
Table 2: Relational degrees in Beijing public transport 
evaluation system. 
Relational 
degree 
Ve r y 
good  
Good Medium  Poor 
Very 
poor 
Grade 
Efficiency -0.4276 0.021  -0.159  -0.313 -0.571  Good 
Convenience -0.435 -0.108 0.128 -0.294 -0.509 Medium 
Comfort -0.489 -0.247 0.163 -0.105 -0.448 Medium 
Service 
quality 
-0.396 0.050  -0.011  -0.414 -0.582  Good 
Synthetically 
relational 
degree 
-0.449 -0.119  0.046  -0.242  -0.511  Medium 
∑
=
=
n
j
j
j
j
w
1
δ
            (2) 
Where 
j
x
  is the mean value of jth index, 
j
D
is 
the standard deviation of the jth index, 
j
 is the 
coefficient of variation and 
j
w
  is the weight of the 
jth index. 
Weights calculated by means of coefficient of 
variation method are presented in Table 1 (see 
column ‘weights of indices’). 
5.3  Evaluation of Public Transport 
users Satisfaction Level 
Mean value of the satisfaction degree obtained by 
the survey is taken as the value of corresponding 
index. Public transport user satisfaction degree can 
be described as five grades, ‘very good’ (the value 
range is 8-9), ‘good’ (6-8), ‘medium’ (4-6), ‘poor’ 
(2-4) and ‘very poor’ (1-2). According to the model 
built in part 2, matter-element of evaluation object, 
matter-element of classic domain and matter-element 
of section domain can be defined and relational 
degree between the indices and five grades can be 
calculated. Synthetically relational degree between 
public transport user satisfaction and five grades is 
obtained by weight sum. According to the definition 
of    relational    degree, the grade of public transport 
user satisfaction is given by
  
)(
,...2,1
max x
j
L
nj
j
k
=
=
. The 
relational degrees are presented in Table 2. 
Data in Table 2 indicates that public transport 
passenger satisfaction degree in Beijing is ‘medium’. 
Furthermore, synthetically relational degree about 
‘good’ is larger than it of ‘poor’. According to the 
definition of relational degree in extenics, it is more 
likely to translate into grade of ‘good’ from 
‘medium’. 
6 CONCLUSIONS 
By improving public transport service quality to 
satisfy passengers, more residents will be appealed 
to use public transport instead, so that the congestion 
could be relieved. In order to evaluate the public 
transport user satisfaction, this paper proposed an 
evaluation model based on matter-element analysis 
theory. Based on the data obtained by questionnaire 
survey, the public transport user satisfaction is 
assessed from the perspective of passengers. 
Coefficient of variation method is adopted to 
calculate the weights of indices to overcome the 
shortcoming of subjective methods used in previous 
research. The research indicates that public transport 
user satisfaction degree in Beijing is ‘medium’ and 
close to ‘good’. Poor user satisfaction about 
convenience and comfort affect the overall 
satisfaction of public transport service. While 
striving to construct public transport infrastructure, 
the government should pay more attention to 
improve the service quality of public transport to 
make public transport more attractive. 
*Supported by “the Fundamental Research Funds for the 
Central Universities (Appraisal of TDM Measures in 
Occurring Urban Congestion)” and “National Nature 
Science Fund of China (Research of residents’ Selective 
Mechanism in Public Transport)”. 
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