An ontological approach as a tool for managing the processes of constructing mathematical models based on interval data and further use of these models for solving applied problems is proposed in this article. Mathematical models built using interval data analysis are quite effective in many applications, as they have “guaranteed” predictive properties, which are determined by the accuracy of experimental data. However, the application of mathematical modeling methods is complicated by the lack of software tools for the implementation of procedures for constructing this type of mathematical models, creating an ontological model that operates by the categories of the subject area of mathematical modeling, regardless of the modeling object proposed in this article. This approach has made it possible to generate tools for mathematical modeling of various objects based on the interval data analysis for any software development environment selected by the user. The technology of creating the software on the basis of the developed ontological superstructure for mathematical modeling using the interval data for different objects, as well as various forms of user interface implementation, is presented in this article. A number of schemes, which illustrate the technology of using the ontological approach of mathematical modeling based on interval data, are presented, and the features of its interpretation when solving environmental monitoring problems are described.

The development of three modular Rabin's encryption algorithm with using ordinary integer and modified perfect forms of the system of residual classes is presented in this paper. This method takes precedence over classic in choosing modules of the same order in sustainability by increasing the block of plaintext for encryption. New methods for implementation of major labor-intensive operations of modular arithmetic are proposed: finding the square root and inverse elements by module. It is established that on the basis of HDL-models that can successfully implement on the modern programmable logical integrated schemes or programmable logical matrixes, the runtime of three modular Rabin's encryption algorithm with using a modified perfect form is reduced approximately half compared with conventional integer form.

System that automatically distinguishes structure and builds ontological model of a web resource content is considered in the paper. Models of system functioning are proposed. Architecture for realization of software system for structuring and building of web resource ontological model is developed. An example of developed system application for structuring, recognition and revealing of incorrect and non-reliable information on a website of an organization.

In the article the methods, algorithms and architecture of software system to identify non-relevant and wrong information for online website of organization using the web semantic and content analysis are considered.

Mathematical models of the efficiency dynamics of information web resources are considered in this paper. The application of interval discrete models in the form of difference equations is substantiated and the approach to estimation of the model parameters is proposed. The proposed approach is based on the artificial bee colony algorithm (ABCA). A number of experimental studies have been carried out based on data on the functioning of web resources related to environmental monitoring services. The indicator of an information web resource user’s activity has been investigated. Three cases of model building in the form of difference equations as interval discrete models (IDM) have been considered. They vary in the general kind of expression. As a result of the computational experiments, it is shown that the adequacy of a model depends on the expression of the difference equation. In the case of its incorrect choice, the proposed method of parameters’ identification may be ineffective. The obtained interval discrete model in the difference equation form, which describes the efficiency of a web resource, makes it possible to optimize business processes in an organization that uses this web resource, as well as optimally allocate organizational resources and the workload of employees of the administrative service center. Based on the conducted experiments, the efficiency of the proposed model’s application is confirmed.

The task of design a “saturated” experiment for measuring the characteristics of tissues in surgical wound in order to identify the recurrent laryngeal nerve (RLN) during operation on the neck organs considered in this paper. In this task, the method of selection a “saturated” block from an interval system of linear algebraic equations (ISLAE) is used, which allows to reduce the duration of surgical operation by decreasing the number of points for stimulation the surgical wound tissues to detect the RLN location and reduce the risk of its damage.