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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Estimation Method of Information System Functioning Quality Based on the Fuzzy Logic</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Ternopil National Economic University</institution>
          ,
          <addr-line>Ternopil</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>In the article the analysis of modern researches of information systems is carried out, their basic components and the characteristics influencing their functioning are allocated. Monitoring the activities of service personnel in the supporting part of the system allows identifying and taking into account the shortcomings of the design or system operation in order to achieve a sufficient level of its functioning quality. A fuzzy system for the impact evaluating of the reliability of the information system supporting part on the operation quality is proposed. The input variables of this system are the level of qualification, workload of service personnel and the reliability of the system technical support, and the output - the quality of the information system functioning. Analysis of the modelling and simulation results of this fuzzy system have confirmed its effectiveness and efficiency.</p>
      </abstract>
      <kwd-group>
        <kwd>information system</kwd>
        <kwd>quality of information system functioning</kwd>
        <kwd>service personnel</kwd>
        <kwd>fuzzy logic</kwd>
        <kwd>Mamdani fuzzy inference</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>The existence of modern society is impossible without information systems (IS) that
comprehensively automate technological processes and functions.</p>
      <p>The current stage of information control systems development, that implement
information technology, is characterized by increased requirements for ensuring its
functioning quality. However, despite the intensive development and implementation of
modern technologies and methods used in the information control systems designing,
in this area there are still unresolved challenges and problems.</p>
      <p>IS quality assurance and improvement are a complex problems, the solution of which
has many directions. One of them is the monitoring of service personnel in the support
part of the system, the results of which allow to identify and take into account the
shortcomings of the system design or operation in order to achieve a sufficient level of IS
functioning quality.</p>
      <p>Thus, the development of estimation methods for the impact of service personnel on
the quality of information systems is relevant.</p>
    </sec>
    <sec id="sec-2">
      <title>Related Works</title>
      <p>Analysis of modern information systems shows their widespread use. Researchers are
constantly developing new methods and approaches to building such systems.</p>
      <p>
        With the help of information systems, successful applications are achieved. For
example, in the steel industry [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], in climate control systems [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], as well as in the
development of information systems for processing biomedical data [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ] and others [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. In
particular, the authors emphasize the good results in obtaining biomedical signals with
fuzzy logic and the possibility of improving the results using the technique of artificial
neural networks [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>
        The main features of the control objects are several, including high requirements for
the maintenance of technological modes and changes in the basic operating parameters
of the control object in its actual operation. In such systems, some authors suggest the
use of neural networks [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. Using developed in [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] information system for dye drying
process based on neural network increased overall productivity by 5%. However, neural
networks have problem with input learning data, so they cannot be implement in many
areas.
      </p>
      <p>
        Nowadays information systems of fuzzy relations have become widespread. Modern
information and measurement systems must operate in conditions of uncertainty for
various reasons. Uncertainty measurement is a critical estimation tool. The concept of
information structures in the information system of fuzzy relations is described by
means of the set vectors that allows investigating of the basic characteristics of such
system [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>
        The basis of modern methods of designing or managing information systems are
methods of artificial intelligence. One of the promising areas is the use of fuzzy logic
methods. For example in the article [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] author provides a system of fuzzy rules of
production, that describing the logic of the operational-consulting system of experts.
Article [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] is devoted to situational management of complex information systems
using fuzzy models of correspondence. The authors also described the advantages of such
model and approach to solving applied problems.
      </p>
      <p>
        This approach is also applicable to other information systems, in which a fuzzy
relationship is used to describe the degree of objects similarity [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
      <p>
        One of the promising approaches to solving the problem of evaluation and selection
of investment projects is based on the intelligent information systems introduction.
Authors [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] developed a such system for the selection of investment projects based on
Mamdani fuzzy inference, which gave good practical results.
      </p>
      <p>
        The validity of the use of artificial intelligence methods is demonstrated by
modelling and experimental results in [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ].
      </p>
      <p>Thus, the application of fuzzy logic methods allows developing productive and
viable information systems.</p>
      <p>
        Today, many studies of the information system success, but only a few studies that
have focused on human impact on the success of the information system [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
      </p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] authors developed a method of fuzzy estimation of the information system,
which has part of the impact on the functioning quality. It is based on a fuzzy system,
the input data of which is the state of reliability for software, hardware and information
support, and the output - the quality of the system. In [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] the approach to measurement
of the general estimation of the information system efficiency, which is exposed to
negative external influences is offered.
      </p>
      <p>Some authors identify the main characteristics of the information system quality,
such as working time and the importance of performing a particular action [18]. This is
the basis of the information system, but the authors did not take into account the human
impact on the functioning quality.</p>
      <p>Authors of [19] conducted a systematic review of the literature and concluded that
there are five critical success factors in the development of information system projects:
people, project, organization, knowledge and experience. The paper presents the results
of the presentation of linguistic variables: "Importance of work" and "Working time",
which are the basis of modules for data entry and processing in information systems for
analysis and evaluation of professional activity.</p>
      <p>Therefore, to analyse the quality of the information system, it is necessary to take
into account the main characteristics of system reliability, in particular hardware or
software, as well as the human factor, which is not clearly defined. Therefore, to solve
this problem it is better to use fuzzy logic methods that shows bellow.
3
3.1</p>
    </sec>
    <sec id="sec-3">
      <title>Methods and Materials</title>
      <sec id="sec-3-1">
        <title>Information System Frame</title>
        <p>The quality of the information system is the completeness of the properties and
characteristics of this system, which provide the ability to meet the stated or probable needs
[20]. The reliability of the IS supporting part directly affects its quality.</p>
        <p>Three aspects characterized quality: the quality of the information system, the
quality of life cycle processes and the quality of support or implementation [21].</p>
        <p>Features of modern information systems structure are:
─ large number of components;
─ multifunctionality;
─ the presence of structural, informational and other types of redundancy;
─ complex forms of components interconnection;
─ significant role of time ratios of separate components failures in serviceability and
failures of system;
─ availability of advanced maintenance.</p>
        <p>Since the quality of the system is determined by its reliability, it is necessary to pay
attention to research and improvement of methods to ensure the system quality.</p>
        <p>The peculiarities of the information system functioning are [22]:
─ each system is multifunctional, the functions of which have different significance
and, accordingly, are characterized by different levels of requirements for the
reliability of their implementation;
─ in many systems some critical situations may arise, which are a combination of
failures or errors in the system functioning and can lead to significant violations in the
coverage of functions;
─ the operation involves various types of its provision and personnel, which may to
some extent affect the level of reliability;
─ each information system includes a large number of disparate elements (technical,
software, etc.), and in the performance of one IS function usually involved several
different elements, and the same element can participate in the performance of
several functions of the system.</p>
        <p>Since the service personnel of the information system is involved in the operation of
hardware and software of the system, the main objectives of this study are to determine
the factors influencing the quality of the system and develop a fuzzy estimation method
of the impact of service personnel on its quality.</p>
        <p>For the information system, in conditions of uncertainty of its support type reliability
level, changes in its functioning quality are typical [23, 24]. Therefore, in a situation
with risk of IS functioning quality reducing in conditions of reliability level uncertainty
of its individual components, the most appropriate is the use of fuzzy logic, which
allows to control external influences based on some probable values, approximate
criteria, fuzzy forecasts and their interdependencies [25].</p>
        <p>The advantages of fuzzy systems compared to others are:
─ the ability to operate with input data set indistinctly: for example, values that are
constantly changing over time (dynamic tasks), or values that cannot be set
unambiguously;
─ the possibility of fuzzy formalization of evaluation and comparison criteria:
operating with the criteria of "majority", "possible", "preferably", etc.;
─ the possibility of conducting qualitative estimation of both input data and output
results, because the operation is carried out not only the actual values of the data, but
their degree of probability and its distribution;
─ the ability to quickly modelling of complex dynamical systems and their
comparative analysis with a given degree of accuracy: operating on the principles of system
behaviour described by fuzzy-methods, first, does not spend much time finding out
the exact values of variables and compiling equations describing them, secondly, it
is possible to estimate different variants of initial values.</p>
        <p>The theory of fuzzy sets makes it possible to apply inaccurate and subjective expert
knowledge about the subject area for decision-making without formalizing them in the
form of traditional mathematical models.</p>
        <p>Using the theory of fuzzy sets, the issues of harmonization of contradictory criteria
for design decisions are solved. Fuzzy sets make it possible to apply a linguistic
description of complex processes, establish fuzzy relationships between concepts, predict
project behaviour, form a set of alternative actions and perform a formal description of
fuzzy rules of project decision-making.</p>
        <p>The general structure of fuzzy control contains the following components:
fuzzification unit; knowledge base; block of decisions; defuzzification unit [25].</p>
        <p>The fuzzification unit converts the clear values measured at the output of the control
object (in this case the information system) into fuzzy values described by linguistic
variables in the knowledge base.</p>
        <p>The decision block uses fuzzy conditional (if - then) rules laid down in the
knowledge base to convert fuzzy input data into the necessary control effects, which
are also fuzzy in nature.</p>
        <p>The defuzzification unit converts fuzzy data from the output of the decision unit into
a clear value, which is fed to the actuator to control the reliability of the supporting part
and, accordingly, the information system quality [25].
3.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Fuzzy Estimation Method of IS Functioning Quality</title>
        <p>An important task is to identify nonlinear dependences, i.e. to design their models based
on the results of observations. At the first stage, structural identification is performed.
It is the formation of a fuzzy knowledge base, which roughly reflects the nonlinear
relationship "inputs - outputs" using the linguistic rules "if-then". These rules are
generated by an expert or are obtained by extracting fuzzy knowledge from experimental
data. In the second stage, there is a parametric identification of the studied dependence
by finding such parameters of the fuzzy knowledge base that minimize the deviation of
the fuzzy modelling results from the experimental data. The customizable parameters
are rule weights and fuzzy term membership functions.</p>
        <p>It is assumed that the dependence model y=f(X) is given by the fuzzy Mamdani
knowledge base [25]. We assume that there is also a training sample of M pairs of
experimental data connecting the inputs Xr=(xr,1,xr,2,...,xr,n) with the yield y of the
studied dependence:</p>
        <p>( X r , yr ), r  1, M ,
where Xr=(xr,1,xr,2,...,xr,n) is the input vector in the r-th pair of the training sample;
yr - the corresponding output.</p>
        <p>We introduce the following notation:
Р - vector of membership functions parameters of input and output variables terms;
W - vector of weight coefficients of knowledge base rules;
F(P,W,Xr) - the result of derivation from the fuzzy Mamdani knowledge base with
parameters (P,W) at the value of the inputs Hr.</p>
        <p>According to the method of least squares, setting up a fuzzy knowledge base Mamdani
is reduced to the following problem of mathematical programming: to find such a
vector (P,W) that</p>
        <p>RMSE 
1</p>
        <p> ( yr  F (P,W , X r ))2  min .</p>
        <p>
          M r 1,M
In this optimization problem, the controlled variables P are usually subject to
constraints that ensure the linear ordering of the term sets elements. Such constraints do
not allow optimization algorithms to make, for example, a fuzzy set "low" more than
"high". In addition, the kernels of fuzzy sets should not go beyond the ranges of the
corresponding variables. Such restrictions ensure the transparency of the fuzzy
knowledge base after configuration, i.e. the possibility of meaningful interpretation of
the rules. As for the vector W, its coordinates should be in the range [
          <xref ref-type="bibr" rid="ref1">0, 1</xref>
          ]. If the level
of interpretability of the knowledge base is subject to high requirements, the weights of
the rules are not adjusted, leaving them equal to 1. An intermediate option is possible,
when the weights can take values 0 or 1.
        </p>
        <p>The way to draw fuzzy inference by the Mamdani mechanism can be described as
follows [25]:
1) comparison of input data with the values of input membership functions;
2) finding the smallest value of input membership functions for each of the inputs
that correspond to the rule base;
3) truncation on the ordinate axis of the functions of belonging to the output of values
that exceed the values found in the second step;
4) finding among the truncated membership functions the output of those with the
maximum amplitude;
5) finding the sum of the values of the cut-off function of the yield found in the fourth
step, which forms the final figure;
6) finding the centre of gravity of the obtained figure, which interprets the output of
the system.</p>
        <p>It is recommended to include in the list of influencing factors of possible deterioration
of the information system caused by its supporting part those components that
significantly affect its quality. Therefore, it is expedient to distinguish service personnel and
their impact from all types of IS support, for example, on the reliability of the technical
component and on the functioning of the system as a whole.</p>
        <p>The fuzzy system of estimation the impact of the reliability of IS supporting part on
its functioning quality has input values of the level of qualification, workload of service
personnel and the reliability of the system technical support.</p>
        <p>The output of the developed fuzzy estimation system is its functioning quality.
In general, the fuzzy estimation system has the form shown in Figure 1.
The Fuzzy Logic Toolbox MATLAB is used to build and verify the correct operation
of the developed fuzzy model. The general scheme of this fuzzy model is given in
Figure 2.
For the input variable that determines the reliability of hardware, the following
distribution is proposed:
─ working condition (failure);
─ refusal;
─ error.</p>
        <p>Failure is a property of the object continuously maintain a workable status in the period
of some time or some work.</p>
        <p>Refusal is an event that represents a violation of the technical support capacity. It is
mainly caused by physical destruction of elements or gradual deterioration their
characteristics.</p>
        <p>Error – short-term disruption to the correct operation of the computing device or its
element, after which its operability is self-renewing or restored by the operator without
repair. Errors can be triggered by internal or external blockages.</p>
        <p>The main qualities of computer technology, related to its reliability, are described by
the distribution of failures over time, recovery processes and organization of service.</p>
        <p>For the input variable "qualification level" of the staff, it is proposed to consider two
states: sufficient and low.</p>
        <p>The reliability of the functions assigned to the staff depends on the workload of its
work, which may be within the norm or overtime, determines the two possible states of
the input variable "workload".</p>
        <p>To simplify the construction of a fuzzy system and to speed up its work, you should
choose the following distribution of the quality of the information system: high;
average; low.</p>
        <p>This distribution is used to specify the input variables, i.e. to build their membership
functions.</p>
        <p>Fuzzy Logic Toolbox graphics tools are used to review the results of the
development and operation of the fuzzy inference system. The same tools are used in the
development of fuzzy inference systems as a graphical object-oriented automatic
programming language.</p>
        <p>These tools include:
─ FIS Editor (FIS);
─ Membership Function Editor (MFE);
─ Rule Editor;
─ Rule Viewer - fuzzy inference system rules viewer;
─ Surface Viewer - fuzzy output surface viewer.</p>
        <p>In the case of the developed system, it is expedient to set the membership function of
input variables in a bell-shaped form, which will describe them as accurately as
possible.</p>
        <p>The fuzzy system of distribution of IS functioning quality on an input receives value:
─ reliability of technical support (technical);
─ level of personnel qualification (qualification);
─ workload.</p>
        <p>The output of the fuzzy system is system functioning quality (quality).
4
4.1</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Case Study</title>
      <sec id="sec-4-1">
        <title>Experiment Technique</title>
        <p>To specify the membership functions of each variable, it is necessary first determine
their range of values.</p>
        <p>
          In order to study the proposed fuzzy system, the reliability of hardware can be set,
for example, in the range [
          <xref ref-type="bibr" rid="ref1">0, 1</xref>
          ], dividing it into subsets:
─ workable;
─ crash;
─ refusal.
        </p>
        <p>The assignment of the membership functions of the input variable by means of the
Membership Function Editor of the MATLAB environment is given in Figure 3.
The input variable of the fuzzy qualification system is specified by the following fuzzy
sets:
─ sufficient;
─ low.</p>
        <p>The constructed membership functions of the input qualification variable are shown in
Figure 4.
The input variable workload of the developed fuzzy system can be set by the following
fuzzy sets:
─ overdone;
─ normalized.</p>
        <p>The membership functions of the input variable workload are shown in Figure 5.
A trapezoidal shape (Figure 6), which will allow more accurate dephasing gives the
membership functions of the output of the developed fuzzy system.</p>
        <p>In this case, the output of the fuzzy system interprets the quality of the information
system. Fuzzy set “middle”, indicates the average value of quality caused by a decrease
in the level of technical support reliability or maintenance personnel.
If the quality of the system is high, then the output variable of the fuzzy system is set
by the set “high”, which reflects the range of values [0,7; 1]. If the quality is low, then
the output of the developed fuzzy system is set by the set “low”.</p>
        <p>The operation of the proposed fuzzy system depends on the base of rules. Since the
input variables qualification and workload are given by two membership functions, and
the input variable technical - three, and given the situation when the level of
qualification, workload and reliability of hardware are not specified by the computer system, the
rule base consists of R = 3 • 3 • 4-1 = 35 “if-then” rules. The case when not all input
variables are specified cannot be considered, because then the fuzzy system cannot give
an output inference.</p>
        <p>The base of rules is in accordance with the data in Table 1.</p>
        <p>For example, if the technical support takes the value that belongs to the working
group, the level of qualification is sufficient, and the workload of staff is overtime, it
can be assumed that the IS functioning quality will be high.</p>
        <p>That is, the rule that describes this case will look like:
If (technical is workable) and (qualification is sufficient) and (workload is overdone)
then (quality is high)
The window for modelling the rule database of the Rule Editor tool of the MATLAB
7.10.0 environment (R2010a) is shown in Figure 7.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Experiment Results and Discussion</title>
      <p>To verify the correctness of the developed fuzzy estimation system of IS functioning
quality due to service personnel, a tool for reviewing the rules of the fuzzy inference
system is used (Figure 8).
To visualize the dependence of the output variable on the input, the fuzzy output surface
viewer is used (Figures 9-11).</p>
      <p>As a result of processing the database of rules, we can build a table of input variables
values and their corresponding values of the output variable (Table 2).
The analysis of the data of the case 9 – 11 and Table 2 confirms the correctness of the
proposed fuzzy system model.</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusions</title>
      <p>The developed method for estimation of the service personnel impact on the quality of
the information system functioning allows taking into account in real time variable
influence factors on quality by simulating the situation:
─ at any time during the system functioning;
─ if necessary, estimation the reliability of the supporting part of the system;
─ in the event of a sudden change in the reliability of some type of information system;
─ when changing the service personnel of the system;
─ when considering and analysing the prospects for system improving.</p>
      <p>The fuzzy logic of project decision-making is complicated by the presence of three
or more influencing factors. For example, hardware redundancy may be an additional
circumstance. This means that the inclusion of a reserve at a certain stage of IS
operation in the event of a hardware failure may keep the system at the appropriate level of
quality. If the unfavourable circumstances become more and more devastating, the
hardware reserve decreases and the quality begins to fall again. It was shown that such
complex dependence in fuzzy logic could be represented as a "plateau".</p>
      <p>In fact, the "plateau" effect occurs infrequently. A risk situation is more typical,
when one of the factors (it can be, for example, workload and fatigue caused by it)
affects the reduction of quality from time to time under uncertain circumstances. In this
case, the surface of values more realistically reflects the situation and allows making
more flexible and sound decisions based on fuzzy logic, i.e. in many variable and
uncertain circumstances, such as erroneous actions of staff.</p>
      <p>The proposed method will allow management, without having sufficiently accurate
and clear information, to estimate the impact of service personnel of the information
system on its functioning quality.</p>
      <p>In future, the authors plan to investigate the proposed method of influencing the
information system quality due to set of components such as technical, software,
information support and attendants staff.
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International Conference on Modern Problems of Radio Engineering, Telecommunications and
Computer Science (TCSET), Lviv, 718-720. (2016)
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development projects. In: Procedings of the 2017 International Conference on Information
Technology Systems and Innovation (ICITSI), Bandung, 285-290. (2017)
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