Grey Clustering Evaluation for the Cooperation Efficiency of PPP Project: Taking Beijing Metro Line 4 as an Example

Table 5

Comprehensive clustering coefficient for Beijing metro line 4 PPP project cooperation efficiency index.

Cooperation efficiency index	Comprehensive weight
X1 Reliable quality		0.0061	0	0	0	0.9	0.1
X2 Satisfied public product/service requirement		0.0257	0	0	0	0.3	0.7
X3 Safety construction and operation		0.0068	0	0	0	0.95	0.05
X4 Reasonable pricing system		0.0078	0	0	0.4	0.6	0
X5 Avoid concession period extension		0.0091	0	0	0	0.55	0.45
X6 Avoid increasing financial responsibility during concession period		0.0099	0	0	0.15	0.85	0
X7Avoid price increase during concession period		0.0125	0	0	0	0	0.95
X8 Environmentally sustainable development		0.0170	0	0	0.1	0.9	0
X9 Promote regional economic development		0.0151	0	0	0	0.95	0.05
X10 Improve the construction and operation efficiency of the public project		0.0204	0	0	0	0.65	0.35
X11 Complete the project in time		0.0039	0	0	0	0	0.9
X12 Transfer part of risks		0.0057	0	0	0	0.75	0.25
X13 Good condition of facilities after transfer		0.0033	0	0	0	0.95	0.05
X14 Avoid high supervise cost		0.0162	0	0	0.75	0.25	0
X15 Reduce financial pressure		0.0403	0	0	0.39	0.39	0.61
Y1 Low Cost		0.0299	0	0.2	0.8	0	0
Y2 Satisfy return on investment		0.0215	0	0	0.5	0.5	0
Y3 Reasonable pricing principle		0.0189	0	0	0	0.9	0.1
Y4 Reasonable concession period		0.0083	0	0	0	0.45	0.55
Y5 Many users		0.0357	0	0	0	0.35	0.65
Y6 Avoid project overspend		0.0278	0.89	0.11	0.11	0	0
Y7 Avoid unreasonable intervention from the government		0.0099	0	0	0	0.6	0.4
Y8 Gain the policy support from the government sector		0.0672	0	0	0	0.75	0.25
Y9 Safe construction and operation		0.1662	0	0	0	0.35	0.65
Y10 Standard quality		0.0145	0	0	0	0.6	0.4
Y11 Complete the project in time		0.0165	0	0	0	0.3	0.7
Y12 Establish long-term cooperation relationship with the government		0.0145	0	0	0	0	0.75
Y13 Improve the reputation and credibility of enterprise		0.0118	0	0	0	0.45	0.55
Z1 Reliable construction quality		0.0073	0	0	0	0.9	0.1
Z2 Good environment		0.1956	0	0	0.05	0.95	0
Z3 Good operational function		0.0427	0	0	0.45	0.55	0
Z4 Timely convenient service		0.0354	0	0	0	0.2	0.8
Z5 Safety operation		0.0271	0	0	0.04	0.04	0.96
Z6 Low price		0.0206	0	0	0	0	0.5
Z7 User subsidy from the government		0.0171	0	0	0	0.95	0.05
Z8 Reasonable compensation		0.0114	0	0	0	0.6	0.4
			0.0248	0.0090	0.1020	0.5326	0.3365