological properties, metric scales, build intellectual measuring system, the development and application of models, providing both building occupation graphs and their application to measure the degree of compliance of the Respondent with the requirements of professional positions and to the positions including the cost of employment of personnel and resources allocated for staff on posts. The proposed approach can be applied not only at the decision of tasks of human resource management with DAF method, but when you apply the FSA in a variety of subject areas, in particular - the method of direct-Costing