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    Quantitative SWOT analysis:

    An aggregation approach allowing for dependencies

    Dr. Regina W. Schrder

    Affiliation: School of Economics and Management

    Free University of Bozen / Bolzano

    Universittsplatz 1 / Piazza Universit 1

    39100 Bozen / Bolzano

    Italy

    Current position: Assistant professor

    Email address: [email protected]

    Abstract

    In times of an increasingly insecure external environment, the internal environment gains in

    importance, meaning that every company today pays more attention to the strengths and

    weaknesses in place within the corporation. As a result, nowadays the SWOT analysis con-

    cept regarding both the corporate surroundings and the companys settings is well-established

    and widely-used. But the proposed concepts so far are missing a clear definition of the inte-

    grated concepts.

    Amongst others there nowadays exist qualitative SWOT approaches and quantitative

    ones. While a broad range of quantitative SWOT methods have already been proposed in lit-

    erature, most of them (except for two) abstract away from relations between the four concepts

    included in the SWOT analysis and/or between the elements that are part of the different

    groups. For example, it is possible but not taken into account that an opportunity depends on

    another chance.

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    To eliminate this gap the author supposes an aggregation approach, not only taking target

    dependencies, but also relations among the considered events, capabilities and knowledge

    factors into account. Altogether 573 dependencies can be distinguished.

    Though the proposed model conveys at first glance the impression of being comprehen-

    sively conceptualized, it still seeks, amongst others, proof of its validity. In addition, other

    characteristics await their consideration. For example, the time factor, particularly important

    in the context of cause and effect-chains, is disregarded. However, every opportunity, threat,

    strength or weakness possesses its own lifetime, during which it may become important, and

    the factors presumably dont show their effects immediately, but with a specific time lag.

    Keywords

    SWOT analysis, quantitative, interrelations, aggregation

    JEL-Classification

    D 81; L 21; M 21

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    Introduction

    Strategic management, in general, represents a collection of decisions and actions taken by the

    management of a company. In the strategic management process multiple instruments can be

    applied. Among them is the SWOT analysis (acronym for strengths, weaknesses, opportuni-

    ties and threats) as an approach to systematically analyze a corporations internal and external

    environment and to, thus, identify factors presumably affecting the corporate future.

    Up to now a plurality of SWOT approaches exist. While some of them just highlight and

    almost list the identified factors, others aim at quantifying the strengths, weaknesses, oppor-

    tunities and threats. Particularly taking the latter methods into account, two questions arise:

    (a) Is it suitable to consider all factors independently from one another, or are there interde-

    pendencies that have to be factored in?, and (b) Is it possible to connect the SWOT analysis

    with an aggregative approach, allowing for dependencies?

    To contribute to answering both questions, this article not only illuminates the under-

    standing of the four concepts, but also proposes a new SWOT concept which allows for de-

    pendencies. Hence, the article is structured into five partly further differentiated sections. Fol-

    lowing to this introduction, a literature review focusing on the SWOT analysis and its differ-

    ent conceptions is given, before the third section eliminates one shortage of the previously

    developed methods, namely the missing clarification of the concepts integrated in the analy-

    sis. In the fourth section the proposal of an aggregative SWOT analysis is tabled, on which a

    conclusion follows.

    Literature Review

    Research encompasses qualitative and quantitative methods. This also pertains for the SWOT

    analysis, in which, however, the former approaches for an analysis of the internal and external

    environment prevail. The main objective of the SWOT analysis is to provide the information

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    needed for formulating a well-founded strategy (Kangas, Pesonen, Kurtilla and Kajanus,

    2001).

    In a qualitative SWOT analysis the four scrutinized factor types (the strengths, weakness-

    es, opportunities and the threats) are commonly summarized in a template, resembling a

    (2 x 2)-matrix. The tables columns comprise the results of the analysis of the internal envi-

    ronment, i.e. the strengths and weaknesses, whereas the matrixs lines include the factors

    identified by analyzing the external environment, namely the faced threats and opportunities

    presenting themselves (or vice versa). The resulting template gives a summary of the sur-

    roundings plus their development tendencies and of the corporate situation, including all gath-

    ered capabilities, knowledge and motivation.

    Kurtilla, Pesonen, Kangas and Kajanus (2000) find fault with this overview, as the analy-

    sis results often are superficial, imprecise and incomplete. The main lack of the quantitative

    SWOT analysis approach, according to Kurtilla et al., consists in the method merely pinpoint-

    ing factors belonging to the four mentioned groups, without assessing the groups and, thus,

    identifying the most important among them. In the same year, Anwar and Siddique agree to

    the qualitative SWOT analysis failure to quantify the importance of each of the four con-

    cepts. They, moreover, amend two further deficiencies of the traditional SWOT analysis: (a)

    They characterize the considered method as being highly subjective, and (b) refer to the

    short-term and the long-term impact of each variable which cannot be derived from the analy-

    sis. In 2004 Kajanus, Kangas and Kurttila repeat some of the in 2000 already mentioned defi-

    ciencies of the qualitative SWOT analysis, but also lay emphasis on the common use of this

    tool, which to their mind provides a good basis for strategy formulation, if used properly.

    Recapitulating the qualitative SWOT analysis deficits listed before, the need for another

    design of the analysis becomes apparent. To meet this demand, various approaches for a

    quantitative SWOT analysis have been developed. The devised methods can be divided into

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    two groups: in native and in hybrid techniques. The former aim at analyzing data on the

    strengths, weaknesses, opportunities and threats statistically.

    To achieve this target, various methods have been put forward: the External Factor Eval-

    uation Matrix (EFE), the Internal Factor Evaluation Matrix (IFE) and the Competitive Profile

    Matrix (CPM) (Chang and Huang, 2006). Though each of these three methods is subjective,

    they aim at easing the subjectivity of the SWOT analysis. This is done by assigning weights

    to the considered factors, which represent the factors importance for being successful in the

    firms industry. Then, a company-based rating is assigned to the considered factors. Multiply-

    ing the weights by the assigned rating, gets the weighted score of each factor. The last step in

    formulating an IFE, EFE or CPM is to sum up the weighted scores. While the IFE (EFE) just

    takes the strengths and weaknesses (the opportunities and threats) into account, a competitive

    profile sums up the weighted scores of the corporate critical success factors in order to identi-

    fy business advantages and disadvantages (Lee and Lin, 2008). Simultaneously comparing the

    results of such a SWOT analysis for several companies remains difficult (Chang et al.; Lee et

    al.), encouraging the search for another quantitative SWOT analysis approach.

    Such an analytical method has been found in adopting the concept of Multiple-Attribute

    Decision Making (MADM) (Chang et al., 2006), also called Multiple Criteria Decision Sup-

    port (MCDS) (Kajanus, Leskinen, Kurtilla and Kangas, 2012), whose methods are combined

    with the SWOT analysis. There are three MCDS techniques (or families thereof) which can be

    applied to assess the importance of all SWOT factors (Kajanus, Leskinen et al.): the Analytic

    Hierarchy Process (AHP), the Simple Multi-Attribute Rating Technique (SMART) together

    with its variations called SMARTS and SMARTER (Edwards and Barron, 1994), and the

    Stochastic Multicriteria Acceptability Analysis (SMAA) methods, with which uncertain or

    inaccurate data can be analyzed. Combining the SWOT with the AHP method results in a

    hybrid approach called AWOT, which has been the first MCDS method used in SWOT anal-

    ysis and until now is the method most often applied (e.g., Kajanus, Leskinen et al.; Kurtilla et

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    al., 2000; Lee et al., 2008; Stewart, Mohamed and Daet 2002; Shresta, Alavalapati and Kal-

    mbacher, 2004; Ho, 2008).

    The original AWOT method proceeds as follows:

    (1) The SWOT analysis is carried out, identifying and including all relevant factors of the

    external and of the internal environment.

    (2) The identified factors within each SWOT group are pairwise compared to determine the

    more important factor within each pair, and to decide how much more importance the

    more important factor possesses.

    (3) Based on the determined importance of every factor, the relative importance of each of

    the four SWOT groups has to be evaluated.

    (4) The beforehand generated decision alternatives are assessed with respect to each SWOT

    factor according to the AHP method.

    (5) Following the general AWOT decision hierarchy (Kangas, Pesonen, Kurtilla, Kajanus

    2001, their figure 1) the global priorities for the strategy alternatives are calculated, al-

    lowing for a strategy to be chosen.

    Kangas, Kurtilla, Kajanus and Kangas (2003) refined the AWOT technique by modifying the

    process and by applying the SMAA-O within the SWOT framework. This is particularly help-

    ful if just ordinal and not cardinal data is available.

    The development of the SWOT analysis, however, hasnt reached its end yet. Rather, lit-

    erature already points out future paths of development, with which SWOT analysis may in-

    crease in importance (Kurtilla et al., 2000). Anwar and Siddique (2000), for instance, propose

    to differentiate for each of the four concepts considered in the analysis if they are valid at pre-

    sent, i.e. for a short-term period, or for the long-term period. Yksel and Dadeviren (2007)

    suggest instead of the MCDS techniques used so far in quantitative SWOT analyses the appli-

    cation of an analytic network process (ANP). The advantage of such an approach is that it

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    considers dependencies among the four different SWOT concepts when deciding on a strate-

    gy. Accordingly, the authors seize an idea formerly addressed by Weihrich (1982).

    Basis for conceptual understanding

    Beside the deficiencies of the SWOT analyses already discussed in this articles second sec-

    tion, the qualitative and the quantitative approaches mentioned have in common that they all

    lack in elaborating on the supposed understanding of the four concepts integrated, i.e. the

    strengths, weaknesses, opportunities and threats. Moreover, though Weihrich (1982) already

    suggested to integrate interactions among the four concepts considered in the SWOT analyses,

    focusing on pairwise combinations, and primarily facing strategies, many alternative depend-

    encies pass unheeded. The present section aims at bridging both of the listed gaps.

    Analysis of the internal environment

    A companys internal analysis aims at detecting the corporate strengths and weaknesses,

    which may be enhanced and, thus, adapted. To the strengths or weaknesses of a company be-

    long the resources gathered, the corporate culture, the capabilities and knowledge compiled,

    and the motivation of each employee. As the resources form the basis for the corporate ac-

    tions, and as the corporate culture can be interpreted as a factor determining the general

    framework, just the capabilities, knowledge and motivation remain to evaluate the corporate

    internal environment. In the following, strengths and weaknesses are understood as factors

    potentially responsible for a deviation from the target striven for. If such a factor exists, the

    strength or weakness may realize itself depending on the motivation of the person responsible

    for reaching the objective set (see Figure 1).

    Accordingly, a strength or weakness can be formalized by multiplying the po-

    tentially caused target deviation by the motivation of the charged person :

    = (1)

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    The occurrence of a strength or weakness depends on the type of objective striven for and of

    the direction of the deviation caused. Generally, all objectives belong to one of five groups.

    Fixation targets: A fixed target level (plus/minus a safety margin) shall be achieved, al-

    lowing for positive and negative deviations. The former occur if either the obtained capa-

    bility or the gained knowledge diminish a target exceedance or if a lower deviation is ob-

    tained and decreased. Factors causing diametrically opposite effects result in occurring

    weaknesses.

    Maximization targets: In this case any deviation caused by knowledge factors or by capa-

    bilities that increases the level of achievement will be positively judged. A weakness,

    however, occurs if a factor arises which diminishes the achievement level.

    Minimization targets: If the achievement of the target striven for is to be minimized, the

    effects described for maximization aims have to be judged conversely. Consequently, fac-

    tors diminishing the level of achievement cause a strength. A factor increasing the

    achievement, however, results in a weakness.

    Satisfaction targets: Here a satisfactory target level has to be obtained, any exceedances

    of this level are not considered important. Consequently, for such objectives primarily

    weaknesses may occur. These result if a realized factor lowers the achieved target level,

    so that not even the level striven for is realized.

    Limitation targets: Such objectives describe the opposite of a satisfaction target, i.e. any

    factor increasing the obtained target level is considered as a strength, if the target level is

    already exceeded. Factors not even resulting in the achievement level striven for, but

    leading to a lower level, represent a weakness.

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    Analysis of the external environment

    In contrast to the above described strengths and weaknesses, an analysis of the external envi-

    ronment results in an identification of opportunities and threats. Instead of these terms often

    the terms chances and risks are used.

    Of the four concepts included in a SWOT analyses, the risk subject is spread widest in

    literature. The multitude of risk definitions proposed results, at least partly, from opinions and

    beliefs altering over time. Thus, to date, an amazing variety of risk definitions exists. These

    can be structured in three categories: (1) definitions focusing on causes responsible for the

    emergence of a risk, (2) terms which primarily concentrate on the caused effects, and (3) un-

    derstandings combining the characteristics of the first two groups, i.e. referring to the risks

    sources and its effects. Though a transfer of this distinction to chances is still missing, it is

    easily conceivable. In the following, an understanding of opportunities and threats will be

    applied which belongs to the third group distinguished, and that reminds of the definition pro-

    posed for strengths and weaknesses. Threats

    represent the potential missing of an objec-

    tive due to supposedly arising events , whereas opportunities can be inter-

    preted as a result of probably occurring events, from which the target achievement benefits.

    Supposing that every event possesses a specific occurrence probability , the two defini-

    tions given can be formalized as follows.

    = (2)

    Each company frames its own set of objectives, which is why all strengths, weaknesses,

    opportunities and threats are strictly company specific and depend on the formulation of the

    targets pursued.

    Interrelations between the factors in a SWOT analyses

    Former publications by Weihrich (1982) and by Yksel et al. (2007) give the idea to integrate

    dependencies in the SWOT analyses. So far just interactions between two concepts at a time,

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    e.g. between strength and opportunity, have been considered. According to Weihrich two

    forms of relationship are differentiated between, if the strengths and opportunities are consid-

    ered, namely a match of the internal strengths and the external opportunities indicated by a

    +, and a weak or nonexistent dependency represented by a 0. To decide on the best match

    in every strategy box (strengths-opportunities (SO), weaknesses-opportunities (WO),

    strengths-threats (ST) and weaknesses-threats (WT)) Weihrich cautions to simply consider the

    relationship type and, thus, abstracting away from the weighting of the factors considered.

    Several other forms of interrelations should, however, be taken into account. So far de-

    pendencies between various strengths (weaknesses, opportunities or threats) have not been

    minded. To help closing the identified gap the second and the third following subsections

    elaborate on interrelations only among strengths and just among opportunities. Prior thereto,

    relations among targets, important for both of the subsequently considered dependencies are

    discussed. Though, many so far not mentioned types of relations are considered, the following

    elaborations do not catch-all existing dependencies. For example, the possibility to turn a

    weakness into a strength (Genc, 2010) and a similar presumably existing relationship among

    threats and opportunities remain disregarded.

    Target relations

    If more than just one objective is affected by a realizing factor, target relations have to be tak-

    en into account. Targets may affect other aims striven for, either with or without the affected

    objectives retroacting. In both cases, the first one of interdependency and the second one of

    dependency, three alternative consequences caused by the target first effective can be distin-

    guished.

    Indifference:

    In this case, the realized target does not exert any influence on the second objective con-

    sidered. The two aims behave neutral to one another.

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    Complementarity:

    If the two objectives taken a look at behave complementary to one another, the one objec-

    tives level of achievement supports the realization of the second target. Accordingly,

    both develop in the same direction.

    Conflict:

    Assuming the first objective to be in conflict with the second target striven for, any

    achievement of the first hampers the realization of the second objective.

    A fourth, rather extreme relationship between two targets exists, if they are identical.

    Relations among causative factors

    Apart from the target dependencies elaborated on before, two strengths can also be related

    because of dependencies among the them causing factors. The sources of strengths also

    interact either positively or negatively, or stay independent, i.e. do not affect the second factor

    causing a strength to occur.

    Remembering the statistical theory of probabilities, which similar to the motivation con-

    sidered here, take values in the range from zero to one, various forms of positive dependen-

    cies among causing factors can be distinguished:

    Identity:

    The same source causes deviations from more than one target.

    Equivalence:

    Two factors are called equivalent, if their respective occurrence probabilities (or in case

    of strengths and weaknesses caused the corresponding degrees of motivation) are con-

    sistent with the probability (motivation) that stands for the joint realization of the two fac-

    tors. However, from the factors equivalence it does not follow that the sources are co-

    herent.

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    Coherence:

    Such a relationship is just given, if one causative factor is part of the second factor con-

    sidered. The realization of the first factor then implicates that the probability (motivation)

    tied to the other source rises to its maximum, i.e. the amount of 100 %.

    In contrast to the before described forms of a positive source dependency, two negatively re-

    lated factors cannot be jointly realized. If the two factors considered are, for example, incom-

    patible, the occurrence of one causative factor prevents the second factor from realizing, i.e.

    the corresponding probability (motivation) fall to zero. It remains, however, possible that

    none of two factors considered realizes. This restriction just doesnt hold true if one factor is

    the very reverse of the second one. Then, the non-realization of one factor means the other

    occurs.

    Though it hasnt been clearly pointed out, the described causative relations hold true for

    the occurrence of a weakness, a strength, a threat and for an opportunity.

    Illustrative summary

    Recalling each of the cause- and effect-related dependencies just listed, it becomes apparent

    that numerous (inter)relations among strengths, among weaknesses, between opportunities or

    among threats exist (Figure 2). All of these dependencies should be considered when conduct-

    ing a quantitative SWOT analysis.

    All in all the identified strengths, weaknesses, threats or opportunities can each interact

    with other members of the same group in 63 different ways (= 1 [case A] + 7 [case B] + 7

    [case C] + (7 x 7 1) [case D]). If, however, the elements of two different groups (e.g. oppor-

    tunities and strengths) are considered, altogether 64 (and surely not just two, as proposed in

    Weihrichs (1982) interaction matrix) different relations have to be born in mind. The slightly

    higher number of relations arises, as, for instance, the same factor may affect the same objec-

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    tive, however, in different ways. Consequently, an identity regarding the source and the af-

    fected objective may occur.

    Summing up, 573 (= 4 x 63 + 6 x 64) dependencies among strengths, between weakness-

    es, among opportunities and between threats can be distinguished and have to be taken into

    account when evaluating the corporate environment and choosing a strategy. The assignment

    of weights to each relation insofar is unnecessary, as every relationship is characterized by

    motivational factors and/or probabilities, and by the caused deviation from the target striven

    for.

    Proposal for a quantitative, aggregative SWOT analysis integrating dependencies

    To quantitatively evaluate the corporate internal and external environment at the same time,

    an enterprise may refer to the existing approaches for a SWOT analysis. These, however,

    mostly leave dependencies among the four concepts out of account, from which, regarding the

    variety of relationships among strengths, weaknesses, opportunities and/or threats, difficulties

    potentially arise.

    An aggregation of all factors presumably causing target deviations and therein integrating

    multiple, if not all relations, establishes another approach to evaluate a companys internal

    and external environment. The new approach proposed, thus, provides a well-founded basis

    for corporate acting and decision making.

    The following elaborations are structured as follows. The first subsection describes the

    preliminary activities needed for the intended evaluation, whereas the second subsection in-

    troduces the conceptualized method. This section concludes with a part containing a valida-

    tion of the proposed model.

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    Preliminary activities

    Prior to an aggregation of corporate strengths, weaknesses, opportunities and threats some

    preparations need to be made. Firstly, based on all objectives striven for and considering their

    relations a target system has to be formulated. Literature encompasses different target sys-

    tems, which can be used as guidance for the corporate system definition (e.g., the DuPont

    scheme and the Balanced Scorecard (Kaplan and Norton 1992, 1996, 2001a, 2001b)). Due to

    an increasingly dynamic external environment, the target system is subject to continuous

    changes, i.e. irrelevant objectives need to be deleted, so far not considered aims must be add-

    ed, and the targets amount striven for often needs to be revised. Such a reformulation of the

    target system also includes a revision of the effect-related relations, leading to changes in the

    coefficient matrix B later on needed.

    Apart from that the events inducing target deviations as well as the capabilities and/or

    knowledge factors, which may also cause deviations from the targets striven for, the presuma-

    bly caused effects have to be identified. The probably long list of causative factors that have

    to be taken into account needs a limitation. Such a limit provides the operationalization of the

    given threats, opportunities, strengths and weaknesses. The operationalization asks on the one

    hand for a clarification of the relevant presumably occurring sources and the potentially

    caused effects, together with their amounts. In addition the time dimension, during which the

    factor and the caused result may occur, needs to be sorted out.

    Having identified the possibly occurring events, which may lead to threats and opportuni-

    ties, and having pinpointed the knowledge factors and capabilities inherent in the corporate

    workforce responsible for certain tasks the identified threats and opportunities, similar to the

    strengths and weaknesses, can be illustrated together in an opportunity/threat-portfolio and

    respectively in a strength/weaknesses portfolio (Figure 3).

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    Procedure of aggregation

    In the following an aggregation technique, referred to as SWOTagg and based on the afore

    specified elements, is described as a method of preparing the choice of strategy.

    The SWOTagg is composed of seven major steps.

    1) Identification of a factor to start with: An event, a capability or a knowledge factor has to

    be chosen, with which to start the aggregation procedure. For example, either the event

    with the highest occurrence probability, or the knowledge factor or capability tied to the

    highest motivation shall be chosen. To make a decision among the different factor types,

    the factor (event, capability or knowledge factor) causing the highest target deviation

    might be selected.

    2) Assumption that the chosen factor is realized: The supposed realization of an event means

    that its occurrence probability rises to one. If instead of an event a knowledge factor or

    a capability are assumed to be given, their assigned individual motivation factor increases

    to the amount of one.

    3) Assessment of the induced effects: Assuming that the realization of an event exerts influ-

    ence not only on the occurrence probabilities of other events, but also on the motivational

    factors of capabilities and presumably occurring knowledge factors. The same is true for

    entered capabilities and knowledge factors.

    The realized effect depends on the relationship between the occurred event/ capability or

    knowledge factor and the other factors considered. If a look is taken at two different fac-

    tors, these either do not affect each other, i.e. behave neutrally, or they are positively or

    negatively dependent. In the first case the realization of one factor leads to an increase in

    the probability/ motivational factor of the second one. If the factors are negatively de-

    pendent the opposite is true, i.e. the probability or the motivational factor of the second

    factor decreases. All in all the probability and/or the motivation vector changes.

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    4) Posing of a question regarding the other events, capabilities and knowledge factors giv-

    en: If there is no factor to which either a changed occurrence probability or a motivation

    amounting to one is assigned, signifying that the factor is surely realized, the procedure

    moves to the next step. Otherwise, the second and third steps are repeated, i.e. it is as-

    sumed that the factor now possessing a probability of one or to which a motivation of one

    is assigned, is realized, making changes as described afore.

    5) Calculation of the SWOTagg: Referring to the following formula the aggregated SWOT

    amount is computed.

    = + (1)

    Accordingly, the transposed joint probability and motivation vector ((p + m)T) is multi-

    plied with a matrix containing the total caused target deviations (T), with the inverse of

    the coefficient matrix (B-1

    ), which represents the existing target relations, and with a vec-

    tor containing as many ones as there are targets striven for.

    6) Posing of a question regarding the afore formulated criterion when to abandon the ag-

    gregation procedure: The considered process surely come to an end, if all events, identi-

    fied capabilities and knowledge factors have already been taken into account.

    An earlier end may, however, be justified, if the calculated SWOTagg amount resembles

    the sum of the strengths, weaknesses, opportunities and threats computed before. Then,

    the chosen starting point may be inappropriate. To justify this supposition another start-

    ing point may be chosen. If the process then leads to approximately the same result, i.e.

    an aggregated SWOT amount close to the calculated sum of all strengths, weaknesses,

    opportunities and threats, it has to be assumed that the integration of dependencies does

    not lead to accessory insights.

    Another approach to decide on an early end of the aggregation process considers the con-

    ditional probabilities and motivational factors. Assuming that a lot of factors have already

    been assumed as realized, the conditional probabilities and motivational factors converge

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    to zero. Then, the aggregation procedure can come to an almost immediate end, because

    further on just small probability or motivation changes can be achieved.

    As a fourth possible point to end the aggregation, a rule may be formulated that the con-

    ditional probabilities and the motivational factors shall not in total adopt values smaller

    than a value determined before.

    7) Ending of the procedure or reversion to its first step, assuming that another factor first

    realizes.

    Validation of the proposed model

    The importance of testing the validity of models developed is a well-known fact. However,

    due to the novelty of the model the testing so far has been neglected and criteria for testing

    have not been developed yet.

    A major problem which is encountered when testing the models validity is that the sup-

    posed approach has not been applied using past data, due to the unavailability of such data.

    Moreover, no ratio, e.g. the consistency ratio, verifying the models validity has been calcu-

    lated. Another difficulty arises due to the complexity of the approach and the necessity to

    provide a large amount of data.

    The model specified also doesnt take account of the time dimension. For example, most

    targets are not valid for an infinite length of time. The same might be true for the assumed

    relations among the deviation causing factors, which certainly can alter over time.

    Conclusions

    In the light of strengths, weaknesses, opportunities and threats the SWOT analysis aims at

    providing a basis for selecting a strategy fitting for the company considered. While various

    approaches for a SWOT analysis exist, these fail to consider all presumably existing relations

    among the SWOT analysis factors.

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    In this paper I sought to reveal the plurality of dependencies among the four SWOT con-

    cepts, and to demonstrate that it is possible to perform a quantitative SWOT analysis wherein

    the presumably existing relations among SWOT factors are included.

    Future research may seek to consider other, so far neglected characteristics of the de-

    pendencies, e.g. the time factor, leading to a Time-driven SWOT analysis (TDSWOT). In

    addition the developed model surely needs further consideration, in particular some regarding

    its deficiencies and benefits.

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    Figure 1: Conceptualization of strengths and weaknesses

    Capability ci

    Knowledge ki

    oij

    0

    oij = 0

    +

    -

    mi

    (1-mi)

    sij = mi oij

    No strength orweaknessis realized.

    wij = mi oij

    oij

    oij

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    Figure 2: Classification of dependencies between causative factors

    Case A

    Case C

    Independence

    In

    dependence

    Relations based on the deviation causing factors

    Relationsbasedontheaffectedtarget

    Case B

    Case D

    i

    ngeneral

    Identity

    Equivalence

    Coherence

    i

    ngeneral

    Incompatibility

    Complementarity

    Positive

    dependency

    Negativedependency

    Identity

    Conflict

    Complementarity

    Indifference

    Conflict

    Complementarity

    Indifference

    Interdependency

    Dependency

    Key:

    Case non existent

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    Figure 3: Opportunity/threat-portfolio

    Amount of the

    caused target

    deviation ijo

    0

    0

    opp22

    t12

    t21

    t31

    opp11

    opp32

    0,5 1 Occurrence

    probability of

    the event ie