# Application of Fuzzy DEMATEL in Risks Evaluation of Knowledge-Based Networks

Authors: M. Abbasi; R. Hosnavi; B. Tabrizi
Journal: Journal of Optimization
 (2013)

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## Abstract

Developing new products has received much attention within the last decades. This issue can be highlighted for strategic innovations, in particular. Recently, knowledge-based networks have been introduced in order to facilitate the affair of transforming knowledge into commercial products which can be regarded as a set of research centers, universities, knowledge intermediaries, customers, and so forth. However, there is a wide range of risk factors that are liable to affect the chain performance. Hence, this paper aims to consider the most influencing criteria that can play a more significant role in achievements of such networks. To do so, DEMATEL has been applied to take the relationships between the risk factors into account. Moreover, fuzzy set theory has been utilized in order to deal with the linguistic variables. Finally, the most important factors are identified and their relations are determined.


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## Body

## 1. Introduction

Over the last years, companies have extensively concentrated on developing high quality products and services which can be justified with respect to the rise of consumer demands and severe competition amongst the companies. The competition is more highlighted about the case of introducing novel products, in particular [1].It is commonly observed that many companies are hesitant to endure the risks of experiencing innovations or adopting leading-edge technologies, particularly “strategic” innovations. The strategic innovations are expensive with a noticeable proportion of ambiguity, which make the associated research and development take longer. The risks can be facilitated by the application of collaboration strategies. However, the cooperation may be hindered when the companies look for collaborating with technology partners that are reluctant to have serious working relations. Technological innovations may be followed by another shortcoming: the intrinsic risks with science-based innovations which are often hard to express, define, and quantify.The organizations may encounter significant financial and opportunity losses if the development or launch of their new product is deferred. For instance, Kurawarwala and Matsuo [2] showed that a six-eight-month delay in launch of products such as computers and cellular phones by a computer manufacturer results in a 50–75% loss in revenue. In a more recent study, McGrath and MacMillan [3] indicated that a six-month delay in the introduction of the product leads to a $2 million decrease in the project’s net present value. These instances can prove the importance of enhancing new product development capabilities, increasing efficiency, and reducing development costs.According to the extant literature, it can be stated that research on knowledge-based networks (KN) chiefly concentrates on concepts, mechanism, and components. KNs can be grouped in terms of three levels [4, 5] as follows.(1)
The macrolevel which addresses activities raising innovation at a national level [6].(2)
The medium level which deals with the companies’ business activities that are centered within knowledge flows [7].(3)
The microlevel that incorporates the activities between functional areas [8].The idea behind KNs can be tracked similar to the ordinary supply chain management. In other words, a typical knowledge chain aims at matching supplies to customer demand like the product supply chains. As a general rule, the KNs can be exemplified by universities, knowledge intermediaries, research institutions, producers, retailers, customers, and so forth. The KNs encompass the entire process of acquiring, making, or transferring knowledge [1]. Although “knowledge” is characterized in the form of data or information, the flow unit can be regarded as the potential value that can be added to a company, which in turn triggers or creates focused action. Consequently, it is intended here to enhance the overall performance of the KNs, transforming knowledge into commercially available products, by extension of the common view of companies exclusively focusing on physical, information or financial supply chains. “Knowledge” points to the particular information in universities and companies that can lead to product or process innovation.Recent research in supply and operations management also highlights the value of knowledge as a strategic resource. For example, Hult et al. [9] analyze the intangible aspects of why some supply chains outperform while others brawl. In a research study, Craighead et al. [10] showed that the performance is influenced by the degree of knowledge development capacity and intellectual capital efforts amongst a remarkable number of companies, that is, 489 companies.From a broader point of view, a given KN can be affected by different kinds of risks. These risks include a varied set of issues which can potentially impede the appropriate achievements of the chain members. Hence, it is necessary to devote a substantial attention towards the consideration of the risks and selection of the most important ones. However, there is unfortunately a bare literature on the aforementioned issue, to the best knowledge of the authors. Therefore, we have tried to identify the most significant risk factors so that the mitigation phase can be followed more purposefully. In other words, the paper aims to investigate the most influencing risk factors threatening the performance of the KNs. The issue has been taken into account by the DEMATEL technique in which fuzzy set theory has dealt with the imprecise judgments.The rest of this paper is organized as follows. Problem definition is presented in Section2, in which the risk factors are categorized. Furthermore, fuzzy DEMATEL is described in order to deal with the factors evaluation. An empirical study is carried out to show the applicability of the given method in Section 3. Finally, conclusions and future research directions are addressed in Section 4.


## 2. Problem Definition

In this section, the factors that can affect the KNs performance are explained first. Afterwards, risk sources and different types of risks are taken into consideration. To describe how the innovation process is influenced by several factors, first, it can be stated that first dynamic factors push the innovation process. The forces could be stemmed from market demand, technological progress, government initiatives, and so forth. Moreover, the success of the innovation process depends on a range of supportive functions such as the environmental system, market system, and technology availability. Finally, one has to take political and governmental factors into account which can yield in assistance and guidance on each level of the economy levels.Over all, major processes include(1) identifying knowledge demand and selection of knowledge sources, (2) sharing and transferring knowledge, and (3) applying knowledge to convert it into innovative products and processes. It is evident that risk analysis reveals both science and politics.Supply risk can be highlighted as one of the chief categories influencing supply and operations management which has an enriched body of literature (e.g., [11, 12]). On the other hand, a significant literature exists on definitions of risk and uncertainty on, for instance, assessing technological risks [13], mitigating technological risks, and communicating technological risks through knowledge-based stakeholder information systems [14].Amongst different papers that have addressed risk consideration frameworks for KNs, Lindroth and Norman [15] proposed a risk framework in accordance with experiences in the telecommunications sector with three facets including unit, risk type, and risk control. The proposed risk management framework of Christopher [16] comprises of four stages with respect to risk component definitions. Kulkarni et al. [17] considered the dynamics of supply networks and the need to investigate network complexity and feedback mechanisms.Here, we have applied different risk types proposed by Xiwei et al. [1] in which they first collected real-world examples and cases from the existing literature and then analyzed expert interviews and discussions. According to their risk categorization, the given framework has been divided into eight risk types. The main types of risks are mentioned in Table 1.Table 1
Main types of risks threatening KNs.
Risk type
Instances
Policy risk
Governmental policies, changes in the law, bureaucracy, lack of decision support, new regulations, economic shifts, lack of formal procedures, lack of quality control system, recession, inflation, increasing labor costs, actions and sanctions, shifts in legislation, change in exchange rates, lack of capital, labor disputes, inaccurate forecasts, infrastructure breakdown, and so forth.
Market risk
Changes in customer expectations, price changes, intensified competition, variations in customer demand, supplier bankruptcy, uncertainty about competitors' moves, supply disruption, and so forth.
Culture risk
Cultural differences between companies and people, lack of trust, language barriers, less willingness to share knowledge, misunderstandings, and so forth.
Knowledge risk
Cultural differences between companies and people, lack of trust, language barriers, less willingness to share knowledge, misunderstandings, and so forth.
Cooperative risk
Organizational barriers, inefficient processes, lack of coordination, bureaucracy, natural disasters, and so forth.
Contractual risk
Renegotiation of contracts, leave of business partners, supplier bankruptcy, poor quality materials, opportunism, lack of formal procedures, and so forth.
Knowledge asset risk
Lack of technology, changes in technology, patent right infringement, theft, forging, and so forth.
Talent risks
Fluctuation of skillful employees, lack of human resources, and so forth.A brief definition of fuzzy set theory is addressed here in order to deal with imprecise judgments, in addition to DEMATEL method. Afterwards, fuzzy DEMATEL is described to be applied in the case study.


### 2.1. Fuzzy Set Theory (FST)

FST was introduced by Zadeh [18] based on the concept of membership function to take linguistic variables into account. The theory tries to consider uncertain data which can be associated with existing fuzziness of peoples’ thoughts and perceptions. It should be noted that the results are in such circumstances that are extremely affected by subjective judgments. The FST has proved efficient in coping with vagueness of human thought and expression while decision-making. A linguistic variable can be defined as a variable whose values are assigned with respect to phrases or sentences in a natural language. The linguistic terms help the DMs state their judgments and assessments easily as it can be represented by different fuzzy-shaped numbers (e.g., triangular or trapezoidal).It is presumed here that linguistic values can be efficiently represented by triangular fuzzy numbers (TFNs). A TFNN~ can be defined as a triplet (l,m,u), shown by Figure 1. The associated membership function μN~(x) is calculated by (1), in which l, m, and u are real numbers and l≤m≤u. Consider the following:
(1)μN~(x)={0,x<l,(x-l)(m-l),l≤x≤m,(u-x)(u-m),m≤x≤u,0,x>u.Figure 1
A symmetric TFN.


### 2.2. DEMATEL

Decision Making Trial and Evaluation Laboratory (DEMATEL) was first introduced by the Battelle Memorial Institute through its Geneva Research Centre [19, 20]. DEMATEL can be interpreted as an extended method in setting and analyzing a structural model from which the relation between complex criteria can be extracted. The original DEMATEL method aimed to find integrated solutions to incompatible societies around the world. Afterwards, it could receive much attention as it proved to be practical in determining intricate causal relationships.DEMATEL method is based on digraphs and can separate promising factors in regard to two cause and effect groups. Digraphs can be obtained from DEMATEL, interpreted as directed graphs, letting the user be informed about the directed relationships of the subsystem. In other words, a digraph may typically characterize a communication network or some domination relation between the factors. Furthermore, DEMATEL discloses the importance of the given factors and determines how a particular factor influences over other ones, on the other hand.A notable advantage of the method is to moderate the number of criteria under consideration. The end product of this methodology is a visual sketch by which the actions and decisions can be made. Many organizations utilize DEMATEL to determine key factors so that they can enhance their organization performance [21].The implementation steps of DEMATEL are concisely described as follows.(1)
Find the pair-wise comparison matrix: in the first step, the decision-maker (DM) determines the extent to which a specific criterion affects another one. In other words, a pair-wise comparison matrix is developed by the DM in which arrayaij represents how criterion i influences over criterion j. All comparisons are performed regarding an integer score ranging from 0, 1, 2, 3, and 4. The scores stand for “no influence,” “very low influence,” “low influence,” “high influence,” and “very high influence,” respectively. An n×n matrix is developed like A=[aij]n×n, while the comparisons are all performed. However, the given matrix should be extended to an average one in the presence of a group of experts. Equation (2) shows the formula of a typical average matrix, in which H denotes the number of experts. Consider the following:
(2)[aij]n×n=1H∑k=1H[Xijk]n×n.Without loss of generality, the product is also taken as the initial direct relation matrix. It displays the initial direct influences that an element dispatches to and receives from other elements. Moreover, the causal effect between each pair of criteria can be mapped out by developing an influence map. A typical network influence map is illustrated by Figure2. The letters and arrows denote criteria of the considered system and the effects, respectively. For instance, the arrow from b to c shows the effect that b practices on c and number 3 states that the strength of the effect is high.(2)
Calculate the normalized initial direct-relation matrix: the normalized direct-relation matrixM can be obtained by (3) with regard to the direct-relation matrix A. It should be noted that all diagonal elements are set equal to zero. Consider the following:
(3)M=k·A,k=1max∑j=1n|aij|;∀i=1,2,…,n.(3)
Compute the total relation matrix: the total-relation matrixS can be calculated while the normalized direct-relation matrix is obtained. S can be derived by (4), in which I stands for the identity matrix. Consider the following:
(4)S=M+M2+M3+⋯+M∞=∑i=1∞Mi=M(1-M)-1.(4)
Compute dispatcher and receiver group: dispatcher and receiver groups can be identified regarding the values ofD-R and D+R, in which R is the sum of columns and D is the sum of rows of matrix S. Equation (5) defines a level of influence to others and a level of relationships with others. D-R indicates how a given criterion influences over the other ones. The criteria with positive value, called dispatcher, practice more influence and are therefore presumed to have higher priorities. On the contrary, the criteria with negative values, called receiver, are mostly influenced by the others and are expected to have lower priorities. On the other hand, the degree of relation between a given criteria with others can be identified from D+R. The criteria with higher values represent more amounts of relationships with others while the lower values imply fewer amounts of relationships with others. Consider the following:
(5)S=[si,j]n×n;i,j∈{1,2,…,n},D=∑j=1nsi,j,R=∑i=1nsi,j.(5)
Set a threshold value and obtain the impact-diagraph-map: the DM is required to select a threshold value for the influence level to obtain an appropriate impact-diagraph-map. The elements that exceed the set threshold are picked out and converted into the map. The threshold value is selected with respect to the DM or experts’ beliefs and the impact-diagraph-map can be provided by mapping the data set of(D+R,D-R). D+R and D-R are reflected by the horizontal and vertical axis, respectively.Figure 2
An influence map.DEMATEL is applied in this paper as an efficient method in order to build a structural model and visualize the causal relationship of subsystems through a causal diagram. The criteria with higher priorities can be isolated to be utilized in further studies aiming to evaluate different systems. However, as the linguistic judgments are fraught with different uncertainties and vagueness, it is required to consider the ambiguities. Accordingly, it is needed to integrate the DEMATEL method with fuzzy logic.


### 2.3. Fuzzy DEMATEL

The implementation of fuzzy DEMATEL has been discussed in this section. In fact, it is needed to determine how to practice the imprecision of given judgments in the decision-making process. To do so, an efficient fuzzy aggregation method should be utilized. Likewise, it is required to use a tailored defuzzification method so that a fuzzy number can be well characterized by its shape, spread, height, and relative location on thex-axis [22]. Here, we have used the converting fuzzy data into crisp scores (CFCS) defuzzification method as the fuzzy aggregation procedure. The adoption can be justified as the CFCS method can provide a better crisp value than other similar methods (e.g., the centroid method). The procedure of CFCS method proposed by Opricovic and Tzeng [22] is such that the left and right scores are taken into account by fuzzy min and fuzzy max, and a weighted average value is obtained as the total score with respect to the membership functions. Let us suppose that z~ijk=(lijk,mijk,rijk) stands for fuzzy assessments of evaluator k(k=1,2,…,p) about the degree to which the criterion i influences over criterion j. The adopted method consists of a five-step algorithm, described as follows.(1)
Normalization:(6)xlijk=(lijk-minlijk)Δminmax,xmijk=(mijk-minlijk)Δminmax,xrijk=(rijk-minlijk)Δminmax,in whichΔminmax=maxrijk-minlijk.
(2)
Calculate left (ls) and right (rs) normalized values:
(7)xlsijk=xmijk(1+xmijk-xlijk),xrsijk=xrijk(1+xrijk-xmijk).
(3)
Calculate total normalized crisp value:(8)xijk=[xlsijk(1-xlsijk)+xrsijkxrsijk][1-xlsijk+xrsijk].
(4)
Calculate total normalized crisp value:(9)zijk=minlijk+xijkΔminmax.
(5)
Integrate the crisp values:(10)zij=1p(zij1+zij2+⋯+zijp).Finally, Table2 can be applied in order to transform the aforementioned linguistic terms into positive TFNs (lij,mij,rij).Table 2
Fuzzy linguistic scale.
Linguistic terms
TFNs
No influence
(0, 0, 0.25)
Very low influence
(0, 0.25, 0.5)
Low influence
(0.25, 0.5, 0.75)
High influence
(0.5, 0.75, 1.0)
Very high influence
(0.75, 1.0, 1.0)


## 2.1. Fuzzy Set Theory (FST)

FST was introduced by Zadeh [18] based on the concept of membership function to take linguistic variables into account. The theory tries to consider uncertain data which can be associated with existing fuzziness of peoples’ thoughts and perceptions. It should be noted that the results are in such circumstances that are extremely affected by subjective judgments. The FST has proved efficient in coping with vagueness of human thought and expression while decision-making. A linguistic variable can be defined as a variable whose values are assigned with respect to phrases or sentences in a natural language. The linguistic terms help the DMs state their judgments and assessments easily as it can be represented by different fuzzy-shaped numbers (e.g., triangular or trapezoidal).It is presumed here that linguistic values can be efficiently represented by triangular fuzzy numbers (TFNs). A TFNN~ can be defined as a triplet (l,m,u), shown by Figure 1. The associated membership function μN~(x) is calculated by (1), in which l, m, and u are real numbers and l≤m≤u. Consider the following:
(1)μN~(x)={0,x<l,(x-l)(m-l),l≤x≤m,(u-x)(u-m),m≤x≤u,0,x>u.Figure 1
A symmetric TFN.


## 2.2. DEMATEL

Decision Making Trial and Evaluation Laboratory (DEMATEL) was first introduced by the Battelle Memorial Institute through its Geneva Research Centre [19, 20]. DEMATEL can be interpreted as an extended method in setting and analyzing a structural model from which the relation between complex criteria can be extracted. The original DEMATEL method aimed to find integrated solutions to incompatible societies around the world. Afterwards, it could receive much attention as it proved to be practical in determining intricate causal relationships.DEMATEL method is based on digraphs and can separate promising factors in regard to two cause and effect groups. Digraphs can be obtained from DEMATEL, interpreted as directed graphs, letting the user be informed about the directed relationships of the subsystem. In other words, a digraph may typically characterize a communication network or some domination relation between the factors. Furthermore, DEMATEL discloses the importance of the given factors and determines how a particular factor influences over other ones, on the other hand.A notable advantage of the method is to moderate the number of criteria under consideration. The end product of this methodology is a visual sketch by which the actions and decisions can be made. Many organizations utilize DEMATEL to determine key factors so that they can enhance their organization performance [21].The implementation steps of DEMATEL are concisely described as follows.(1)
Find the pair-wise comparison matrix: in the first step, the decision-maker (DM) determines the extent to which a specific criterion affects another one. In other words, a pair-wise comparison matrix is developed by the DM in which arrayaij represents how criterion i influences over criterion j. All comparisons are performed regarding an integer score ranging from 0, 1, 2, 3, and 4. The scores stand for “no influence,” “very low influence,” “low influence,” “high influence,” and “very high influence,” respectively. An n×n matrix is developed like A=[aij]n×n, while the comparisons are all performed. However, the given matrix should be extended to an average one in the presence of a group of experts. Equation (2) shows the formula of a typical average matrix, in which H denotes the number of experts. Consider the following:
(2)[aij]n×n=1H∑k=1H[Xijk]n×n.Without loss of generality, the product is also taken as the initial direct relation matrix. It displays the initial direct influences that an element dispatches to and receives from other elements. Moreover, the causal effect between each pair of criteria can be mapped out by developing an influence map. A typical network influence map is illustrated by Figure2. The letters and arrows denote criteria of the considered system and the effects, respectively. For instance, the arrow from b to c shows the effect that b practices on c and number 3 states that the strength of the effect is high.(2)
Calculate the normalized initial direct-relation matrix: the normalized direct-relation matrixM can be obtained by (3) with regard to the direct-relation matrix A. It should be noted that all diagonal elements are set equal to zero. Consider the following:
(3)M=k·A,k=1max∑j=1n|aij|;∀i=1,2,…,n.(3)
Compute the total relation matrix: the total-relation matrixS can be calculated while the normalized direct-relation matrix is obtained. S can be derived by (4), in which I stands for the identity matrix. Consider the following:
(4)S=M+M2+M3+⋯+M∞=∑i=1∞Mi=M(1-M)-1.(4)
Compute dispatcher and receiver group: dispatcher and receiver groups can be identified regarding the values ofD-R and D+R, in which R is the sum of columns and D is the sum of rows of matrix S. Equation (5) defines a level of influence to others and a level of relationships with others. D-R indicates how a given criterion influences over the other ones. The criteria with positive value, called dispatcher, practice more influence and are therefore presumed to have higher priorities. On the contrary, the criteria with negative values, called receiver, are mostly influenced by the others and are expected to have lower priorities. On the other hand, the degree of relation between a given criteria with others can be identified from D+R. The criteria with higher values represent more amounts of relationships with others while the lower values imply fewer amounts of relationships with others. Consider the following:
(5)S=[si,j]n×n;i,j∈{1,2,…,n},D=∑j=1nsi,j,R=∑i=1nsi,j.(5)
Set a threshold value and obtain the impact-diagraph-map: the DM is required to select a threshold value for the influence level to obtain an appropriate impact-diagraph-map. The elements that exceed the set threshold are picked out and converted into the map. The threshold value is selected with respect to the DM or experts’ beliefs and the impact-diagraph-map can be provided by mapping the data set of(D+R,D-R). D+R and D-R are reflected by the horizontal and vertical axis, respectively.Figure 2
An influence map.DEMATEL is applied in this paper as an efficient method in order to build a structural model and visualize the causal relationship of subsystems through a causal diagram. The criteria with higher priorities can be isolated to be utilized in further studies aiming to evaluate different systems. However, as the linguistic judgments are fraught with different uncertainties and vagueness, it is required to consider the ambiguities. Accordingly, it is needed to integrate the DEMATEL method with fuzzy logic.


## 2.3. Fuzzy DEMATEL

The implementation of fuzzy DEMATEL has been discussed in this section. In fact, it is needed to determine how to practice the imprecision of given judgments in the decision-making process. To do so, an efficient fuzzy aggregation method should be utilized. Likewise, it is required to use a tailored defuzzification method so that a fuzzy number can be well characterized by its shape, spread, height, and relative location on thex-axis [22]. Here, we have used the converting fuzzy data into crisp scores (CFCS) defuzzification method as the fuzzy aggregation procedure. The adoption can be justified as the CFCS method can provide a better crisp value than other similar methods (e.g., the centroid method). The procedure of CFCS method proposed by Opricovic and Tzeng [22] is such that the left and right scores are taken into account by fuzzy min and fuzzy max, and a weighted average value is obtained as the total score with respect to the membership functions. Let us suppose that z~ijk=(lijk,mijk,rijk) stands for fuzzy assessments of evaluator k(k=1,2,…,p) about the degree to which the criterion i influences over criterion j. The adopted method consists of a five-step algorithm, described as follows.(1)
Normalization:(6)xlijk=(lijk-minlijk)Δminmax,xmijk=(mijk-minlijk)Δminmax,xrijk=(rijk-minlijk)Δminmax,in whichΔminmax=maxrijk-minlijk.
(2)
Calculate left (ls) and right (rs) normalized values:
(7)xlsijk=xmijk(1+xmijk-xlijk),xrsijk=xrijk(1+xrijk-xmijk).
(3)
Calculate total normalized crisp value:(8)xijk=[xlsijk(1-xlsijk)+xrsijkxrsijk][1-xlsijk+xrsijk].
(4)
Calculate total normalized crisp value:(9)zijk=minlijk+xijkΔminmax.
(5)
Integrate the crisp values:(10)zij=1p(zij1+zij2+⋯+zijp).Finally, Table2 can be applied in order to transform the aforementioned linguistic terms into positive TFNs (lij,mij,rij).Table 2
Fuzzy linguistic scale.
Linguistic terms
TFNs
No influence
(0, 0, 0.25)
Very low influence
(0, 0.25, 0.5)
Low influence
(0.25, 0.5, 0.75)
High influence
(0.5, 0.75, 1.0)
Very high influence
(0.75, 1.0, 1.0)


## 3. Case Study and Findings

As stated earlier, it is important to investigate the amount of influence a given criterion practices over another one and vice versa. Hence, DEMATEL method could be suggested as an appropriate approach capable of highlighting the most influencing risk factors. This section aims at taking a typical instance into account to extract the most crucial factors from the ones proposed by Xiwei et al. [1].In the first step,C1,C2,…,C8 are applied representing the aforementioned risk types, respectively. The opinions of a set of experts were gathered through the prepared questionnaires in order to receive the judgments. Typically, the assessment data of a given expert is shown in Table 3. Afterwards, the initial direct-relation matrix is determined regarding the whole experts’ opinions by (6)–(10), shown in Table 4. The normalized direction-relation matrix is then produced through (3), illustrated in Table 5. Finally, total-relation matrix is obtained using (4), shown in Table 6. Moreover, (D-R) and (D+R) values are computed in order to achieve the impact-diagraph-map.Table 3
The assessment data of the risk types.
C1
C2
C3
C4
C5
C6
C7
C8
C1
No
VH
VL
H
H
VH
L
L
C2
H
No
VL
VL
VL
H
VL
No
C3
No
L
No
VH
H
H
No
H
C4
L
No
VL
No
VH
H
VL
L
C5
No
H
L
VH
No
H
No
VL
C6
VL
L
VL
L
L
No
VL
VL
C7
H
VL
VL
VH
VL
L
No
H
C8
H
L
H
L
No
L
L
NoTable 4
The initial direct-relation matrix.
C1
C2
C3
C4
C5
C6
C7
C8
C1
0.000
0.775
0.517
0.767
0.794
0.812
0.574
0.630
C2
0.652
0.000
0.372
0.514
0.488
0.693
0.520
0.205
C3
0.191
0.578
0.000
0.749
0.740
0.675
0.241
0.588
C4
0.457
0.266
0.414
0.000
0.652
0.686
0.319
0.480
C5
0.276
0.785
0.550
0.864
0.000
0.643
0.177
0.284
C6
0.418
0.488
0.319
0.376
0.406
0.000
0.472
0.557
C7
0.706
0.288
0.518
0.682
0.507
0.546
0.000
0.633
C8
0.624
0.434
0.699
0.422
0.206
0.440
0.395
0.000Table 5
The normalized direct-relation matrix.
C1
C2
C3
C4
C5
C6
C7
C8
C1
0.00000
0.15917
0.106182
0.157527
0.163072
0.166769
0.117889
0.12939
C2
0.133908
0.00000
0.076402
0.105566
0.100226
0.142329
0.106798
0.042103
C3
0.039228
0.11871
0.00000
0.15383
0.151982
0.138632
0.049497
0.120764
C4
0.093859
0.054631
0.085028
0.00000
0.133908
0.140891
0.065517
0.098583
C5
0.056685
0.161224
0.11296
0.177449
0.00000
0.13206
0.036352
0.058328
C6
0.085849
0.100226
0.065517
0.077223
0.083385
0.00000
0.09694
0.114397
C7
0.144999
0.05915
0.106387
0.14007
0.104128
0.112138
0.00000
0.130006
C8
0.128158
0.089135
0.143561
0.086671
0.042308
0.090368
0.081125
0.00000Table 6
The total-relation matrix.
C1
C2
C3
C4
C5
C6
C7
C8
D
D  +  R
D  −  R
C1
0.00000
0.07846
0.045032
0.08694
0.08311
0.09622
0.04435
0.05723
0.4913
0.7227
0.2600
C2
0.04817
0.00000
0.023977
0.04281
0.03692
0.06392
0.03203
0.01219
0.2600
0.5476
−0.0275
C3
0.01130
0.04503
0.00000
0.06986
0.06324
0.06319
0.01260
0.04335
0.3085
0.5516
0.06551
C4
0.02897
0.01653
0.026219
0.00000
0.05025
0.05995
0.01633
0.03155
0.2298
0.6356
−0.176
C5
0.01663
0.064984
0.038659
0.08181
0.00000
0.05821
0.00865
0.01735
0.2863
0.6009
−0.0283
C6
0.02526
0.03234
0.01829
0.02655
0.0264
0.00000
0.02591
0.0365
0.1913
0.6193
−0.2366
C7
0.05728
0.02071
0.03938
0.06555
0.0417
0.05142
0.00000
0.0509
0.3270
0.4885
0.1654
C8
0.04369
0.02952
0.05150
0.03228
0.01292
0.03507
0.02163
0.00000
0.2266
0.4757
−0.0224
R
0.23133
0.28760
0.24308
0.40582
0.31463
0.42799
0.16153
0.24913On the other hand, from the causal diagram depicted in Figure3, it can be induced that policy risk (i.e., C1) is the most crucial influencing criterion as it possesses the highest intensity of relationship to others (the issue can be investigated through the obtained values of D-R measure). Consequently, it can be taken into consideration as the key risk criterion and factor in risk mitigation of the KNs. Likewise, the knowledge asset risk and culture risk are selected as the key risk factors with respect to the obtained strategy map. Moreover, it is needed to decide on the appropriate threshold so that the factors can be picked out that have the minimum amount of influence over the others. Those relations whose values are above the predefined threshold determine how a given factor affects or is affected by the other ones. Here, the threshold has been set equal to 0.05. Market risk, knowledge risk, cooperative risk, contractual risk, and talent risk are also identified as the effects regarding the causal diagram.Figure 3
The causal diagram.


## 4. Conclusions

KNs have been concentrated within the last years as efficient sources of transforming the knowledge into the commercial products. They can play a significant role in satisfaction of the customers’ expectations, in addition to the knowledge flow preservation along with the chain. However, the KNs may be threatened by different sets of risk factors. Hence, it is required to address the most influencing risk types so that the preventive and modification actions can be performed appropriately. This paper took the risk evaluation of such networks into account by DEMATEL and used fuzzy set theory in order to incorporate imprecise judgment possibility according to linguistic comparisons. According to the prepared opinions of experts, Policy risk, knowledge asset risk, and culture risk were determined as the most crucial factors affecting the knowledge network.Regarding the bare literature of the problem, we sought to develop a risk evaluation framework in a fuzzy environment. Therefore, the proposed framework may have some flaws which could be enhanced in further studies. From the view point of further studies, the investigation of the problem with respect to the three aforementioned levels in greater details can be a research direction. Furthermore, the configuration of the network can be regarded with respect to the risk sources as another future research interest. This issue can be taken into account for the circumstances in which it is required to determine the most appropriate members of the networks such that the configuration is exposed to the least possible amount of threat.



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*Source: 913467-2013-12-16.xml*