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Article

Evaluation of Driver Behavior Criteria for Evolution of Sustainable Traffic Safety

Department of Transport Technology and Economics, Budapest University of Technology and Economics, Stoczek u. 2, H-1111 Budapest, Hungary
*
Author to whom correspondence should be addressed.
Sustainability 2019, 11(11), 3142; https://doi.org/10.3390/su11113142
Submission received: 5 May 2019 / Revised: 29 May 2019 / Accepted: 30 May 2019 / Published: 4 June 2019
(This article belongs to the Special Issue Sustainable Transportation for Sustainable Cities)

Abstract

:
Driver behavior has been considered as the most influential factor in reducing fatal road accidents and the resulting injuries. Thus, it is important to focus on the significance of driver behavior criteria to solve road safety issues for a sustainable traffic system. The recent study aims to enumerate the most significant driver behavior factors which have a critical impact on road safety. The well-proven Analytic Hierarchy Process (AHP) has been applied for 20 examined driver behavior factors in a three-level hierarchical structure. Linguistic judgment data have been collected from three nominated evaluator groups in order to detect the difference of responses on perceived road safety issues. The comparison scales had been averaged prior to computing the weights of driver behavior factors. The AHP ranking results have revealed that most of the drivers are most concerned about the “Errors”, followed by the “Lapses” for the first level. The highest influential sub-criteria for the second level is the “Aggressive violations” and for the third level, the “Drive with alcohol use”. Kendall’s rank correlation has also been applied to detect the agreement degree among the evaluator groups for each level in the hierarchical structure. The estimated results indicate that road management authorities should focus on high-rank significant driver behavior criteria to solve road safety issues for sustainable traffic safety.

1. Introduction

More than 1.25 million people die each year as a result of road traffic crashes [1]. European roads have been observed as the safest in the world with a 19% decrease in road fatalities over the last six years. While achieving the strategic target of halving the number of road deaths between 2010 and 2020, which is still an extreme challenge, it is worth trying to save every single life [2]. The Road Safety Action Program (2014–2016) was integrated into the Hungarian Transport Strategy which also sets targets to reduce the number of road fatalities by 50% between 2010 and 2020 [3]. However, according to Hungarian Central Statistical office data, there were 625 road fatalities in 2017, a 2.9% rise when compared to 2016 [4].
The situation analysis of the Road Safety Action Program observes that most of the accidents are caused by human factors, therefore influencing them becomes the most important goal of road safety actions [3]. The NHTSA’s 2008 [5] report specified that human error is the critical reason for 93% of crashes.
In the scientific literature, most commonly the Driver Behavior Questionnaire (DBQ) has been used as a tool for examining the drivers to rate the significance of risk-elevating behaviors committed while driving. The Driver Behaviour Questionnaire (DBQ) was developed by Reason et al. [6] and refined by Parker et al. [7]. A structure comprised of slips/lapses, errors, ordinary violations, and aggressive violations has been broadly simulated, although the distinction between ordinary and aggressive violations is not always obtained at the factor or component level. Overall, the original three or four-factor (errors, lapses, aggressive and ordinary violations) structure has been broadly replicated in studies conducted in the UK [8,9,10,11].
Human behavior is considered as the most critical factor that affects road safety. Driver behavior identification and categorization plays a key role to reduce fatal road accidents and injuries [12,13]. Driving on urban roads requires full attention because of the complex driving operations that need a critical decision-making process in order to identify the risk factors for road safety. Most of the papers in the scientific literature in this area focused on statistical analysis based on driver response data, such as Refs. [14,15,16,17], but these papers lack a study regarding the decision of the most significant driver behavior criteria affecting road safety. The current study examined the important driver behavior factors affecting road safety through Analytic Hierarchy Process (AHP) to assist drivers for safe movements on the roads and to improve the sustainable level of traffic safety. AHP’s application has been utilized very little in the traffic safety approach. Therefore, we applied the AHP method to identify and prioritize the most significant driver behavior factors to solve road safety issues. The Analytic Hierarchy Process (AHP) is the most useful technique to solve complex problems [18] like critical driver behavior evaluation among different evaluator groups from different perspectives.
The novelty of this paper is that an MCDM methodology, the Analytic Hierarchy Process, has been applied, thus the problem is considered as a decision support case using expert knowledge and preferences. The present study demonstrates an integrated model to highlight the most critical driver behavior factors related to road safety; the presented model is comprised of the Analytical Hierarchy Process (AHP) method along with Kendall’s coefficient of concordance correlation. To better understand the significance of the driver behavior for sustainable traffic safety, the study analyzed 20 hypothetical most critical factors. A comprehensive AHP approach was employed to assign weights to each examined factor and enumerate the relative importance of each factor. For aggregation, the geometric mean technique was conducted to get a general assessment for all groups on perceived road issues. Further, Kendall’s coefficient of concordance was employed to estimate the agreement degree among evaluator groups for each level. The study recommends that the high ranked risky driver behavior factors should be more focused to solve road safety issues.

Driver Behavior Criteria

Human factors have the most considerable impact on accident risk. Several studies focused on the fundamental factors solely related to road safety [19]. Many researchers and practitioners proved that the deviant behavior of a road user that differs from normal practices increases the risk of traffic crashes [20]. The aim of our paper is to signify the most critical driver behavior factors related to road safety.
The current research structured the significant driver behavior items into three levels in the designed hierarchical model. The first level included three main driver behavior criteria such as “Lapses”, “Violations” and “Errors”. The second level involved the distribution of these main driver behavior criteria into the related sub-criteria. Subsequently, the third level accessed the further distribution of two sub-criteria such as ordinary and aggressive violations into relevant sub-criteria. For the commencement of the study, the following hierarchical structure was created by the authors as shown in Figure 1.
Participants were asked to indicate how often they committed each of the examined driver behaviors in the previous year using Saaty’s traditional ratio scale (1–9). A summary of 20 examined driver behavior factors affecting road safety is presented in Table 1, which are grouped into three levels based on their properties and attributes. Table 1 also provides the description of each factor, abbreviations and the related references.

2. Materials and Methods

As discussed in the introduction, it is important for AHP to solve road safety issues for sustainable traffic safety; thus, we applied the Analytic Hierarchy Process (AHP) for the assessment of nominated driver behavior criteria affecting road safety. The primary step of the methodology was to construct a hierarchy structure for the driver behavior criteria and sub-criteria. A driver behavior questionnaire survey was used as a tool to collect driver behavior data from three driver evaluator groups. Furthermore, the procedure involved to construct the pairwise comparison matrix (PCM) of criteria and scale the matrix based on relative scale measurement. After the measurement of the eigenvector of the criterion, the consistency ratio was computed. The next step was to calculate the composite priority (overall weights in the entire hierarchy). The last step was to rank the alternatives for each level and detect the agreement level among the evaluator groups. Finally, the overall rank for each criterion for all evaluator groups was highlighted by implementing the geometric mean technique.

2.1. Sample Characteristics

The AHP questionnaire survey was designed to enumerate the driver behavior factors associated with road safety. The questionnaire was used as a tool in a personal interview with three car driver groups in Budapest city, Hungary. The first driver group (Group A) contained foreign divers having a Hungarian driver license with considerable driving experience. It was noted that significant regional differences exist, reflecting perhaps the individualities related to the mentality and history of each region; these differences should play an important role in planning safety campaigns and policies [39]. Foreign drivers in Hungary were observed to have a specific behavior such as failing to yield to the person on your right, which is a cause of accidents. A driver’s license can be issued to foreign citizens in Hungary who have stayed for 6 months in Hungary before the issuance of the driver’s license. The second group (Group B) involved experienced drivers with high driving experience. It was observed in a study that increasing driving experience and exposure to traffic increases the level of driving skills with less traffic violations and accidents [40]. The third group (Group C) included young drivers with less driving experience. Young people are overrepresented in traffic crashes, with most of the drivers being young men [41,42,43]. The study was illustrated for 35 randomly selected participants for each group. These participants were sought to provide linguistic judgement data based on the AHP questionnaire.
The questionnaire survey was based on two parts: The first part aimed to collect demographic data about the participants and results were tabulated in Table 2. The results showed the mean and standard deviation (SD) values of each observed characteristics. We used digits (1, 0) for statistical evaluation purpose to describe some characteristics such as gender and driver occupation. Moreover, the important noticeable results are that group A contained foreign drivers which have a mean value of 1 for gender which means that they are all males. Also, group B contained experienced drivers which have a mean value of 1 for driver occupation which means that they all have jobs. The importance of selected groups for analysis has been discussed in the above paragraph. The second part aimed to explore and study the driver behavior criteria for road safety as discussed in the results and discussion section.

2.2. Pairwise Comparison (PC)

The experts estimated the relative measurement between the criteria and the alternatives using pairwise comparison (PC) proposed by Saaty in 1977 [44]. The questionnaire survey was arranged according to the PCM-s, and binary comparisons were performed from decision options for examined criteria. In creating a binary comparison matrix, each element weight was compared with another element in the structure using Saaty’s eigenvector method. The principal eigenvector of the matrix exhibited the maximum eigenvalue of six which is the biggest matrix in the hierarchical structure as presented in Table 3. It is obvious that this can be extended to any size-consistent PCM. Thus, the principal eigenvector of consistent PCM-s can be easily calculated [45] and characterizes the matrix elements perfectly. However, in AHP, the evaluators most likely do not evaluate PCM-s consistently by the provided Saaty-scale (Table 4), a judgment from the scale is a ratio indicating how many times the dominant factor is more important than the dominated one.
For experiential PCM-s: reciprocity is indeed fulfilled for every PCM,
x j i = 1 / x i j
where x i i = 1 provided. However, the consistency is most likely not fulfilled for empirical matrices. The consistency criterion:
x i k =   x i j . x j k
Participants were asked to indicate how often they committed each of the examined driver behavior factors based on a Saaty scale as shown in Table 4.

2.3. The AHP Approach

The analytic hierarchy process (AHP) is a mathematical device in multi-criteria decision making which designs the decision factors in a hierarchic problem structure [46]. AHP was widely used to make efficient and effective decisions for decision-making problems for multiple fields like civil engineering, transport engineering and industrial engineering [47,48,49,50]. The AHP method helps the analyst not only to identify the key factors, but also to determine the allocation of resources and consider different tangible and non-tangible preferences. By using AHP, decisions can be made using weights based on subjective pairwise relative comparisons through multilevel hierarchical structures. AHP is a systematic and comprehensive method to solve multi-criteria decision problems and avoid inconsistencies in the decision-making process. The use of the application is illustrated below.
Despite the empirical matrices filled by the evaluators are generally not consistent, in the eigenvector method the calculation of the eigenvector coordinates is the same as for consistent matrices. Because of this, Saaty invented the consistency check in AHP that ensures that all matrices meet the consistency criterion of acceptable inconsistency.
CI =   λ max m m 1
where CI is the Consistency Index and λ m a x is the maximum eigenvalue of the PCM, while, m represents the number of rows in the matrix. However, CR can be determined by the following equation:
CR = CI/RI
where RI is the average CI value of randomly generated PCM of the same size (Table 5).
In the AHP method, the acceptable value of Consistency Ratio (CR) is CR < 0.1.
In the first level of the structured hierarchical model, the elements of c 12 ,   c 13 ,   c 23 were filled by the different evaluator groups in order to compare among C1, C2 and C3.
The evaluators filled total matrices in such a way: four (3 × 3) matrices (one (3 × 3) matrix in level 1 + 2 (3 × 3) matrices in level 2 + one (3 × 3) matrix in level 3) as shown in Table 6, one (2 × 2) matrix in level 2 as shown in Table 7, and one (6 × 6) matrix in level 3 as shown in Table 8.
The constructed PC of the m × m matrix A corresponding to the eigenvalue λ max of A is the set of all eigenvectors of A corresponding to λ max .
If A is a consistent square matrix, then the equivalent equation in standard form will be
Aw =   λ max   w
The eigenvectors make up the null space of ( A     λ max   . I )   . When we know the maximum eigenvalue λ max of the consistent matrix A , the eigenvector could be found
A w   λ max   w = 0     A w   λ max   . I .   w = 0   ( A     λ max   . I )   w = 0
For aggregating the evaluators’ answers, the most popular aggregation procedure for the geometric mean was employed [51]. If “h” evaluators take part in the procedure, an aggregated matrix is to be created as:
A = [ k = 1 n x i j k   h ]   i , j = 1 , , m
where x i j k denotes entries, in the same position ( i ,   j ), of PCM-s, filled in by the k -th evaluators.
Afterwards, the right-side eigenvector is to be computed by Equation (7) for the aggregated matrices, and final weight scores are gained by multiplying the eigenvector coordinates with the respective coordinates from the previous level of the hierarchy.
Sensitivity analysis enables in understanding the effects of changes in the main criteria on the sub-criteria ranking and helps the decision maker to check the stability of results throughout the process.

2.4. Kendall’s Agreement Test

The need of ranking the factors is very familiar in management, engineering, education, medicine, finance, and politics, in which cases new products, new positions, new elections public or private services are ranked by the public, experts and decision makers [52,53,54]. However, the natural question is how much the given rankings are in concordance with different groups. To answer this question, the well-known measure, Kendall’s coefficient of concordance (W), was proposed by Kendall and Smith in 1939 [55]. W is a normalization of the statistic of the Friedman test, which is considered as a non-parametric statistic technique and can be used for a set of criteria to highlight the agreement level among different raters [56]. For the current study, the authors used Kendall’s W technique to highlight the agreement degree (the concordant degree) between the different driver groups for each level in the hierarchal structure. Kendall’s concordance degree (W) ranges from 0 (no agreement) to 1 (complete agreement), however, the values’ interpretations between 0 and 1 are presented in Table 9.
The calculation process starts by aggregating the ranking of the factor i throw the following equation:
R i =   j = 1 n r i j  
where R i is the aggregated ranking of the factor i, r i j is the rank given to factor i by the evaluator group j, and n is the number of rater groups rating m factors.
Then, calculating R , which is the mean of the R i values.
R = n ( m + 1 ) 2
K =   i = 1 n ( R i R ) 2
where K is the sum-of-squares statistic deviations over the row sums of ranking R i .
Following that, Kendall’s “W” statistic is between (0 and 1), and it can be obtained from the following equation:
W =   12   K n 2   ( m 3 m )
After implementing the equation, the outcome will estimate the concordance degree among the different rater groups.

3. Results

The AHP method determined the degree of importance of driver behavior criteria for road safety based on the responses of the evaluator groups for each level. The entire selected criteria and sub-criteria were compared with each other by PCs. The significance of driver behavior criteria related to road safety was computed by using AHP procedures in the first model of study. For the first level, the AHP results revealed the same ranking for driver behavior criteria evaluated by group B and group C. The results showed that group B and group C evaluated the lapses (C2) as the first ranked criteria followed by errors (C3) based on weight scores as shown in Table 10. The previous study results also observed lapses as the significant driver behavior factor reported by Qatari drivers [26], while group A evaluated errors (C3) as the most important criteria followed by violations (C1) as shown in Table 10.
The AHP approach also measured priority ranking criteria by the evaluator groups for level 2 as shown in Table 11. The results highlighted the fail to apply brakes in road hazards (C33) as the most critical factor by group A. The results showed that aggressive violation (C12) was the most important criteria by evaluator group B, and ordinary violation (C11) was the last-ranked criteria. The results also evaluated that driver inattention (C21) was the first ranked criteria by evaluator group C, while the ordinary violation (C11) was the last ranked criteria in this level.
At the third level, the situation was similar among groups, in which the drive with alcohol use (C126) was enumerated the most significant factor by all three groups. According to Hungarian driving laws, there is zero tolerance policy towards drinking and driving [1]. Also, disobey overtaking rules (C125) was ranked as fourth important criteria for all groups as shown in Table 12.
Kendall’s coefficient of concordance (W) value was measured for assessing agreement degree among raters for each level in the second model of study. The concordance value (W = 0.3333) for level 1 showed that there was low agreement between criteria as shown in Table 13. The main driver behavior criteria elements differ from each other due to their original categorization characteristics. However, if we eliminate group A, we can see that the other two groups have a perfect agreement.
The Kendall’s coefficient of concordance (W) value was measured for the second level also. The concordance value (W = 0.5185) showed that there was medium agreement between criteria in this level as shown in Table 14. The subfactors in level 2 have some similar influential characteristics for road safety.
The Kendall’s coefficient of concordance (W) value was also measured for the third level as well. The concordance value (W = 0.7852) showed that there was high agreement between the criteria ranking for level 3 as shown in Table 15. The subfactors in level 3 are originally types of main category “violations”, so these factors have a high connection.
Predominantly, the preferences among the different groups are quite significant. In the research, a well-known technique was proposed to get a consensual overview for the most important factors considering all participants’ points of view as shown in Table 16. The final overall ranking of driver behavior criteria was measured based on the examined driver group responses using AHP procedures. The geometric mean technique was implemented to get the consensual scores for all evaluator groups.
The results of the overall rank for the first level illustrated that errors (C3) was the most significant criteria with the highest score (0.34812194) followed by the lapses (C2) with a score of (0.33200763). Parker et al. [10] also stated that errors and lapses were more of a concern among the elderly. The results found violations (C1) as the last ranked criteria by the evaluator groups as shown in Table 17.
The overall ranks of subfactors for the second level showed that the aggressive violation (C12) was the most significant subfactor with the highest score (0.27845799) followed by the fail to apply brakes in road hazards (C33) with a score of (0.22314083). The results also showed the last-ranked subfactor ordinary violations (C11) with the lowest score (0.0414) as shown in Table 18.
The overall ranks of subfactors for level 3 showed that drive with alcohol use (C126) was the most significant subfactor with the highest score (0.12868307) followed by disobey traffic lights (C123) and the fail to yield pedestrian (C122). The results also revealed that frequently changing lanes (C113) was the last ranked subfactor with the lowest score (0.01043171) as shown in Table 19.

4. Advantages and Limitations of Using AHP in Road Safety

Although AHP technique is more than three decades old, the facts of flexibility and robustness result in its extensive application in many fields. AHP is an efficient and comprehensive method to solve multi-criteria decision issues and avoid inconsistencies in the decision-making process [57]. The AHP application enables the decision-makers to better understand the complex relationships of the significant driver behavior factors related to road safety in the decision-making which helps in subsequently improving the reliability of decisions for sustainable traffic safety. However, the AHP method creates and deals with a very unbalanced scale of judgment and it does not consider the uncertainty associated with the mapping of human judgment to a number by natural language [58]. Moreover, the fuzzy AHP has been considered a more advanced technique to get more robust results, where the fuzzy AHP reflects more reality because of using the fuzzy numbers in evaluating the questionnaire survey.

5. Conclusions

The significance of driver behavior elements determining road safety is crucial and difficult to assess. The main contribution of this study is the combined use of popular multicriteria methods for ranking and prioritizing the critical driver behavior criteria and not applying statistical data analysis. It must be stressed that the introduced model does not substitute the statistical calculations, but it is well applicable for amending them by human knowledge acquisition. As presented, the AHP has been used to reflect choices based on the evaluator groups, while Kendall’s degree of correlation has been applied to estimate the correlation among the examined groups based on perceived road safety issues. This combined process can serve as a supporting tool for assisting the decision makers to prioritize the important driver behavior criteria for the application of efficient and sustainable traffic safety system.
The main novelty of this paper is to identify and quantify the significant driver behavior criteria in Budapest city using the pairwise comparison method of AHP. The AHP study results found the “Lapses” as the most significant driver behavior criteria based on the evaluation of young drivers and experienced drivers’ responses on perceived road safety issues, while the foreign drivers evaluated the “Errors” as the most significant criteria affecting road safety. The overall results for the first level also showed the higher ranks for “Errors” and “Lapses” as compared to “Violations”. The final AHP results for sub-criteria have crucial considerations in the study. The overall results in the second level determined that “Aggressive violation” was the most critical sub-criteria and “Ordinary violation” was the last-ranked sub-criteria. Also, for the third level, the “Drive with alcohol use” was the most significant sub-criteria and “Frequently changing lanes” was the last-ranked sub-criteria. Kendall correlation method determined the correlation between rater groups for examined driver behavior criteria for each level. This correlation was higher among evaluator groups at the third level as compared to other levels.
In summary, the objective of this study is to help the motor community by shining the light on the most significant driver behavior factors which may lead to road safety issues. The findings suggest that there is a need to focus on specific driver behavior factors in the planning of road safety campaigns or education courses to improve the risk perception and critical driving behaviors among different driver groups. Linkage of the research data with traffic management agencies and transport authorities could help to adopt effective road safety strategies and improve the sustainable level of traffic safety. This research evaluation could also be further used to compare the estimated significant driver behavior factors based on dynamic analysis and road crashes involved in driver behavior factors based on statistical analysis.

Author Contributions

Conceptualization, D.F. and S.M.; methodology, S.M. and S.D.; validation, S.M.; data curation, D.F.; writing—original draft preparation, D.F. and S.M.; writing—review and editing, D.F. and S.D.

Funding

This research received no external funding.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. The hierarchical structure of the driver behavior criteria.
Figure 1. The hierarchical structure of the driver behavior criteria.
Sustainability 11 03142 g001
Table 1. Presentation of driver behavior factors and abbreviations.
Table 1. Presentation of driver behavior factors and abbreviations.
Driver Behavior FactorsImportance for Road Safety
Level 1Violations (C1)Road Traffic Violations (RTVs) are the most critical that cause certain risk to other road users [21]
Lapses (C2)Lapses were noticed as a predictor in accident involvement among other predictors in a Qatar-based study [22]
Errors (C3)It has been argued that both driving errors and driving style are correlates of crash involvement [23]
Level 2Ordinary violations (C11)The study results also confirm the importance of ordinary violations as a correlate of crash involvement [23]
Aggressive violations (C12)Aggressive violations were significant correlates of crash involvement but with strong connection with ordinary violations [24]
Driver inattention (C21)Klauer et al. (2006) determined that approximately 25–30% of traffic conflicts are related to driver inattention but argued that the true involvement of inattention may be as high 70% [25]
Pull away from traffic lights in wrong gear (C22)The UK-based study identified “Pull away from traffic lights in wrong gear” as aberrant driver behavior [26]
Hit something when reversing that hadn’t seen (C23)“Hit something when reversing that hadn’t seen” was loaded highest with one other factor in factor analysis [27]
Visual perception failure (C31)Perception failure (both on the part of the rider and other road users) was examined as the most common factor in crashes [28]
Visual scan wrongly (C32)Wide visual scanning is an important element of safe driving [29]
Fail to apply brakes in road hazards (C33)“Hazard-based duration model” was developed to investigate the effects of vehicle dynamic variables on a driver’s braking behavior [30]
Level 3Fail to use personal intelligence (C111)Intelligent transport system is helping to change the safety focus from minimizing the consequences of crashes [31]
Fail to maintain safe gap (C112)Gap-acceptance was found as one of the most important factors of traffic safety at intersections [32]
Frequently changing lanes (C113)Risk exposure level specifies how long a subject vehicle is exposed to a hazardous situation that could possibly lead to a crash while making a lane change [33]
Disobey speed limits (C121)Speeding is one of the serious and most common aberrant driving behaviors that negatively affect the safety of the violators themselves and the whole motorized community [34]
Fail to yield pedestrian (C122)In terms of contributing factors, 14.2% of fatalities were attributed to failure to yield right of way at the crossing [5]
Disobey traffic lights (C123)One of the possible causes for the high number of crashes and injuries is due to beating traffic lights [35]
No deterrence of punish (C124)A 2016 meta-analysis indicated that fine increases between 50 and 100% are associated with a 15% reduction in traffic violations [36]
Disobey overtaking rules (C125)It was analyzed that dangerous overtaking accounted for 41% of all drivers who died in traffic in 2006 [37]
Drive with alcohol use (C126)Even with a small amount of alcohol consumption, drivers are twice likely to be involved in traffic accidents than sober drivers [38]
Table 2. Demographic characteristics of participants.
Table 2. Demographic characteristics of participants.
VariablesGroup AGroup BGroup C
N353535
Age
Mean32.24638.27421.635
SD5.6413.6722.737
Gender (1 = male, 0 = female)
Mean1.00.8830.785
SD0.00.3530.317
Driving Experience
Mean3.52317.3261.852
SD2.7212.7141.041
Driver Occupation
(1 = job, 0 = student)
Mean0.9121.00.361
SD0.5420.00.648
Table 3. The structure of (6 × 6) consistent theoretical PC matrices.
Table 3. The structure of (6 × 6) consistent theoretical PC matrices.
w 1 / w 1 w 1 / w 2 w 1 / w 3 w 1 / w 4 w 1 / w 5 w 1 / w 6
w 2 / w 1 w 2 / w 2 w 2 / w 3 w 2 / w 4 w 2 / w 5 w 2 / w 6
w 3 / w 1 w 3 / w 2 w 3 / w 3 w 3 / w 4 w 3 / w 5 w 3 / w 6
w 4 / w 1 w 4 / w 2 w 4 / w 3 w 4 / w 4 w 4 / w 5 w 4 / w 6
w 5 / w 1 w 5 / w 2 w 5 / w 3 w 5 / w 4 w 5 / w 5 w 5 / w 6
w 6 / w 1 w 6 / w 2 w 6 / w 3 w 6 / w 4 w 6 / w 5 w 6 / w 6
Table 4. Saaty’s judgment scale of relative weight score of criteria [44].
Table 4. Saaty’s judgment scale of relative weight score of criteria [44].
Numerical ValuesExplanation
1Two factors contribute equally
3Experience and judgment favor one factor over another
5A factor is strongly favored
7A factor is very strongly dominant
9A factor is favored by at least an order of magnitude
2, 4, 6, 8Used to compromise between two judgments
Table 5. RI indices from randomly generated matrices.
Table 5. RI indices from randomly generated matrices.
m12345678910
RI000.580.91.121.241.321.411.451.49
Table 6. The constructed PC matrix for Level 1.
Table 6. The constructed PC matrix for Level 1.
L 1 C 1 C 2 C 3
C 1 c 11 c 12 c 13
C 2 c 21 c 22 c 23
C 3 c 31 c 32 c 33
Table 7. The constructed PC matrix for Level 2.
Table 7. The constructed PC matrix for Level 2.
L 2 C 1 C 11 C 12
C 11 c 111 c 121
C 12 c 211 c 222
Table 8. The constructed PC matrix for Level 3.
Table 8. The constructed PC matrix for Level 3.
L 1 C 12 C 121 C 122 C 123 C 124 C 125 C 126
C 121 c 1112 c 1212 c 1312 c 1412 c 1612
C 122 c 2112 c 2212 c 2312
C 123 c 3112 c 3212 c 3312
C 124 c 4112
C 125
C 126 c 6612
Table 9. Kendall’s W agreement degree scale [55].
Table 9. Kendall’s W agreement degree scale [55].
Correlation CoefficientInterpretation
1Perfect agreement
0.9–1very high agreement
0.7–0.9High agreement
0.4–0.7Medium agreement
0.2–0.4Low agreement
0–0.2very low agreement
0No agreement
Table 10. Different priority ranking of criteria by evaluator groups for Level 1.
Table 10. Different priority ranking of criteria by evaluator groups for Level 1.
CriteriaGroup AGroup BGroup C
WeightRankWeightRankWeightRank
C10.4062310720.3022745230.222022053
C20.1573400130.3604544710.539418681
C30.4364289210.3372710120.238559272
Table 11. Different priority ranking of criteria by evaluator groups for Level 2.
Table 11. Different priority ranking of criteria by evaluator groups for Level 2.
CriteriaGroup AGroup BGroup C
WeightRankWeightRankWeightRank
C110.0500634760.035109270.033083497
C120.3561676170.2671653210.188938552
C210.0746462530.1297936940.28250731
C220.0149935780.0537539160.092305745
C230.0677001940.1769068730.164605643
C310.0652273550.0712955350.031896288
C320.1030759820.0314717180.076902736
C330.2681255810.2345037720.129760264
Table 12. Different priority ranking of criteria by evaluator groups for Level 3.
Table 12. Different priority ranking of criteria by evaluator groups for Level 3.
CriteriaGroup AGroup BGroup C
WeightRankWeightRankWeightRank
C1110.0195807680.0070581490.012653837
C1120.0228096960.0182804360.007219859
C1130.0076730190.0097706380.013209815
C1210.0245351250.0099046170.010762748
C1220.0553690820.0460339930.012811676
C1230.0549339130.0567464320.039213862
C1240.0214817670.018581750.015462323
C1250.0424367940.0286381740.013229634
C1260.1574109510.1072604210.097458341
Table 13. Kendall’s coefficient of concordance (W) result-based priority ranking of criteria for Level 1.
Table 13. Kendall’s coefficient of concordance (W) result-based priority ranking of criteria for Level 1.
CriteriaRank of Group ARank of Group BRank of Group C R i   ( R i R ) 2
C123384
C231151
C312251
m = 3n = 3K = 6 R = 6W = 0.3333
Table 14. Kendall’s coefficient of concordance (W) result-based priority ranking of criteria for Level 2.
Table 14. Kendall’s coefficient of concordance (W) result-based priority ranking of criteria for Level 2.
CriteriaRank of Group ARank of Group BRank of Group C R i ( R i R ) 2
C116772042.25
C127121012.25
C21341830.25
C228651930.25
C234331012.25
C315581820.25
C32286166.25
C33124742.25
m = 8n = 3K = 196 R = 13.5W = 0.5185
Table 15. Kendall’s coefficient of concordance (W) result-based priority ranking of criteria for Level 3.
Table 15. Kendall’s coefficient of concordance (W) result-based priority ranking of criteria for Level 3.
CriteriaRank of Group ARank of Group BRank of Group C R i ( R i R ) 2
C1118972481
C1126692136
C1139852249
C1215782025
C1222361116
C123322764
C124753150
C125444129
C1261113144
m = 9n = 3K = 424 R = 15W = 0.7852
Table 16. Overall (consensual) scores.
Table 16. Overall (consensual) scores.
Level 1Level 2Level 3
Driver Behavior CriteriaC1C11
C10.31987043C110.12946629C1110.37962049
C20.33200763C120.87053371C1120.36848157
C30.34812194C2C1130.25189794
C210.29480108C12
C220.27123868C1210.05407275
C230.41039785C1220.12394574
C3C1230.19138464
C310.16303663C1240.06989651
C320.19597869C1250.09857295
C330.64098467C1260.46212741
Table 17. Overall priority ranking of criteria for level 1 considering all evaluator groups.
Table 17. Overall priority ranking of criteria for level 1 considering all evaluator groups.
CriteriaWeightRank
C10.319870433
C20.332007632
C30.348121941
Table 18. Overall priority ranking of criteria for level 2 considering all evaluator groups.
Table 18. Overall priority ranking of criteria for level 2 considering all evaluator groups.
CriteriaWeightRank
C110.041412448
C120.278457991
C210.097876214
C220.090053315
C230.136255223
C310.056756637
C320.068224486
C330.223140832
Table 19. Overall priority ranking of criteria for level 3 considering all evaluator groups.
Table 19. Overall priority ranking of criteria for level 3 considering all evaluator groups.
CriteriaWeightRank
C1110.015721017
C1120.015259728
C1130.010431719
C1210.015056996
C1220.034513683
C1230.053292582
C1240.019463245
C1250.027448434
C1260.128683071

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Farooq, D.; Moslem, S.; Duleba, S. Evaluation of Driver Behavior Criteria for Evolution of Sustainable Traffic Safety. Sustainability 2019, 11, 3142. https://doi.org/10.3390/su11113142

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Farooq D, Moslem S, Duleba S. Evaluation of Driver Behavior Criteria for Evolution of Sustainable Traffic Safety. Sustainability. 2019; 11(11):3142. https://doi.org/10.3390/su11113142

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Farooq, Danish, Sarbast Moslem, and Szabolcs Duleba. 2019. "Evaluation of Driver Behavior Criteria for Evolution of Sustainable Traffic Safety" Sustainability 11, no. 11: 3142. https://doi.org/10.3390/su11113142

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