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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>CWW Enhanced Fuzzy SWOT Evaluation for Risk Analysis and Decision Making under Uncertainty</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Žygimantas Meškauskas</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Sciences Kaunas University of Technology Kaunas</institution>
          ,
          <country country="LT">Lithuania</country>
        </aff>
      </contrib-group>
      <fpage>38</fpage>
      <lpage>42</lpage>
      <abstract>
        <p>-The SWOT analysis is a method used worldwide to assist in the decision making in industrial, and business management, as well as in banking, military planning operations, and science. Without question, it is seen as an obligatory tool on both the governmental level, as well the personal. Until now, all data had to be collected from the experts and the decision makers in numerical form, and be presented in numerical form. In this paper, we aim to enrich the SWOT analysis using the 'Computing with Words' paradigm for expert knowledge extraction in a verbal form. By presenting data in this format, we allow experts to express their opinion alongside possible uncertainties. Moreover, enriched SWOT analysis results are extremely useful for the risk analysis and decision making.</p>
      </abstract>
      <kwd-group>
        <kwd>SWOT analysis</kwd>
        <kwd>computing with words</kwd>
        <kwd>fuzzy</kwd>
        <kwd>risk analysis</kwd>
        <kwd>decision making</kwd>
        <kwd>uncertainty</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>I. INTRODUCTION</title>
      <p>There are many numerous methods for extracting
knowledge from experts throughout the varying fields of
academic and professional activity. If some information
about one specific area is needed, it is not mandatory to
have deep knowledge in that area. This is the case where
field experts take a major role, and the method itself is only
needed to save extracted information in a structured form.
Generally, data extraction and the structuring process can
be defined as:</p>
      <p>Data → Information → Knowledge → Wisdom.</p>
      <p>Data extraction is always performed in a certain form of
dialogue. Experts from different fields often use different
terminology to describe the same objects, just from
different perspectives. The biggest challenge is to conduct a
successful conversation with an expert so that the opinion
would be expressed adequately. For this purpose, a widely
used SWOT analysis method, enriched with the ‘computing
with words’ paradigm, was used for a verbal knowledge
expression and uncertainties evaluation. The results of such
analysis can also be expressed in linguistic form, providing
information for the risk management and decision making.</p>
      <p>Chapter 2 contains a related work section, chapter 3
describes CWW enhanced SWOT analysis methodology,
and chapter 4 describes risk management and decision
making. In chapter 5, experimental simulation is presented,
and chapter 6 concludes everything with remarks.
© 2019 for this paper by its authors. Use permitted under Creative
Commons License Attribution 4.0 International (CC BY 4.0)</p>
    </sec>
    <sec id="sec-2">
      <title>II. RELATED WORKS</title>
      <p>
        SWOT analysis enhanced by the ‘Computing with
Words’ methodology is described in [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. This article
mainly focuses on the use of analysis under uncertainties
for experts’ knowledge extraction, and the use of analysis
results in risk management and decision making. The idea
is that risk is not simply a loss multiplied by the probability,
but that there are also positive risk options, described in [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
The risk management part in this work is based on a
composed risk formula, presented in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], that links risk
analysis inputs and SWOT analysis outputs.
      </p>
    </sec>
    <sec id="sec-3">
      <title>III. CWW ENHANCED SWOT ANALYSIS</title>
      <p>
        It is known that SWOT stands for strengths (ST),
weaknesses (WK), opportunities (OP), and threats (TH) that
surround any idea, plan, or project to be investigated
and / or implemented. Opportunities and threats are usually
defined as external issues of the project and signify possible
positive and negative achievements once the project is
realized. At the same time, strengths and weaknesses mean
internal issues enable, and impede, the achievement of both
the main goals and the development of projects. A
quantitative interaction between OPs, THs, STs and WKs is
usually expressed by a numerical SWOT matrix which
shows the influence of STs and WKs on strengths and
threats [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>This article aims to find ways on how to use verbal
qualitative evaluation in the process of delivering
descriptions of data necessary for SWOT analysis.
Attempting to perform necessary SWOT computations and
deliver the obtained SWOT analysis results in a verbal form
OPs, THs, STs and WKs were characterized by means of
using words. It indicates that CWW (Computing with
Words) methodology enriches SWOT methodology and
creates a possibility for SWOT users and decision makers
to communicate using words of common language. We
propose and investigate new possibilities to apply and
enrich SWOT analysis mechanisms, using elements of
artificial intelligence, and the computing with words
paradigm. This approach is novel due to the originality of
the encoding of input words that describe the investigated
situation in a new functional organization of the SWOT
engines. Put simply, the method, decodes and aggregates
numerical outputs into a verbal form. The main idea of
CWW enhanced SWOT analysis is to take verbal
descriptions as input, convert that data into numbers for
internal computation using a ‘fuzzy logic’ engine, and
translate the result to the user in a verbal form (as shown in
Fig. 1).</p>
      <p>It is not necessary to have the knowledge on a specific
domain — this is the role of experts. A certain number of
experts can describe the situation and all the dynamics of
the domain. The main focus is to collect required expert
information for analysis and data storing. The most
convenient way to describe a situation for any human being
is to express it verbally instead of using numbers but some
level of uncertainty arises from those words. Computational
systems are based on a numerical data, so data encoding,
and decoding, is needed. In line with the CWW paradigm,
all inputs and outputs to the user (expert) are in a verbal
form. All the internal SWOT analysis computations using
CWW paradigm are performed using a black box principle.
When an expert characterizes the information and dynamics
for the domain, all this information and data is processed by
a translated list of rules and algorithms. Rules and
algorithms are determined by expert’s described dynamics
of the field and used to translate between numerical and
verbal data using ‘Fuzzification’ and ‘Defuzzification’ with
fixed membership functions (displayed in Fig. 2).</p>
      <p>
        The ‘Fuzzy logic’ engine calculates a numerical value
of a given verbal term and a value of uncertainty by
assigning a membership function. The number of different
verbal terms describes input words as possibilities. But,
according to “Miller’s law” [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] (The Magical Number
Seven, Plus or Minus Two), a human can differentiate
approximately up to seven different verbal evaluations. This
CWW enhanced SWOT analysis verbal data input and
output dictionary are selected based on this law. It used six
different terms:






“Zero” ({Z}),
“Very small” ({VS}),
“Small” ({S}),
“Medium” ({M}),
“Large” ({L}),
“Very large” ({VL}).
      </p>
      <p>Each verbal term from the selected dictionary has its
triangular form. The peak of each triangle on the X axis
represents a numerical value for verbal terms in case of an
absolute certainty. Left and right shoulders of the triangle
represent uncertainty. In an example (Fig. 2), an expert
expressed an opinion as “Large” with a degree of certainty
(µ) as 0.8. Left shoulder of term “Large” (XL(L)) is the
pessimistic value of uncertainty and the right shoulder
(XL(R)) is optimistic.</p>
      <p>When all data needed for SWOT analysis is submitted
in that form, aggregated opportunity and values
are calculated. Due to the data being translated in two ways
(pessimistic and optimistic), there is a possibility for
multiple perspectives of the results that can serve as a
possible input data for risk analysis methodology.</p>
    </sec>
    <sec id="sec-4">
      <title>IV. RISK ANALYSIS AND DECISION MAKING</title>
      <p>
        Risk is the level of uncertainty of action (results). Most
of the methodologies interpret that risk directly depends on
threats. In our approach we reference to Hillson [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] and
state that risk is symbiosis of opportunities and threats. To
implement this idea, we have associated risk components
with SWOT analysis.
      </p>
      <sec id="sec-4-1">
        <title>A. Risk analysis</title>
        <p>In the context of a risk analysis, opportunities and
threats can be associated with SWOT analysis components
with opportunities and threats components; efforts and
hesitancies also make an impact. Efforts can be expressed
as investments in a risk analysis process, and hesitancies are
the level of uncertainty. In our approach, risk can be
described as:</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>The concept of risk combines:</title>
    </sec>
    <sec id="sec-6">
      <title>Activity (EFF/efforts/input/ ...);</title>
    </sec>
    <sec id="sec-7">
      <title>Potentially positive results (OP/ achievements/attainments/ ...); Potentially negative results (TH/ losses/defeats, …);</title>
    </sec>
    <sec id="sec-8">
      <title>Uncertainties</title>
      <p>(HES/hesitations/instabilities/options/probabilities/
...).</p>
      <p>OP and TH components of risk are strictly related to
SWOT analysis outcomes ( and ). Risk can be
evaluated by combining it with an expert evaluation about
required efforts (EFF) and (if needed) uncertainties (HES)
evaluation. Risk evaluation can be estimated, and actions
taken if necessary. Furthermore, verbal advices or visual
representation of the results can be done.</p>
      <sec id="sec-8-1">
        <title>B. Decision making</title>
        <p>
          A decision is a commitment to a proposition, or a plan
of an action based on the information and values associated
with the possible outcomes. The process operates in a
flexible timeframe that is free from the immediacy of
evidence acquisition and the real time demands of the
action itself. Thus, it involves deliberation, planning, and
strategizing [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. The study of decision making is a
multidisciplinary field. It occurs in psychology, statistics,
economics, finance, engineering (e.g., quality control),
political science, philosophy, medicine, ethics, and
jurisprudence. There are many conflicting criterions that
need to be evaluated in making decisions in our daily or
professional lives.
        </p>
        <p>
          Research on a multi-criteria decision support developed
two main groups of methods, i.e., American and European
schools. Methods of the American school of decision
support are based on a functional approach, more precisely
the utility or value function. Researchers from the European
school emphasize the fact that many methods do not
consider the variability and uncertainty of expert
judgments. However, the most common solution to this
problem is to use granular mathematics, e.g., fuzzy sets
theory or interval arithmetic [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ].
        </p>
      </sec>
    </sec>
    <sec id="sec-9">
      <title>V. EXPERIMENTAL SIMULATION</title>
      <p>
        Generally, a lot of SWOT analysis tools were created,
but they lack verbal operations. For this reason, a
prototypical SWOT enhanced CWW analysis tool was
created and used to test the effectiveness of the described
methodology. Pilot testing was made on “Construction of a
new hotel complex in a particular area” example from [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
The example itself has already been analyzed in article and
all SWOT analysis data is accessible for the use and the
comparison of the results.
      </p>
      <sec id="sec-9-1">
        <title>A. Data input</title>
        <p>SWOT enhanced CWW tool data input is processed by
one component at a time. There are two groups of identical
data input:
1. Opportunities and Threats;
2. Strengths and Weaknesses.</p>
        <p>The user must enter a title and a short acronym of every
SWOT analysis component (row number is generated
automatically if not specified). When the user submits OP
or TH information, a degree of importance (impact) and
value of truth (membership value) evaluations needs to be
specified. Estimation itself is entered in a verbal form. The
input of the opportunity is shown in Fig. 3.</p>
        <p>The second step in data input procedure is ST and WK
information as well as the data of influences. Information
about strength or weakness is entered analogous to
opportunities and threats. Procedure of the influence input
is as follows: the user chooses ST or WK component from
the existing list and then specifies the influenced
component (OP or TH). Value of influence is entered in a
verbal form. There are three ways to express certainty about
the given evaluation:
1. Absolute certainty — used, when there is no doubt
about given estimate;
2. Digital certainty — used, when there is some
uncertainty which can be evaluated;
3. Verbal certainty — possibility to express both
evaluation and a level of certainty about that
evaluation in verbal form.</p>
      </sec>
    </sec>
    <sec id="sec-10">
      <title>Strength input is shown in Fig. 4. 40</title>
      <sec id="sec-10-1">
        <title>B. Testing situation</title>
        <p>
          Pilot testing was done using example from [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. List of
opportunities is shown in the TABLE I.
        </p>
      </sec>
    </sec>
    <sec id="sec-11">
      <title>List of threats is shown in the TABLE II.</title>
    </sec>
    <sec id="sec-12">
      <title>List of strengths is shown in the TABLE III.</title>
    </sec>
    <sec id="sec-13">
      <title>List of weaknesses is shown in the TABLE IV.</title>
      <p>All SWOT analysis components and evaluations are
presented in a matrix. A SWOT evaluation matrix is shown
in TABLE V.
“Degrees of importance” (c), “Values of truth” (ρ) and
influences are shown in verbal form (S – small,
Mmedium, L- large). Some of the words (Z - zero, VS - very
small and VL - very large) did not occur in our model.</p>
      <sec id="sec-13-1">
        <title>C. Experimental results</title>
        <p>The final evaluation of summarized opportunities OP∑ as
well as threats TH∑ is performed according to formulas (2)
and (3):</p>
      </sec>
    </sec>
    <sec id="sec-14">
      <title>SWOT analysis results are shown in Fig. 5.</title>
      <p>By given SWOT analysis evaluations, results are
calculated and presented in three ways:
(2)
(3)
1. Optimistic — the best possible result of an overall
Opportunities and Threats evaluation (Best
opportunities size);
2. Pessimistic — the worst possible result of an overall
Opportunities and Threats evaluation (Worst threats
size);
3. Medium — the average result of overall Opportunities
and Threats evaluation (Realistic view);</p>
      <p>
        The tool shows numerical results in a graphical form
and verbal results are shown at the bottom as the value and
the certainty. Looking at the pessimistic perspective of this
model, the resulting opportunities are estimated as very
small (VS) with 0.4 certainty and as small (S) with 0.6
certainty. Meanwhile in the optimistic perspective common
opportunities are estimated as small (S) with 0.83 certainty,
and as medium (M) with 0.17 certainty. These results
reflect the hotel complex building in Palanga Lithuania
(example from article [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]).
      </p>
    </sec>
    <sec id="sec-15">
      <title>VI. CONCLUDING REMARKS</title>
      <p>This paper suggests the use of verbal descriptions for
SWOT analysis data input. A new prototypical software
tool based on Hillson’s ideology and methodology about
enriching SWOT analysis with the CWW paradigm was
created. Successful experiment simulation based on a
created tool was made and simulation results were
presented. Those results can serve as expert information for
risk management and decision making.</p>
      <p>Further research objective is to create a network of tools
for more complex situation analysis with more than one
SWOT analysis possibility. The main idea of SWOT
enhanced CWW network is to use one SWOT analysis
results as an influence on another connected SWOT
analysis results.</p>
    </sec>
    <sec id="sec-16">
      <title>ACKNOWLEDGMENT</title>
      <p>I wish to thank prof. Raimundas Jasinevičius for his
methodological assistance and guidelines and prof. Egidijus
Kazanavičius for creating an environment for the research.
knowledge
created,</p>
    </sec>
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