No. 5 (2020)

The objectives of the study are to develop and assess the effectiveness of the structure of a
cloud platform for storing, processing and organizing medical data, determining a method of protection,
in particular, ensuring confidentiality when transferring and storing examination results.
To achieve this goal, the tasks of analyzing existing models of information processes and structures
in the subject area are being solved, the features of the means for accumulating and processing medical data stored in electronic information systems for patient registration, the architecture
of a cloud platform for distributed data storage and an algorithm for ensuring the safety of
medical data stored in the cloud are being developed. the platform in electronic form in the form
of initial physiological signals (EEG, ECG, EMG, EOG, etc.) recorded during patient examinations;
an integrated cloud platform for distributed storage, analysis and systematization of medical
data and a security system using the developed protection method are being created; the effectiveness
of the proposed algorithm for protecting confidential medical information is analyzed in the
context of integration into the developed cloud platform. The proposed method for protecting a
medical information system involves the use of an original DICOM file and subsequently a converted
PNG image, which is subjected to a pixel encryption algorithm. An algorithm based on
chaos theory is used to encrypt the image. The capabilities of chaos systems can significantly increase
productivity. Hierarchical division of data streams into levels and standardization of data
transfer protocols, as well as their storage formats, allow to form a universal, flexible and reliable
medical information system. The proposed architecture has the ability to integrate into existing
medical systems. In the course of the work, it was found that the considered protection method is
an effective way to ensure the confidentiality of medical system data.

Pseudo-dynamic substitutions PD-sbox can become an effective replacement for fixed substitutions
in pseudo-random functions, since they have the positive properties of both fixed substitutions
(low consumption of computational resources) and dynamic substitutions (which can radically complicate
the application of statistical cryptanalysis methods). The problem of active implementation of
pseudo-dynamic substitutions is, inter alia, the absence of a computationally efficient method for
determining the averaged linear properties for the entire set of equivalent substitutions generated
using PD-sbox, while in most cases, only the determination of the maximum values of the prevalence
(bias) bias (α, β) from the ideal value 1/2. To solve this problem, an original method is proposed,
which consists in the fact that the maximum dominance values are calculated only for relatively small
fixed substitutions included in the PD-sbox, and the resulting maximum dominance values are obtained
by iterative calculation using a logical-probabilistic expression for the Exclusive OR operation
-NO (XNOR). The effect of using the proposed method is a dramatic reduction in computational
operations and, accordingly, the possibility of determining on a typical personal computer the maximum
values of the prevalence bias (α, β) for 16-element PD-sboxes consisting of 8-bit fixed substitutions
(which is unattainable when using a trivial method).

Electrocardiographic (ECG) signals have several properties that can greatly complement
the existing, and more established biometric modalities. Some of the most prominent properties
are the fact that the signals can be continuously acquired using minimally intrusive setups, are
not prone to produce latent patterns, and provide intrinsic liveliness detection, opening new
opportunities within the area of biometric systems development. The paper proposes methods
for forming a database of ECG signals and their fragments for assessing the characteristics of
portable digital on-line monitors. In the method of discrete wavelet transform (DWT) it allows
to determine with high accuracy the presence of RR-intervals and their segments. This makes it
possible to use this method for classifying ECG signals, forming a database of signal data records
and generating test signals designed to assess the characteristics of wearable digital
ONLINE monitors. This article presents an improved and more efficient algorithm by Discrete
Wavelet Transform for generating electrocardiogram (ECG) signals from the PhysioBank archive
to test the performance of an ECG machine.

Designing a printed circuit board in the form of flat structures without jumpers is one of the
most difficult tasks at the stage of circuit design. The task in this formulation is especially relevant for
micro-assemblies for electronic modules of control and verification, on-board equipment, made using
surface-mount technology, where, for example, due to a metal heat sink or a ceramic base, the structure
of connections is possible only in one layer. The paper deals with the problem of designing
printed circuit boards in the form of synthesis of flat structures of electronic circuits. The goal is to
position the connections on the PCB without overlapping, making it easier for any router in modern
design programs to route. To solve it, a large number of different algorithms have been proposed, the
main disadvantage of which is the principle of sequential and fragmentary viewing of the switching
space inherent in them. The complexity of the algorithms for the synthesis of such structures is also
due to the need to take into account a large number of different requirements associated with the
specifics of their manufacture and the features of the developed constructive and technological solution.
In this paper, it is proposed to design a printed circuit board with a high efficiency of routing
connections by solving the problem of stratifying the original graph-scheme and constructing a flat
graph-scheme both on the installation side of the electrical radio elements and on the reverse side of
the board - the soldering side, excluding forbidden figures according to Potryagin's theorem -
Kuratovsky. The criterion is to minimize vias as well as minimize conductors (fins) on one side of the
PCB. The bundle problem is a graph coloring problem in two colors using the principles of characterization
control, the solution of which is based on the Koenig theorem, which defines a forbidden
figure in the form of cycles of odd length. For the design of printed circuit boards, an algorithm and
method for constructing planar graphs and stratifying the graph into two sides of the printed circuit
board with a decrease in the number of undistributed edges have been developed. The exact solution
takes the form of a polynomial dependence not higher than the 5th degree, it allows you to get the
result in a reasonable time and increase the tracing efficiency by 5–15 %

Biometric identity verification is used primarily for access to computer and mobile systems, as
well as for remote (voice) verification. In fact, the most widespread systems are biometric verification
systems based on a fixed passphrase, which are quite simple to implement, but very vulnerable to
attacks of reproduction of a compromised short text. To eliminate this drawback, it is proposed to
carry out identity verification using a text that is arbitrary in terms of volume, content and language
(text-independent biometric verification). This paper proposes a generalized approach to solve the
problem of identity verification by dynamic biometric parameters of different modality (keyboard
writing, handwriting, voice). The presentation of dynamic biometrics signals is carried out by converting
them into a sequences of information units, each of which contains the same number of counts
of biometric signal of corresponding modality. The solution to this problem is carried out by monitoring
the degree of concentration of closely located information units (clusters) at certain points of the
multidimensional feature space. Such control is implemented on a probabilistic neural network thatstatistically evaluates the probability density of the distribution of information units in the corresponding
clusters with the subsequent determination of the total probability density for the entire
class of objects. The advantages of the proposed approach are: generalization of substantially different
methods of text-independent identity verification by dynamic biometric parameters of different
modality; the ability to make a verification decision for a fixed time of receipt of biometric data, determined
by the size of the model used; the ability to set the verification accuracy by changing the
dimension of the layer of probabilistic network samples. The disadvantage of the proposed approach
is the need for software implementation of a large-scale neural network. However, this drawback is
quickly leveled with an increase in the productivity of computer technology.

The aim of this work is to study the ways to organize parallel solutions of external aerodynamics
problems. A hybrid parallel-conveyor method for numerical solution of two-dimensional
problems is considered. It allows to simulate the flow of viscous compressible fluids around objects
of complex shape. A parabolized system of Navier-Stokes equations is considered, for the
numerical solution a finite-difference algorithm is chosen. Due to its features (cost-effectiveness
and stability in the study of boundary layers of moving bodies) this algorithm was preferred. To
implement a nonlinear finite-difference scheme, the internal iterations are used in each main section.
The developed parallel algorithm consists constructively of nested iterative loops. The system
of equations is solved at each internal iteration. It is organized in two stages. At the first stage the
equations of motion are solved; at the second stage the density is determined. At each fractional
step of the internal iteration, one-dimensional data arrays are calculated. The paper uses the
method of splitting the operator by physical processes. For the numerical solution of the problem,
the factorization of the stabilizing operator is carried out. The scheme of the organization of the
process of problem solving is given in each internal iteration. The paper proposes the principle of
organizing parallel computing. The internal parallelism of the physical problem is used here.
To implement the parallel algorithm, a computing environment is specially selected. It contains a
decisive field of computing devices connected by switching connections, each of computing device
has its own RAM. Besides computing environment contains a control device. The parallel algorithm
uses a communication topology between worker processors. Reducing the dimension of the
problem (to 2d) allows to save time on data exchange between the processors. In this paper, time
estimates of the effectiveness of the developed parallel algorithm for each internal iteration are
carried out. The use of the parallel run method and the proposed principle of organizing parallel
calculations allow to increase the effectiveness of solving problems of such class.

Band-pass filters are an integral part of any radio equipment. They determine the selectivity of
the receiver for all channels of reception. The aim of this work is to modelling two microstrip filters
of the centimeter wave range. The object of study in this work are two microstrip filters at a frequency
of 5.75 GHz and 4.6 GHz. Such filters can be used in the converter of the centimeter wave range
as a signal and heterodyne filters. Two filters were simulated in the Microwave Office environment.
The results are presented in the form of models of two filters and four amplitude-frequency characteristics.
Given are the geometric dimensions of the filters, sufficient for their manufacture on material
RT5870 of Rogers company. Filters have a bandwidth of 200 MHz and a loss in bandwidth of not
more than 3 dB. Losses in the stop band for the signal filter were at least 45 dB, and at least 35 dB
for the heterodyne filter, which is a very good result for a two-pole filter. Acceptable electrical parameters,
small dimensions and moderate cost of manufacturing filters allows them to be widely used
in professional and amateur radio equipment. To improve the manufacturability of manufacturing, a
material with a low dielectric constant was selected. At the same time, gaps and tolerances on theaccuracy of their manufacture are acceptable. The design of the filters allows them to be easily
integrated with other components of the converter: a low-noise amplifier, a mixer, an intermediate
frequency amplifier, an amplifier in the local oscillator path.

In the paper we present the new computing models for the common cubature formulas computing
unit design and optimization. The basis of new modeling technique is related with the space
granulation theory, developed in our recent papers. The Spatial Granulation Technique allows us
to pass from computing in the metrical data points space to affine data space, contains the aggregated
data units named as granules. The introduced data transformation based on the affineinvariant
Cartesian granule model and on the optimal data points coarsening procedures. The
useful properties of new data models allows to provide the very efficient multivariable data management
procedures. The one of them is the multivariate cubature formulas calculation. The new
theory provides the obvious matrix data processing models for the information graphs design andoptimization. We can perform the equivalent mappings for the complicated information graph
models for the efficient structures matching. Optimized models of information graphs are used for
the FPGA-based devices implementation. The main problem of FPGA design is the commutation
structures complication for the large FPGA fields, obtained as the basic units for the reconfigurable
cubature formulas computing units. In this work we use the high-level programming language
COLAMO and assembler language Fire Constructor for the computing units implementation. As a
result of new technique implementation we can provide the family of adequate and useful graphic
representation for a multivariable cubature formulas over the matrix calculation. The provided
models are suitable for the optimal design of configurable computing structures, universal and
dedicated devices from the FPGA basis. For the device implementation the developed high-level
software products are used. For the designed universal devices the testing procedures was performed
and examined with the symbolic calculation software for the computing results evaluation.

With regard to the interaction of complex systems, the issues of monitoring the information situation,
the types of information interactions and the topological approach to taking into account the
multimedia interaction of complex systems in the underwater environment are considered. The classification
of the main effects arising from information interaction of marine technogenic objects is
given. Three main groups of effects associated with the physics of media, with the features of the
propagation of energy in these media and with the features of the actual interaction of two or more
objects are distinguished. The scheme of clustering of effects is given: uncertainty, incompatibility,
nonlinearity, relativistic effects, effects on the boundaries of media. Within these clusters, the article
considers the following effects: an increase in the intensity of information exchange, the emergence
of unpredictable new connections, causal incompatibility, antipodes, glare, backlights, relativistic
effects. It is shown that there are certain differences in the information interaction of objects in media
with different interaction rates and dissipation of interaction energy. These differences are manifested
in an increase in the intensity of exchange in dense media at some "proximity" distances. In thiscase, the emergence of unpredictable causal relationships is observed. During the exchange of information
in these regions of the singularity, in addition to the effects caused by the peculiarities of
the propagation of signals in water, the effects associated precisely with the information interaction
of two or more objects are observed. It is noted that almost all effects can lead to a significant distortion
of the information perceived by objects and to a violation of the decision-making process. Incompatibility
effects have the greatest catastrophic potential. At high speeds of movement of marine
technogenic objects for individual observers, a violation of causality is possible. The scheme of violation
of causality in the interaction of objects is shown, associated with the loss of information of
two types – relativistic (due to the excess of the speed of movement of objects over the speed of interaction
in the medium) and geometric (due to the exit of a "fast" object from the region of "slow" pulse
propagation). It is concluded that it is necessary to carry out physical simulation using highperformance
systems and modern mathematical methods on a single criterion basis.

The number of vehicles on public roads is constantly increasing, and the development of road
infrastructure is proceeding at a slow pace, and not high-quality transport management entails an
increase in transportation costs, an increase in accidents, noise levels, and environmental pollution.
As a consequence, there is a need to apply advanced algorithms and approaches to transport management
in order to maximize the use of the existing road network and increase road capacity. In the
course of recent studies, it has been revealed that adaptive approaches to traffic management are
most effective on sections of the road network with high traffic intensity and variability. The essence
of the approaches to adaptive management used today is that they are based on the analysis of traffic
congestion and change the phases of traffic light operation depending on the received data in real
time .. Adaptive traffic management shows much better results compared to tight control , significantly
reduces transport delays, travel time and emissions of harmful substances into the atmosphere,
therefore, modern researchers are developing new and improving existing approaches and algorithms
for adaptive transport control. For example, traffic management approaches based on the
concept of IoT and the use of cloud computing are actively developing. The concepts of applying the
agent-based approach to adaptive control are also being developed. The paper proposes a method
for managing traffic flows and automating road infrastructure using an agent-based approach. The
proposed approach includes distributed management of various elements of the road network and
their direct interconnection with each other. To implement this concept, the open standard of distributed
control and automation systems IEC 61499 was used, and to test the feasibility of implementation,
several models of traffic intersections were used, one of which was created on the basis of real
data and SUMO - a microscopic and continuous traffic simulation package.

The purpose of this work is to study the principle of operation and characteristics of a modulation-
type noise signal conditioner in which quasi-harmonic noise signals are used as a carrier
oscillation and modulating signal and in which the spectrum width of the noise signal is controlled
in a given frequency range. A study of the structure of the construction characteristics of the noise
signal generator that can be used to create adaptive multichannel noise generators to provide
active protection of informative components of side electromagnetic radiation and interference
(SERaI). According to the sources of domestic and foreign literature, as well as patent documentation,
the analysis of technical solutions for the implementation of noise generators intended for
masking SERaI were analyzed. The analysis confirmed the relevance of the problem of creating
adaptive noise generators. It is noted that it is necessary to create multichannel adaptive noise
generators to improve the characteristics of noise generators and make them more widely used in
order to effectively counteract unauthorized leakage of information by hackers through the SERaI
radiation channels. In these generators, each noise channel can be adjusted for power, generated
noise signal and control of the noise masking frequency bandwidth, which will increase the electromagnetic
compatibility of such devices. To ensure this, it is proposed to use two analog signalmultipliers in the noise signal conditioner, from the outputs of which the noise signals are summed
and sent to the output of the noise signal conditioner which allows to obtain a uniform noise signal
in amplitude. It provides control over the spectral width of the noise signal at least twice as compared
to traditional methods of generating a noise signal using modulation methods.

In the work the problem of reuse of earlier developed software models in complex systems
and their components, arising before researchers in case of necessity of transition to new modeling
tools, is considered. As a solution to this problem, a Multitranslator software environment was
developed, which made it possible to implement multilanguage translation of models' source codes
into the required format of the target modeling environment using the created translation modules.
Then, based on the Multitranslator, a client-server application was developed – a Distributed
models library, which, along with the models translation function, performed the function of their
network storage and access, providing a distributed implementation of the approach. The development
of the approach and the Distributed models library was carried out in the direction of
translation automation and resolving exceptional cases that occur during model translation
caused by insufficient input data or uncertainty in model conversion decisions that occur when
there are too many outcomes during parsing. To solve this problem, it was proposed to use an
expert system with a knowledge base. Knowledge engineering is considered as the main process of
synthesis of necessary knowledge for the knowledge base. The following sources of knowledge
acquisition during the development of the expert system are proposed: the translation module of
Multitranslator; technical documentation of input/output languages for describing models for
translation; extended and additional publications on describing these languages; experts on languages
for describing models for translation. The main stages of knowledge engineering are considered
next: defining a knowledge acquisition strategy; identifying knowledge elements; creating
a knowledge classification system; developing a detailed functional layout; pre-planning of control
transfer processes; and defining system requirements. The results obtained will allow expanding
the functionality of the Distributed models library when translating models using an expert
system and efficient processing of uncertainties that arise during translation.

The problem of the formation of the electric state in the lower layer of the atmosphere near
the Earth's surface is considered in the article. An electrodynamic model of a non-stationary turbulent-
convective surface layer is investigated in the approximation of the electrode effect. The
initial system consists of the ionization-recombination equations for aeroions and the Poisson
equation. Depending on the meteorological conditions in the atmosphere, the cases of classical
and turbulent electrode effects, as well as the approximation of strong turbulent mixing, are considered
separately. Turbulent and convective transport, the degree of air ionization, and the presence
of submicron aerosol particles in the air are factors that affect the space-time structure of the
electrode layer. Dimensionless parameters (similarity criteria) for electrodynamic equations are
revealed, which allow choosing the appropriate approximation for modeling the structure of the
electrode layer depending on atmospheric conditions. In an aerosol-free atmosphere, the time to
establish a stationary state in the electrode layer is about 5 minutes, for the classical layer (the
typical height is about 4-5 m), and in the turbulent layer-about 15 minutes. (the typical height is
about 10 m). In the case of strong turbulent mixing, the distribution scale of electrical quantities
increases to hundreds of meters. The ratio of the characteristic velocities of turbulent and convective
processes indicates the predominant physical mechanism of ion transport and the formation of
the electrode layer structure. An increase in the rate of convective transport directed downwards
leads to a weakening of the turbulent mixing mechanism, and when moving up, the opposite effect
occurs. The presence of a submicron aerosol in the atmosphere leads to the formation of heavy
ions, the mobility of which is much less than that of aeroions. Single-charged aerosol particles
with a concentration not exceeding the number of aeroions slightly change the spatiotemporal
characteristics of the electrode layer. While the presence of repeatedly charged aerosol particles
in the surface air increases the time of electrical relaxation and reduces the height of the electrode
layer. At sufficiently high concentrations of aerosol (more than the number of aeroions by an order
of magnitude or more), it is necessary to take into account its transport by turbulentconvective
flows, and the structure of the electrode layer is determined only by heavy ions.

The high demand for increased bandwidth, data rate and quality in optical communication
systems in modern applications. Radio over free space optics (RoFSO) is deemed a new design
methodology over wireless systems and networks. This technique has to ensure data rates like ones
presented by means optical fiber communication techniques in keeping with a portion of its arrangement
cost. Such systems are implemented by combined radio signal (RF) with optical signal,
which containing various wireless administrations and Free Space Optics (FSO) link. In this paper,
the simulation and evaluation system of Subcarrier Multiplexing/Amplitude Shift Keying
(SCM/ASK) transmitter for Free Space Optical Communication is proposed. 1Gb/s data Rate given
to the system. Whilst 10 GHz radio frequency signal setting in electrical amplitude modulator.
Thereafter, radio signal is added with 100 subcarrier channels of 10 MHz spacing channel at
operated first channel frequency of 60 MHz. These subcarrier channels with 900 combined with
10 GHz sin wave signal ( radio frequency ) at hybrid coupler, the combination of each subcarriers
and radio signal are modulated by LiNb Mach-Zehnder optical modulator with 1550 nm wavelength
continues wave laser signal at 10 dBm input power. The optical modulated signal (after
optical modulator) is transmitted over a various free space optical link from 300m to 1km under
the Atmospheric turbulence effect (the structure feature of the refractive index). The system is
evaluated utilizing Opti system software with Q-factor and BER terminology. It is shown that the
maximum optical distance for weak turbulence (
at BER equal to 10-9 is
950m, while the maximum optical distance for strong turbulence
is 850m.

The suppression of illegal activities of Internet users is one of the urgent problems of information
security in the Russian Federation. The suppression of the activities of persons committing
illegal actions using digital technologies, in particular, using the Tor anonymous network, is one
of the tasks of federal law enforcement agencies that ensure information security. The difficulty of
detecting and identifying the use of the Tor software package in data transmission networks is due
to a number of measures taken by its developers aimed at masking the data flow of the complex,
including the use of modern algorithms for encryption of data packets. The aim of the work is to
create and describe a set of attributes for establishing an https-connection by the Tor softwarepackage in the context of using TLS data encryption using the version 1.3 protocol. The tasks of
the work are the preparation and analysis of traffic materials of the Tor software package, as well
as the creation, based on the data obtained, of a set of signs of establishing a connection between
the client and the server of the anonymous network. In the course of analyzing the data flow of the
anonymous network, the stage of establishing a connection between the client and the input server
of the chain of nodes of the Tor network, the so-called "TLS handshake", was investigated. It
should be noted that this work complements previous studies on the analysis of TLS encryption in
terms of the TLS v1.3 encryption protocol used since 2018, describing its features as part of the
mechanism for implementing anonymization by the Tor software package. The authors propose to
use the size of the "TLS handshake" packets as the main features that carry identifying information
about the establishment of an anonymous connection between the client and the Tor network node.
The reported study was funded by Russian Ministry of Science (information security), project
number 23/2020.

The problem of transferring the experience of decision-making in situational analysis using
geoinformation systems is considered. The need for intellectual support from the geoinformation
system is due to the fact that spatial objects and connections of the real world are extremely dynamic.
Under these conditions, it is not possible to apply analytical models of processes and phenomena
due to the incompleteness and inconsistency of the information describing them. Statistical
models depend on a large number of factors, which vary as the geographical location of the
situation changes. An alternative is to use the experience of experts who are able to make effective
decisions in local spatial situations. The lack of control over the reuse of experience is a problem.
The knowledge gained in developing solutions in one locality can lead to inadequate solutions in
another locality. The experience of solving a problem in the same area loses its significance over
time. In this paper, we propose a representation of knowledge in the form of an image consisting
of a center and acceptable transformations of the center. Image transformation functions that
perform knowledge transfer are introduced. The properties of transformation functions that carry
procedural knowledge about the images of situations are analyzed. The use of the identified properties
for the formation of a test plan for software transformation procedures is considered. Thecriteria for successful transformation are studied. The optimization problem of finding the best
transformation function in the GIS knowledge base is formulated. A generalized method of transforming
experience is proposed. An example of the synthesis of transformation methods for selecting
an operational call center is given. The image of the situation of making a decision about
choosing a land plot for a service center is transformed into the specified area on the GIS map.

The article presents an algebraic approach to the representation and processing of digital
images defined on hexagonal lattices. The described approach is based on the representation of images
as functions on finite fields of “Eisenstein's integers”. As it turns out, the elements of such fields
naturally correspond to the pixels of hexagonal images of certain sizes. The exponential and logarithmic
transformations in the Eisenstein fields are described. A method for detecting the centers of
threefold rotational symmetry in grayscale images is presented and the corresponding normalized
measure of symmetry is introduced. The main purpose of the work is to study the effect of noise on the
image on the quality of the symmetry assessment using the introduced measure. The noise factor must
be taken into account, since a decrease in the measure can be caused not only by the incomplete
symmetry of the real object, but also by distortions due to noise, which is almost always the case.
Obviously, this difference will be proportional to the level of the noise component. Analytical estimates
of the effect of noise on the criterion for detecting symmetry are obtained in this work. If images
are subject to random noise, then the measure of symmetry of local image areas will be a random
variable, the distribution law of which is determined by the distribution laws of noise components. At
the same time, the standard for image processing assumption is made in the work about the model of
normal and independent noise level of the brightness function. The peculiarity of the introduced
threefold rotational symmetry measure does not allow directly applying standard methods to obtain
probabilistic estimates. For this purpose, an assessment of the cumulative probability distribution
function was carried out, on the basis of which an expression was obtained for the probabilities of
deviation of the symmetry measure from the true value by a given value. By virtue of the a priori
assumptions made, the obtained estimate should be considered as rather "cautious" and it can be
expected that in reality the spread of the measure caused by noise in the image will be significantly
less than the theoretically established boundaries.

Informative signs of the dynamics of manipulation by control devices such as a mouse and
keyboard play an important role in the development of software complexes for the identification of
biotechnical systems (BTS) operators by their individual dynamics, in solving problems of diagnostics
of various psycho emotional states and operator productivity. It finds application in the
spheres of technical and law enforcement security, medical and energy spheres, etc. The purpose
of this work is to formalize a set of informative signs of the dynamics of manipulation by control
devices to solving the problem of diagnosing the productivity of BTS operators. To achieve this
goal, an overview of the most frequently used features is presented, the Bayesian approach is considered
in the statistical formulation of the recognition problem, a set of informative sings of the
dynamics of keyboard handwriting and the dynamics of mouse manipulations is formalized basedon the results of a number of works. Operator productivity forecast based on fuzzy rules based on
selected criteria gave an accuracy of more than 90%. The advantage of using the dynamics of
manipulation of the control devices of the BTS operators is the absence of special equipment that
requires additional costs.