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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Intelligent System for Supporting Collaborative Decision Making by the Pilot/Air Traffic Controller in Flight Emergencies</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Yuliya Sikirda</string-name>
          <email>sikirdayuliya@ukr.net</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tetiana Shmelova</string-name>
          <email>shmelova@ukr.net</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vyacheslav Kharchenko</string-name>
          <email>v.kharchenko@csn.khai.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mykola Kasatkin</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Flight Academy of National Aviation University</institution>
          ,
          <addr-line>Dobrovolskogo Str., 1, Kropyvnytskyi, 25005</addr-line>
          ,
          <institution>Ukraine National Aviation University</institution>
          ,
          <addr-line>Liubomyra Huzara ave., 1, Kyiv, 03058</addr-line>
          ,
          <institution>Ukraine National Aerospace University H.E. Zhukovsky "Kharkiv Aviation Institute"</institution>
          ,
          <addr-line>Chkalov Str., 17, Kharkiv, 61070</addr-line>
          ,
          <institution>Ukraine Kharkiv National University of Air Forces named by I. Kozhedub</institution>
          ,
          <addr-line>Sumska Str., 77/79, Kharkiv, 61023</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>For comprehensive accounting of the factors influencing the collaborative decision making (CDM) process by the pilot/air traffic controller in the flight emergency (FE), a conceptual model of the adaptive Intelligent System for Supporting Collaborative Decision Making (ISSCDM), which considers dynamic, static and expert information about the state of the control object (aircraft), environment (characteristics of air traffic control zone and aerodromes) and Air Navigation System operators (characteristics of the pilot/air traffic controller), was built. ISSCDM by the pilot/air traffic controller in the FE uses CDM models based on an artificial neural network. For assessing the risk of CDM by the pilot and air traffic controller in the FE, a four-layer recurrent neural network with additional inputs - biases was developed: the first layer (input) - the losses in the FE depending on the flight situation; the second layer (hidden) - the normative time of technological procedures for FE parrying; the third layer (hidden) - the normative sequence of technological procedures for FE parrying; the fourth layer (output) the risk assessment in FE. The developed neural network model due to the biases makes it possible to take into account the interaction between the pilot and air traffic controller when performing technological procedures on FE parrying and with the help of feedback to correct the predicted CDM risk assessment based on dynamic data about compliance by the operators' coordinated standards of time and normative sequences of actions. With the help of NeuroSolutions neuroemulator (version 7.1.1.1) on the example of FE "Failure and fire of the engine on the aircraft when climbing after take-off" the multilayer feedforward perceptron with biases was built and trained with the teacher by the procedure of the error backpropagation.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Artificial neural network</kwd>
        <kwd>bias</kwd>
        <kwd>coordinated actions</kwd>
        <kwd>interaction</kwd>
        <kwd>neuroemulator</kwd>
        <kwd>risk assessment</kwd>
        <kwd>technological procedures</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Flight safety in the aviation industry is very important. Despite the significant amount of
passengers in previous years, statistics show that flights have never been safer. From 1959 to 2017
years, in 500 aviation accidents with commercial passenger aircraft (ACFT) 29 298 people died.
However, between 2008 and 2017 years, 2 199 people (less than 8% of the total) was killed as a result
of 37 accidents. In 2017 year, for the first time in at least 60 years of aviation's existence, there were
no fatalities on commercial ACFT. Even 2018 year, which saw a total of 15 catastrophes, ranks third
in flight safety in history. The probability of a passenger dying in an aviation accident is much low
compared to other modes of transport, such as a car or bicycle accident, as well as other more
unexpected cases, such as a random shot from a pistol or a dog attack [1]. The continuous rise of the
flight safety level can be explained by many factors. ACFT have become more reliable. Safety
systems and protocols have improved significantly. A number of design decisions have had a
substantive impact on accidence, including improvements in the aerodynamic characteristics and
design of the ACFT, construction failure criteria, improvement of cockpit instruments, and an
increase in the number of operated ACFT with automatically controlled flight [2–3]. Scientific
advances have also allowed the aviation industry to better understand how the human factor
influences flight safety. At the same time, important enhancements in production processes, ACFT
operation, and regulation have also been achieved [4]. Despite improvements of ACFT and air traffic
control (ATC) systems, the human factor still has an appreciable impact on flight safety [5–6].</p>
    </sec>
    <sec id="sec-2">
      <title>2. Analysis of the latest research and publications</title>
      <p>In the reports on the state of flight safety in civil aviation of the members of the Agreement on
Civil Aviation and on the Use of Airspace [7], statistics show a certain dynamics of aviation accidents
due to the human factor (Table 1, Figure 1).</p>
      <p>As is clear from Table 1 and Figure 1, in the period from 2012 to 2014, the indicator of aviation
accidents due to the human factor has remained at the level 80-83%, in 2015 has decreased to 70%, in
2016 has sharply increased to 94%, and in 2017-2018 has declined again. Every three of the four
incidents occur due to communication disorders and difficulties in understanding between the pilot
and the air traffic controller (ATCO) [8].</p>
      <p>During the flight, the pilot and the ATCO are in constant interaction, in the process of which there
is a coordination of actions, planning of joint activities, division of functions, etc. [9].</p>
      <p>The process of interaction is classically considered as one that includes three components (Table
2). The interaction between the pilot and the ATCO can be defined as a professionally determined,
dynamic form of streamlining the activity of Air Navigation System (ANS) operators, which regulates
their functions and responsibilities and is manifested in purposeful interconnection, interaction,
understanding, and cooperation. Interaction can be carried out in the form of collaborative decision
making (CDM) by ANS operators based on the mutual exchange of useful information [10].</p>
      <p>In the course of research of the errors arising during the interaction of ATCO with pilots ten
typical types of errors are allocated and the frequency of their occurrence is defined [11]. The most
common errors are violations of the radio communications rules (26%) and contradictory flight
information (22%). Next are: wrong ATCO commands (10%); violation of interaction between
ATCO of adjacent zones (8%); lack of radio communication (8%); lack of radar control of the aircraft
(6%); failure of the crew to communicate with serviceable radio equipment (6%); no report about
aviation accident (6%); non-execution of ATCO commands (4%); fuzzy ATCO commands (4%)
(Figure 2).</p>
      <p>One of the approaches to increase the efficiency of CDM by ANS operators, especially in extreme
situations, is the introduction of Intelligent Decision Support Systems (ІDSS) [12–13].</p>
      <p>The purpose of the article is a presentation of the Intelligent System for Supporting Collaborative
Decision Making (ISSCDM) by the pilot/ATCO in the flight emergency (FE), which uses CDM
models based on an artificial neural network (ANN).
3. Conceptual model of Intelligent System for Supporting Collaborative
Decision Making by the pilot/air traffic controller in the flight emergency
In general, IDSS can be defined as an interactive computer system, designed to support various
activities of a specialist during decision making in poorly structured and unstructured problems, based
on the use of models and procedures for data and knowledge processing based on artificial
intelligence technologies [12–13].</p>
      <sec id="sec-2-1">
        <title>Socio-perceptual (Latin socialis – public + perception – perception) Interactive (Latin inter – between + activus – active)</title>
        <p>The main characteristics of modern IDSS are given in Figure 3.</p>
      </sec>
      <sec id="sec-2-2">
        <title>The essence of the component Active exchange of information between those who report it (communicator) and those who perceive it (recipient)</title>
        <p>The process of perception by communication
partners of each other and the establishment of
mutual understanding on this basis</p>
        <p>Different phenomena of interaction
• destination aerodrome and the total estimated elapsed time;
• alternate aerodromes;
• fuel supply;
• total number of people on board;
• emergency rescue equipment, etc.;
b) tactical and technical characteristics of the ACFT, describing its operational properties:
• wingspan;
• length of the ACFT;
• ACFT height;
• wing area;
• maximum roll angle;
• aerodynamic quality;
• mass of empty ACFT, normal take-off, maximum take-off;
• internal fuel;
• number and type of engines, power;
• maximum speed;
• cruising speed;
• vertical speed;
• flight range;
• practical flight ceiling;
• the runway length required for landing under standard conditions;
• the number of crew members, etc.</p>
        <p>Dynamic information about the ACFT includes monitoring data, obtained in the process of direct
observation of the ACFT:
• type of flight situation;
• state of the ACFT;
• height of the ACFT;
• coordinates of the ACFT;
• flight course of the ACFT;
• actual landing mass of the ACFT.</p>
        <p>The static information about the ATC zone and aerodromes includes the following data:
• scheme of air routes and location of navigation means;
• limits of reception-transfer of ATC;
• air navigation and airport fees;
• coordinates of aerodromes;
• heights of aerodromes;
• minimum of aerodromes for take-off/landing;
• landing approach schemes at aerodromes;
• number and type of runways at aerodromes (artificial or ground);
• runway length;
• runway landing angle;
• the slope of the runway;
• radio navigation, lighting, and emergency rescue equipment of aerodromes;
• availability of a handling service, customs service, border and migration control service at
aerodromes, etc.</p>
        <p>Dynamic information about the ATC area and aerodromes includes:
• air situation;
• prohibitions and restrictions on the airspace use;
• condition of radio navigation and lighting equipment (capacity or incapacity);
• condition of the runway (repair works, time of the release of the runway, coefficient of
adhesion, presence of snow, slush, water, ice, soil moisture and strength, snow strength);
• meteorological conditions on the route and at aerodromes (dangerous weather phenomena,
clouds, and visibility, atmospheric pressure, wind direction and strength, actual
temperature);
• the readiness of emergency services at aerodromes.</p>
        <p>The static information about ANS operators (pilot/ATCO) includes the following data:
• educational level;
• work experience in the specialty;
• specialist class, which is determined by the knowledge, skills, and abilities acquired during
training and professional activities;
• minimum of pilot-in-command for take-off/landing;
• experience of action in FE;
• individual-psychological characteristics (temperament, attention, perception, thinking,
imagination, nature, will, health, experience, memory);
• psychophysiological characteristics (time delay of reaction, neuromuscular delay, time for
decision making, emotional type, sociotype);
• socio-psychological characteristics (system of benefits under the influence of social,
economic, legal, political, moral factors).</p>
        <p>Dynamic information about ANS operators (pilot/ATCO) includes:
• composition of the ACFT crew;
• composition of the ATCO team.</p>
        <p>A conceptual model of ISSCDM by pilot/ATCO in the FE, which uses CDM models based on
ANN, was constructed (Figure 4).</p>
        <p>Flight
situation
n
tio Air situation
a
rm Flight prohibitions/
fon restrictions
iic Weather
am conditions
n
y Technical condition
D
of the aerodrome</p>
        <p>Operator
characteristics</p>
        <sec id="sec-2-2-1">
          <title>Model base</title>
          <p>ANN
Deterministic,
stochastic,
nonstochastic СDM
models</p>
          <p>Information І</p>
        </sec>
        <sec id="sec-2-2-2">
          <title>Database</title>
          <p>Static
information</p>
        </sec>
        <sec id="sec-2-2-3">
          <title>Knowledge base</title>
          <p>Expert
information
The pilot of the
manned aircraft
The pilot of an
unmanned</p>
          <p>aircraft</p>
          <p>ATCO</p>
        </sec>
        <sec id="sec-2-2-4">
          <title>ANS operators interface</title>
          <p>Analysis of Figure 4 allows drawing concluding the need to create databases of two types. The
first group includes databases, which are a stationary source of data – they are created before the start
of ISSCDM; to the second – a dynamic data source – databases, which are built by the system itself in
the processing of dynamic information about the ATCO, ATC zone and aerodromes, ANS operators
and further used by it.</p>
          <p>The first grope will include the following databases:
• static information on the ACFT;
• static information on the ATC zone and aerodromes;
• static information on ANS operators.</p>
          <p>The basis of the second group will be:
• dynamic information on the ACFT;
• dynamic information on the ATC zone and aerodromes;
• dynamic information on ANS operators.</p>
          <p>Based on the information received from ANS operators, it is possible to adjust the bases of data,
models, and knowledge.</p>
          <p>When creating a database, it is important to adhere to the principle of development, which is
caused by the specifics of the control object and external conditions – their dynamics. This should
affect both the choice of the software platform and the database structure.</p>
          <p>The algorithm of functioning of the ISSCDM prototype is given in Figure 5. When building
ISSCDM it is necessary to implement the basic concepts of information systems, such as interactivity,
power, accessibility, flexibility, reliability, robustness, and manageability [14–15].
4. Method of intelligent data processing in risk assessment of collaborative
decision making by the pilot and the air traffic controller in the flight
emergency based on an artificial neural network</p>
          <p>The main directions of Decision Support Systems intellectualization are the creation of expert and
neural network systems [16–17].</p>
          <p>The main disadvantage of expert systems is the possibility of their non-deterministic response when
small changes in the input data can lead to output results that differ significantly. Additional complexity
– even with similar input signals, the search for a solution can take place on different branches of the
decision tree, as a result of which the response time may vary depending on the depth of the search.
Expert systems can give only those results for which they have the appropriate logic. A wide variety of
symptoms leads to a "combinatorial explosion" [16]. Therefore, in tasks with a large number of factors
influencing decision making, all of which are actually impossible to cover by the rules, it is advisable to
use artificial neural network (ANN).</p>
          <p>Factors influencing
the pilot decision in</p>
          <p>the FE
Pilot actions</p>
          <p>Start</p>
          <p>Factors influencing
the ATCO decision</p>
          <p>in the FE</p>
          <p>ATCO actions</p>
          <p>Recommendation</p>
          <p>Recommendation</p>
          <p>Recommendation</p>
          <p>No
No
No</p>
          <p>Did technological
procedures perform</p>
          <p>timely?
Did technological
procedures perform</p>
          <p>correctly?
Did technological
procedures perform
coordinatly?</p>
          <p>Yes
Yes</p>
          <p>Yes
Execution of technological
procedures according to</p>
          <p>normative documents
Assessment of timeliness,
correctness, coordination
of operators’ decisions</p>
          <p>End</p>
          <p>No</p>
          <p>Recommendation
No
No</p>
          <p>Recommendation</p>
          <p>Recommendation</p>
          <p>Thus, the advantages of neural networks are their ability to train on examples, work in real-time,
deterministic behavior in time (the ability to work with data that were not included in the training
sample) and robustness (the ability to work with incomplete input data) [18–19], which determines the
choice of the ANN device to solve the problem of optimizing the interaction of the pilot and the ATCO
in the process of CDM in the FE.</p>
          <p>The structure of the method of intelligent data processing in the risk assessment of CDM by the
pilot and the ATCO in the FE based on ANN is presented in Figure 6.</p>
          <p>Data
selection</p>
          <p>Data
transformation</p>
          <p>Training</p>
          <p>data
Testing
data</p>
          <p>ANN
learning</p>
          <p>ANN
testing
Integration
ANN in
ISSCDM</p>
          <p>During operation, the ANN generates an output signal Y in accordance with the input signal X,
implementing some function z: Y = z(Х). If the network architecture is specified, then the type of
function z is determined by the values of synaptic weights w and network biases θ. Take for Z the set of
all possible functions z, that corresponds to given network architecture.</p>
          <p>Let a function r be the solution to some task. Y = r(Х), specified by pairs of inputs and outputs (Х1,
Y1), ..., (Хk, Yk), for which Yk = r(Хk), k = 1, ..., N. Е is an error function (quality functional), which
shows for each function z the degree of approximation to r.</p>
          <p>To solve the task with the help of ANN of the given architecture means to construct a function z ∈
Z, selecting the parameters of neurons (synaptic weights w and biases θ) so that the quality
functionality becomes the optimum for all pairs (Хk, Yk).</p>
          <p>Thus, the task of learning a neural network is determined by a set of five components: &lt;Х, Y, r, Z,
Е&gt;. Learning is to find the function z that is optimal for E. It looks like an iterative procedure, at each
step of which there is a reduction of error.</p>
          <p>Function E can look arbitrary. If a set of examples for learning and a means of calculating the error
function are selected, then learning ANN is reduced to the problem of multidimensional optimization,
to solve which the following methods can be used [17–19]:
• local optimization with the calculation of partial derivatives of the first order (gradient
descent method, methods with one- and two- dimensional optimization in the anti-gradient
direction, gradient approximation method);
• local optimization with the calculation of partial derivatives of the first and second order
(Newton, Gauss-Newton, Levenberg-Marquardt method, Quasi-Newton methods);
• stochastic optimization (random search, annealing simulation, Monte Carlo method);
• global optimization (search of values of variables on which the objective function
depends).</p>
          <p>Preference is given to the methods that can teach ANN in a small number of steps and require a
small number of additional variables, due to the limitation of computing resources (algorithms for
calculating partial derivatives and one-dimensional optimization).</p>
          <p>The training of ANN, in this case, is the result of its operation, rather than the prior filling of
human knowledge, as in the case of the use of expert systems.</p>
          <p>For learning ANN with the teacher the procedure of error backpropagation was chosen [17], the
essence of which is to propagate the error from the network outputs to the inputs in the direction
opposite to the propagation of signals.</p>
          <p>
            A nonlinear sigmoid activation function was used for ANN training (
            <xref ref-type="bibr" rid="ref1">1</xref>
            ):
          </p>
          <p>
            1
f ( x ) =
1 + e−ax
,
(
            <xref ref-type="bibr" rid="ref1">1</xref>
            )
where a &gt; 0.
          </p>
          <p>
            The output fields for network learning were estimated by the method of the least squares with
backlash when the minimizing objective function of the ANN error is the value (
            <xref ref-type="bibr" rid="ref2">2</xref>
            ):
i
δ = ∑ P( Yi' − Yi ) ,
ε
(
            <xref ref-type="bibr" rid="ref2">2</xref>
            )
( ∆ − 1 )2 , if ∆ ≥ 1,
where P( ∆ ) = 
          </p>
          <p> 0, if ∆ &lt; 1;</p>
          <p>Yі’ and Yі – respectively, are the output according to the training sample (desired) and the actual
output ANN;</p>
          <p>ε – is a backlash, which can vary from zero to the limit of the range of changes in the values of the
output field. The network has learned to predict the values of this field with an accuracy of ±5% of the
range of risk value changes, which fully satisfies the task statement.</p>
          <p>To learn ANN the gradient descent algorithm with perturbation was used, which allows to
overcome local inequalities of the error surface and not to stop at local minima. ANN learning
algorithm:</p>
          <p>Step 1. Initialization of weights.</p>
          <p>Weights w(k)ij in all layers are set randomly in the interval [0-1].</p>
          <p>Step 2. Representation of the new input vector X and the corresponding desired output vector Y’.
Step 3. Direct passage: calculation of the actual output.</p>
          <p>
            Output Y(k)i for the i-th neuron in the k-th hidden layer, k = 1, …, K та Yi in the output layer is
calculated by formulas (
            <xref ref-type="bibr" rid="ref3">3</xref>
            )-(
            <xref ref-type="bibr" rid="ref4">4</xref>
            ):
          </p>
          <p>
            Yi( k ) = fδ  wi(0k ) + Hj∑k=−11 wi(jk )Y j( k −1 ) , k = 1, …, K, where Y j( 0 ) = X j ; (
            <xref ref-type="bibr" rid="ref3">3</xref>
            )

Yi = fδ  wi0 + Hj∑=k1wi(jk +1 )Y j( k ) , k = 1, …, K, where Y j( 0 ) = X j ,
          </p>
          <p>
where Hk – is the number of neurons in the k-th hidden layer.</p>
          <p>Step 4. Feed passage: adaptation weights and thresholds.</p>
          <p>Use a recursive algorithm that starts at the input layer and returns to the first hidden layer (5):
wi(jk )( t + 1 ) = wi(jk )( t ) +ηδ i( k )Y j( k −1 ) , k = 1, …, K,
where η – is the rate of speed training, 0&lt;η&lt;1.</p>
          <p>For k = k + 1 member δ ik is known, it describes error (6) and can be calculated for all other cases
(7):</p>
          <p>δ i( k +1 ) = ( Yi' − Yi )Yi ( 1 − Yi ) ;
δ i( k ) = Yi( k )( 1 − Yi( k ) )∑δ (j k +1 )w(jik +1 ) , k = 1, …, K,</p>
          <p>j
where Yi( k )( 1 − Yi( k ) ) – is the derivative of the sigmoidal function relative to its argument.
Step 5. Repetition from step 2.</p>
          <p>The output vector (result) will depend on the type of flight situation, as well as on the coherency of
the actions of the pilot and the ATCO during performing the technological procedures for parrying the
FE. The best variant of CDM by ANS operators in the FE is selected based on minimizing the
potential risk (8):</p>
          <p>Yopt = min{rl }.</p>
          <p>
            To assess the risk of CDM by the pilot and the ATCO in the FE a four-layer (two layers are
hidden) recurrent neural network with biases was developed [20–21] (Figure 7). Multilayer ANN can
approximate any functional dependence due to hidden layers of neurons and is capable of learning.
The dynamics of recurrent networks is a very important property for a complex socio-technical ANS,
as feedback changes the inputs of neurons, which leads to a change in the state of ANN [20–21].
(
            <xref ref-type="bibr" rid="ref4">4</xref>
            )
(5)
(6)
(7)
(8)
θSk
θTj
r1
s1
t1
u1
…
…
…
…
Input
rl
sk
ui
wkl
wjk
wij
4 layer (output) – the risk
          </p>
          <p>assessment of FE
3 layer (hidden) – the normative</p>
          <p>sequence of technological
procedures for FE parrying
tj ti2mleayoefrte(hcihdndoelno)gi–cathleprsotacneddaurrdes</p>
          <p>for FE parrying
1 layer (input) – the losses in</p>
          <p>FE
The following output signals of vectors of ANN layers are set T , S , R (12):</p>
          <p> 1; if f ( wijui −θ j ), f ( w jk t j −θ k ), f ( wkl sk ) &gt; 0
T ,S ,R = 
0; if f ( wijui −θ j ), f ( w jk t j −θ k ), f ( wkl sk ) ≤ 0
where f – is a nonlinear activation function.</p>
          <p>Using the neuroemulator NeuroSolutions version 7.1.1.1 (development of NeuroDimension, Inc.)
on the example of FE "Failure and fire of the engine on the aircraft when climbing after take-off" the
multilayer feedforward perceptron with biases was built and trained with the teacher by the procedure
of the error backpropagation (Figure 8).
Consider the ANN model in Figure 7.</p>
          <p>The first layer (input) – corresponds to the losses in the FE depending on the type of flight
situation ( U ). The second layer (hidden) – the standard time to perform technological procedures for
FE parrying ( T ). The third layer (hidden) – the normative sequence of technological procedures for
FE parrying ( S ). The fourth layer (output) – the risk assessment of FE ( R ). Additional input bias θ
characterizes the interaction of ANS operators.</p>
          <p>Output vectors of the second, third, fourth layers (9)-(11):</p>
          <p>T = f ( W 1 ,U −θ
S = f ( W 2 ,T −θ
R = f ( W 3 ,S ) ,</p>
          <p>T
S
) ,
) ,
of technological procedures for FE parrying: W 1 = {wij };
of technological procedures for FE parrying: W 2 = {w jk };
where W 1 – are the weights that take into account the probability of violation of the standard time
W 2 – are the weights that take into account the probability of violation of the normative sequence
W 3 – are the weights that take into account the probability of complicating the flight situation (for
example, engine failure can lead to a fire): W 3 = {wkl };</p>
          <p>T
θ</p>
          <p>, θ
for FE parrying at joint coordinated actions of ANS operators: θ</p>
          <p>S – are the biases of indicators of timeliness and correctness of technological procedures
T = {θ Tj }; θ S = {θ kS }.</p>
          <p>(9)
(10)
(11)
(12)
license.</p>
          <p>Input vector-matrix ANN U :
u1  10
u2   0
U = u3  =  0
  
u4   0
u5   0
Weights of the first layer ANN W 1 :</p>
          <p>W 1 = w31
w11

w21
w41
w51
 u1  w11
  
 u2  w21
T = f  u3  × w31
   
 u4  w41
 u5  w51
The output vector of the second layer ANN Т :</p>
          <p>w1 j ... wi21</p>
          <p>The weights of the second layer ANN W 2 :</p>
          <p>NeuroSolutions 7 is an easy-to-use software package for designing and modeling neural networks
in a Windows environment. It combines a modular icon-based network design interface with the
implementation of advanced artificial intelligence and learning algorithms using intuitive wizards or
an easy-to-use Excel interface. Neuroemulator NeuroSolutions has shown the greatest flexibility in
the synthesis and reconfiguration of complex control systems according to the following criteria: ease
of creating and learning ANN, intuitive interface; ease of preparation of the training sample; clarity
and completeness of information presentation in the process of creating and training ANN; the
number of standard neural paradigms, criteria, and algorithms for learning ANN; the ability to create
original neural structures; the possibility of using original optimization criteria and algorithms for
learning neural networks; the possibility of software extensions of the neuropackage; the cost of the
30
0
0
0
0
0
0
0
0
50
...
...
wij
...
...
...
wij
...
...</p>
          <p>0
0
0
80
0
wi21
wi21
wi21
wi21
wi21
wi21
wi21
wi21
wi21
w1 j
w2 j
w3 j
w4 j
w5 j
w2 j
w3 j
w4 j
w5 j
0  1 0 0 0
0  0 1 0 0
0  = 0 0 1 0
0  0 0 0 1
100  0 0 0 0
0 
0 
0  .</p>
          <p>
0 
1 
ww122222  
www345222222  × [−θ1 −θ 2 ... −θ j ... −θ 22 ]  .
w2 j
...
w21 j
...
w jk
...</p>
          <p>...
...
w2l
...
w21l
w22l
ww122222  </p>
          <p>...  × [−θ1 −θ 2 ... −θ k ... −θ 22 ]  .
w2122  
w2222  
...
u5=100 points.</p>
          <p>According to the matrix of risk indicators ІСАО [25], which takes into account the severity and
probability of possible consequences, based on the theory of fuzzy sets with the use of linguistic
variables, the scale of acceptability (acceptability) of risk rl was determined [26]: negligible risk r1=20
points; minor risk r2=40 points; major risk r3=60 points; hazardous risk r4=80 points and catastrophic
risk r5=100 points. To ensure a sufficient level of flight safety, the risk indicators must not exceed 60
points, which is taken as the maximum allowable value of the level of danger.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>5. Results</title>
      <p>The input, intermediate, and output components of the ANN are set according to statistics for the
previous 10-year period [7], additional inputs – biases are conditionally accepted as equal to one at
the coordinated actions of ANS operators according to a certain technological procedure and equal to
zero – at their uncoordinated actions. Since the number of samples for training must be at least 10
times the number of connections in ANN [17–19], then to assess the risk of CDM by the pilot/ATCO
in the FE were prepared 5x22x10 = 1100 samples. ANN learning was performed by modifying the
weights between neurons until the error reached a minimum and ceased to decrease. In our case, 1000
cycles of training were sufficient; ANN training time was 5.56 minutes (about 3 sec for each epoch).</p>
      <p>Testing of ANN on examples that were not included in the training sample showed high accuracy
in the risk determining (error Δ between the actual and obtained through the neural network
assessment of the potential risk is not more than 3% from the range of changes in its values), which
confirms the reliability of the proposed model.</p>
    </sec>
    <sec id="sec-4">
      <title>6. Conclusion</title>
      <p>Research has shown, that СDM by the pilot/ATCO in the FE requires from ANS operators the
analysis of significant amounts of diverse information. For comprehensive accounting of the factors
influencing the CDM process by the pilot/ATCO in the FE, a conceptual model of the adaptive
ISSCDM, which considers dynamic, static, and expert information about the state of the control
object (ACFT), environment (characteristics of ATC zone and aerodromes), and ANS operators
(characteristics of the pilot/ATCO), was built. ISSCDM by the pilot/ATCO in the FE uses CDM
models based on ANN.</p>
      <p>For assessing the risk of CDM by the pilot and air traffic controller in the FE, a four-layer
recurrent neural network with additional inputs – biases was developed: the first layer (input) – the
losses in the FE depending on the flight situation; the second layer (hidden) – the normative time of
technological procedures for FE parrying; the third layer (hidden) – the normative sequence of
technological procedures for FE parrying; the fourth layer (output) – the risk assessment in FE. The
developed neural network model due to the biases makes it possible to take into account the
interaction between the pilot and air traffic controller when performing technological procedures on
FE parrying and with the help of feedback to correct the predicted CDM risk assessment based on
dynamic data about compliance by the operators’ coordinated standards of time and normative
sequences of actions.</p>
      <p>With the help of NeuroSolutions neuroemulator (version 7.1.1.1) on the example of FE "Failure
and fire of the engine on the aircraft when climbing after take-off" the multilayer feedforward
perceptron with biases was built and trained with the teacher by the procedure of the error
backpropagation. To learn ANN the gradient descent algorithm with perturbation was used, which
allows to overcome local inequalities of the error surface and not to stop at local minima. The
reliability of the proposed ANN model was confirmed by testing on examples that were not included
in the training sample: error between the actual and obtained through the neural network assessment
of the potential risk is not more than 3% from the range of changes in its values.</p>
      <p>It is recommended to use ISSCDM in the process of joint training of the pilots and ATCO for
CDM in FE, which will increase situational awareness of ANS operators, create a unified flight image
to develop skills of active air surveillance, predict the development of the flight situation and timely
warning flight situation deterioration due to the improvement of the pilot-ATCO technological
interaction.</p>
    </sec>
    <sec id="sec-5">
      <title>7. References</title>
      <p>[5] M. Friedman, E. Carterette, E. Wiener, D. Nagel (Eds.), Human factors in aviation, 1st еd.,</p>
      <p>Academic Press, Cambridge, Massachusetts, USA, 2014.
[6] J. A. Wise, V. D. Hopkin, D. J. Garland (Eds.), Handbook of aviation human factors, 2nd ed.,</p>
      <p>CRC Press, Florida, USA, 2016. doi:10.1201/b10401.
[7] Official website of the Interstate Aviation Committee (IAC). Safety reports, 2020. URL:
https://www.mak-iac.org/rassledovaniya/bezopasnost-poletov/.
[8] Manual on the Implementation of ICAO Language Proficiency Requirements, Doc.
9835</p>
      <p>AN/453, ICAO, Montreal, Canada, 2004.
[9] A. A. Dranko, Formation of professional interrelationships of the future pilots of civil aviation in
the process of ground-based practical training, Ph.D. thesis, Kropyvnytskyi, Classical Private
University, 2018.
[10] Manual on Collaborative Decision-Making (CDM), Doc. 9971, 2nd ed., ICAO, Montreal,</p>
      <p>Canada, 2014.
[11] Data Report for Evidence-Based Training, 1st ed., International Air Transport Association,</p>
      <p>Montreal, Geneva, Canada, 2014.
[12] A. Kaklauskas, Introduction to Intelligent Decision Support Systems, chapter, in: A. Kaklauskas
(Ed.), Biometric and Intelligent Decision Making Support, IGI Global Publ., Hershey, USA,
2015, pp. 1–29.
[13] International Journal of Decision Support System Technology (IJDSST), P. Zaraté (Ed.),</p>
      <p>Toulouse University, France, 2020.
[14] Systems and software engineering – System life cycle processes, ISO/IEC 15288:2015, Software
&amp; Systems Engineering Standards Committee, 2015.
[15] Systems and software engineering – Vocabulary, ISO/IEC/IEEE 24765:2017, Software &amp;</p>
      <p>Systems Engineering Standards Committee, 2017.
[16] D. Ryan (Ed.), Expert systems: design, applications and technology, Nova Science Publishers,</p>
      <p>New York, U.S., 2019.
[17] S. Shanmuganathan, S. Samarasinghe (Eds.), Artificial neural network modelling, Springer</p>
      <p>International Publishing, Switzerland, 2016. doi:10.1007/978-3-319-28495-8.
[18] S. Kumar, Neural networks – a classroom approach, 2nd ed., McGraw Hill Education, New</p>
      <p>York, U.S., 2017.
[19] I. N. da Silva, D. H. Spatti, R. A. Flauzino, L. H. Bartocci Liboni, S. F. dos Reis Alves, Artificial
neural networks: A practical course, Springer International Publishing, Switzerland, 2017.
doi:10.1007/978-3-319-43162-8.
[20] М. Kasatkin, Yu. Sikirda, T. Shmelova, Network analysis of collaborative decision making by
Air Navigation System's human-operators during emergency cases in flight, Proceedings of the
National Aviation University, 1 (78), 2019. pp. 22–35. doi: 10.18372/2306-1472.1.13652.
[21] Yu. Sikirda, M. Kasatkin, D. Tkachenko, Intelligent automated system for supporting the
collaborative decision making by operators of the Air Navigation System during flight
emergencies: chapter 3, in: T. Shmelova, Yu. Sikirda, A. Sterenharz (Eds.), Handbook of
research on artificial intelligence applications in the aviation and aerospace industries, IGI
Global book series Advances in Mechatronics and Mechanical Engineering (AMME), IGI Global
Publ., Hershey, USA, 2020, pp. 66-90. doi:10.4018/978-1-7998-1415-3.ch003.
[22] M. Voskoglou (Ed.), Fuzzy sets, Fuzzy logic and their applications, Mdpi AG, Basel,</p>
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[23] A. K. Bhargava, Fuzzy set theory, fuzzy logic and their applications, S. Chand Publishing, New</p>
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[24] C. Mohan, An introduction to fuzzy set theory and fuzzy logic, MV Learning, London, UK,
2019.
[25] Safety Management Manual (SMM), Doc. 9859-AN 474, 3rd ed., ICAO, Montreal, Canada,
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[26] T. Shmelova, Yu. Sikirda, N. Rizun, A.-B. M. Salem, Yu. Kovalyov (Eds.), Socio-Technical
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