A rough set approach for evaluating vague customer requirement of industrial product-service system_Wenyan Songa
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International Journal <strong>of</strong> Production Research 6693<br />
Figure 6. Hierarchical structure <strong>for</strong> IPS 2 <strong>requirement</strong> <strong>of</strong> rotary oil-free air compressor.<br />
According to <strong>for</strong>mula (10) and (11), consistency ratio CR 1 = 0.010 < 0.1, CR 2 = 0.017 < 0.1, CR 3 = 0.029 < 0.1,<br />
CR 4 = 0.004 < 0.1 and CR 5 = 0.002 < 0.1, so the consistency <strong>of</strong> each pair-wise comparison matrix <strong>of</strong> the <strong>requirement</strong> R 4<br />
(Guarantee and optimisation <strong>of</strong> normal operation) is acceptable.<br />
Then, the group evaluation matrix <strong>of</strong> <strong>requirement</strong> ~R 4 can be obtained by combining the above five pair-wise<br />
matrixes together.<br />
2<br />
~R 4 ¼<br />
6<br />
4<br />
1; 1; 1; 1; 1 5; 7; 5; 3; 5 3; 3; 1=2; 1=3; 3 3; 5; 2; 2; 3 5; 3; 3; 1; 1=2<br />
1=5; 1=7; 1=5; 1=3; 1=5 1; 1; 1; 1; 1 1=2; 1=3; 1=8; 1=8; 1=2 1=2; 1=2; 1=2; 1; 1=2 1; 1=3; 1=2; 1=3; 1=8<br />
1=3; 1=3; 2; 3; 1=3 2; 3; 8; 8; 2 1; 1; 1; 1; 1 1; 3; 5; 7; 1 3; 1; 5; 3; 1=5<br />
1=3; 1=5; 1=2; 1=2; 1=3 2; 2; 2; 1; 2 1; 1=3; 1=5; 1=7; 1 1; 1; 1; 1; 1 3; 1=3; 3; 1=2; 1=5<br />
1=5; 1=3; 1=3; 1; 2 1; 3; 2; 3; 8 1=3; 1; 1=5; 1=3; 5 1=3; 3; 1=3; 2; 5 1; 1; 1; 1; 1<br />
3<br />
7<br />
5