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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Application of MCDA Methods in Solving Safety Problems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Judyta Ciemcioch</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>AGH University of Science and Technology Kraków</institution>
          <country country="PL">Poland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Multiple-criteria decision analysis (MCDA) is a constantly developing tool that allows for a quick assessment of the quality of solution options, also in the case when the assessment criteria are difficult to measure. Therefore, they are used in more and more fields. One of them is broadly understood security. The paper describes the specificity of the assessment of issues related to safety and solved with the use of MCDA methods. At the same time, the focus was on two areas of security. The first is Occupational Health and Safety, and in particular the issue of risk assessment of workplaces, the second is Data Security. The issues related to risk assessment in the workplace are traditionally examined mainly using the FMEA method. The problem is that the values that need to be entered into this method are usually only determined on the basis of expert knowledge. In complex systems this is a difficult task and often causes important cases to be missed. MCDA methods allow for an analytical approach to the problem of finding critical cases and facilitate their assessment. Data security is an increasingly important topic in today's world. It ceases to be the domain of information protection only, but due to the fact that the "Internet of Things" is developing more and more, it also affects direct physical security. MCDA methods help in assessing the security of data in systems and in identifying gaps and weaknesses. The paper presents methods that can be used in these cases and examples of their application.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Safety</kwd>
        <kwd>Security</kwd>
        <kwd>MCDA</kwd>
        <kwd>DEMATEL</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Security is one of the key issues in the relevant
world. Therefore, there is a need for continuous
development of methods to improve it.
Occupational Health and Safety is a place where
law is still needed. Although there has been a
decline in the number of accidents at work in
Poland for several years, there is still room for
improvement. In particular, the number of serious
accidents remains relatively high, including fatal
accidents. Another place where you should focus
on improving security is data protection. There are
two things in this area. One of the sequences that
increment in terms of draft conformance that
conforms to the policy. It improves to the resource
requirements needed for error checking. The
second problem is that organizations often miss
out on security threats. Responsibility for its
provision results from employees with a purely
technical and IT education, who focus only on the
technical aspect of security, ignoring aspects
related to management or work organization. It
should be remembered that in smaller
organizations, the main users of these methods
will often be people specializing in other issues in
the enterprise, and dealing with issues related to
security for a small part of their time. As a result,
the methods used in these issues must be easy to
use. This is one of the reasons why the Risc Score
method is a major tool in this field. Therefore, the
authors decided to use it as one of the foundations
for the creation of a combined method, allowing
for a better safety assessment. It was decided to
try to eliminate one of the key limitations of this
method, which is local operation. When an
element of the system, such as a workplace, for
example, is analyzed with the Risc Score method,
the analysis is purely local. This means that if the
causes of problems to some extent lie outside a
given element of the system, then in the case of
these problems their real causes are not analyzed,
but only local symptoms, and only an attempt is
made to combat them. As a result, funds for
improving the situation are not applied optimally,
wasting them through applications not in the place
of problems, but in every place where the effects
of these problems occur, which in the case of
complex networks of dependencies may cause
that we have to spend much more on minimizing
the effects, or accept that some places are not
properly secured. However, there are methods
that allow the identification of the real places
where problems arise. One such method is
Decision Making Trial and Evaluation Laboratory
(DEMATEL). It allows you to assess which
system components are causing the problems and
where the problems are mainly caused by external
influences. Therefore, the authors propose to use
the combined Risk Score and DEMATEL
methods in order to more effectively deter-mine
where in the system measures should be applied
to more effectively improve safety.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Applied metods</title>
      <p>This article uses two basic methods from the
Multiple-criteria decision analysis (MCDA)
category. MCDA methods are heuristic methods
that focus on prioritizing given events or criteria
according to several keys that are difficult to
define or com-pare using quantitative methods
2.1.</p>
    </sec>
    <sec id="sec-3">
      <title>Risc Score</title>
      <p>This method, developed by William Fin in
1971, is a qualitative method of risk assessment in
the workplace. It consists in selecting potential
hazardous events and then assigning them
contractual values in three categories: probability
of occurrence, exposure and potential
consequences. The values are within the same
range, most often it is from 1 to 10, and they
increase with increasing risk. Their product
determines the risk index (Table 1). Events are
segregated according to the risk index, from the
highest, which means the event that potentially
causes the most severe consequences, to the event
with the lowest value, which means the event that
has the lowest potential for serious consequences.</p>
      <p>A common procedure is to define an arbitrary
limit of the risk indicator below which we treat
given events as harmless. In this case, we try to
reduce the values of probability, exposure and
effects by means of remedial measures, reducing
the value of the risk indicator until the result is
below the limit we set. This relatively simple
method is now an essential tool in workplace
safety research. Its main limitation is that it does
not refer to the causes of events in any way,
focusing on their effects. What's more, in its
typical application, each workplace is tested
separately, and re-medial measures are also
introduced individually. This creates the problem
that only if the cause of an incident is in the same
position as its effect can the remedial measures be
influenced. Otherwise, we are only influencing
the local symptoms of an event that actually
happened elsewhere. This results in unnecessary
duplication of efforts if an event causes more than
one effect in different positions, reduces the
effectiveness of remedial measures because they
are a reaction to an event occurring elsewhere in
the system than are used.</p>
      <p>A method developed by Emilio Fontel and
André Gabus. It was created for the purpose of
determining the cause and effect relationships
between global and regional economic, social and
economic problems. It also turned out to be useful
in the study and analysis of many aspects of
various practical tasks in such areas as: Product
and service shaping, enterprise management,
information and knowledge, projects, hu-man
resources and technology, marketing,
construction and environmental engineering,
renovation and municipal management, and
economy real estate, transport and logistics,
energy and public safety, education, information
systems, medicine, innovation support, finance,
banking and insurance.</p>
      <p>The DEMATEL method consists in creating a
total impact matrix that defines the influence of
the examined elements on each other and the
cause-effect character of this influence. For this
purpose, a matrix of direct relationships is initially
created. It consists in determining to what extent
each two elements influence each other, assuming
that the element has no influence on itself
(formula 1).</p>
      <p>0</p>
      <p>
        12  13 ⋯  1
 21 0  23 ⋯  2
 31  32 0 ⋯  3 (
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
      </p>
      <p>⋮ ⋮ ⋮ ⋱ ⋮
(   1   2   3 ⋯ 0 )</p>
      <p>The strength of connections between the
elements is defined on an arbitrary scale, usually
from 0 - no influence, 1 - little influence, up to 4
very strong influence. Then we transform this
matrix into the matrix of indirect connections and
further into the matrix of total connections T by
appropriate for the method of operation
(Mirosław Dytczak, Grzegorz Ginda 2015).
Based on this matrix, we determine the S + and
Sindices for each element using appropriate row
and column sums. The S + indicator, also denoted
as D + R, is called prominence. It determines the
strength of an element's interaction with other
elements. The S- indicator, also known as D-R, is
called a relation. It defines the nature of the
influence of this element, for S-&gt; 0 it is the causal
character, and for S- &lt;0 it is the effect character.</p>
      <p>The DEMATEL method is often used in
conjunction with other MCDA methods, such as
AHP or TOPSIS. In many places, research is
being carried out on the most effective
combinations for various applications, including
the use in safety research [Ahmed, S.K, Kabir, G
2020] [Li F 2019]</p>
      <p>As you can see the DEMATEL method has
interesting possibilities of complex analysis.
Thanks to it, we can try to determine which of the
events are causes and which are effects. This gives
a unique opportunity to implement remedial
measures where problems arise, and not where the
effect is only visible.</p>
    </sec>
    <sec id="sec-4">
      <title>3. Problems</title>
    </sec>
    <sec id="sec-5">
      <title>3.1. Specificity of OHS problems</title>
      <p>Risk determination in the workplace has a long
history of using MCDA methods. The Risk Score
method is deeply rooted in this field and is today
the basic research tool. The problem today is that
due to its popularity, there is little interest in other
methods outside the scientific world. This is
mainly due to the fact that most of the other
proposals use entirely new methods. This causes
that people who prepare such assessments are
afraid to use something that is foreign to them, and
what seems unchecked to them. It should be
remembered that in most enterprises, for people
dealing with health and safety in the plant, it is a
secondary function compared to other duties, or
they are people hired from outside. As a result, the
new method of safety assessment in this field must
be both relatively easy to carry out and must use
data that is relatively easy to obtain by means of
simple questions to employees. Hence the authors'
proposal that he should use the combination of the
Risk Score method, which is well known with the
DEMATEL method, for which the data is easy to
obtain by means of simple questions ("how do you
assess to what extent the work of position X
affects the work of your position"), and the
computational part of which is it can be easily
implemented in a worksheet such as "EXEL".
Thanks to this, the new method does not require
new skills from the assessor, and there are no
problems with the analysis of the results, as it is
analogous to the Risk Score.
3.2.</p>
    </sec>
    <sec id="sec-6">
      <title>Issues</title>
    </sec>
    <sec id="sec-7">
      <title>Specificity of</title>
    </sec>
    <sec id="sec-8">
      <title>Data</title>
    </sec>
    <sec id="sec-9">
      <title>Security</title>
      <p>The main problem in today's approach to data
security analysis is the fact that most institutions
focus only on the technical aspect of data security.
This is due to several reasons. The first is that it is
customary in many organizations that IT
employees are responsible for data security.
Therefore, the first step in securing data for them
is to assess the technical aspect of data security.
Meanwhile, experience shows that most of the
incidents which resulted in serious data leaks have
non-technical reasons. As a result, purely
technical security measures are not fully effective.
Another problem with technical security measures
is that their operation reduces the efficiency of
access to data by authorized users. Therefore, it is
necessary to take a more general look at data
security analysis. This has already been
recognized by the institutions most dependent on
data security, such as banks and defense
institutions. However, the actions taken by them
are mainly based on the knowledge and intuition
of people responsible for security, and not on
systematic research. The reason for this is the lack
of appropriate simple test methods to compare the
technical issues with those related to the personal
aspect of data protection. The methods from the
MCDA group seem to be the answer to this
problem, due to their flexibility and ease of use.
The Risc Score and DEMATEL methods in
particular seem to fit the problem. In the case of
the Risc Score method, its main advantage is that
it is a method known in every organization due to
its application in job research. This means that
there are already people trained in using it in each
organization. Meanwhile, the DEMATEL method
brings a unique opportunity to assess what is the
cause and what the effect in a chain of events that
may lead to a data leak. It can include events
related to the technical aspect of data security as
well as to the "human factor". At the same time,
the computational part of the method is easy to
implement in a typical spreadsheet, which reduces
the requirements for the person who carries out
the test. Also, the fact that the majority of data
storage installations today has a network structure
predisposes this method, because it has been
successfully used many times in the safety
assessment of installations such as electrical
networks [Li P 2019], supply lines or pipelines.</p>
      <p>After this modification, the risk value reflects
not only the severity of the consequences of an
event at a given position, but also the impact of
the event on the emergence of other hazardous
situations. Thanks to this, if we are guided in the
allocation of funds for improving the situation by
the ranking of the risk indicator, then in the first
place the funds are allocated to events that not
only have serious effects in a given location, as it
was in the pure Risk Score analysis, but also those
that cause other events in other locations. Thanks
to this, if we manage to reduce the risk of events
with a high rate, the risk of some events with
lower rates that are directly or indirectly related to
each other also reduces. As a result, the resources
that we spend on improving the situation have a
greater impact on the overall security in the
organization.</p>
    </sec>
    <sec id="sec-10">
      <title>4. Combined</title>
    </sec>
    <sec id="sec-11">
      <title>DEMATEL</title>
    </sec>
    <sec id="sec-12">
      <title>Risc</title>
    </sec>
    <sec id="sec-13">
      <title>Score and</title>
      <p>The authors' proposal is to use a method
combining the Risk Score and DEMATEL
methods in the field of safety research. The aim is
to use the potential of the well-known and widely
used Risk Score method, while introducing the
possibility of a systemic approach and conducting
activities at the source of problems. Such
possibilities are provided by the DEMATEL method.
For this purpose, we introduce two further
indicators to the Risk Score method, derived from
the results of the DEMATEL method. The first is
the transformed S + index and the second is the
transformed S- index. The transformation consists
in bringing the values of these indicators to the
same range of values as the other indicators in the
Risk Score method, i.e. most often to the range
(0.10&gt;. This can be easily done using the min-max
normalization (formula 2)</p>
      <p>
        − 
 ∗ =  −  ∗ (
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
∗ ( _ max −  _min) +  _
      </p>
      <p>When this is applied, a modified table is
produced (Table 2).</p>
      <sec id="sec-13-1">
        <title>Potential effect</title>
        <p>PE1
PE2
PE3
PE4
S*+
S*+1
S*+2
S*+3
S*+4
S*S*-1
S*-2
S*-3
S*-4</p>
      </sec>
      <sec id="sec-13-2">
        <title>Risc Score</title>
        <p>P1*E1*PE1* S*+1* S*-1
P2*E2*PE2* S*+2* S*-2
P3*E3*PE3* S*+3* S*-3
P4*E4*PE4* S*+4* S*-4
5. Conclusions</p>
        <p>they do not have an accessible set of tools to
solve them. It is particularly visible in the
activities of smaller organizations that are not able
to maintain specialized departments dealing with
security that employ specialists. This causes
various negative phenomena. In terms of health
and safety, the main problem is that only the Risk
Score method is used, regardless of its limitations.
This results in a phenomenon in which health and
safety problems are solved only by introducing
protection against accidents, without going into
what is the real reason for their occurrence. This
re-duces both their effectiveness and results in
ineffective spending of funds on im-proving the
situation. A similar phenomenon can be observed
in the field of data security. Here, it is partly due
to the narrow view of people dealing with this
subject, resulting from the fact that most of them
deal only with the technical aspect of data
security, and the fact that there are no easy and
widely known methods of assessing this security
in its entirety. The authors believe that the answer
to this problem may be the MCDA methods, in
particular the Risk Score method combined with
the DEMATEL method. This is possible thanks to
the relatively good knowledge of the Risk Score
method in the environment of people responsible
for risk assessment in the workplace, the ease of
obtaining data needed for the analysis and the
relative simplicity, combined with the possibility
of implementing the method using soft-ware
available in most offices. Therefore, the authors
believe that there is room for further research
here.</p>
      </sec>
    </sec>
    <sec id="sec-14">
      <title>6. References</title>
    </sec>
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