Table 1 Judgment matrix scaling and its interpretation.

From: LCD-AHP-TRIZ methodology enhances low-carbon principles in smart product design

9-level scale

Interpretation (comparing the importance of evaluation indicators with \(\:r_{i}\)vs. \(\:{r}_{j}\:\))

1

Evaluation indicator \(\:{r}_{i}\) is as important as\(\:\:{r}_{j}\)

3

Evaluation indicator \(\:{r}_{i}\) is slightly more important than \(\:{r}_{j}\)

5

Evaluating Indicators \(\:{r}_{i}\) and \(\:{r}_{j}\) is significantly important

7

Evaluation metrics \(\:{r}_{i}\) and\(\:{r}_{j}\) are strongly important

9

Evaluation metrics \(\:{r}_{i}\) and \(\:{r}_{j}\) are extremely important

2,4,6,8

Median value of upper neighboring scales

reciprocal

When the evaluation indicator \(\:{r}_{i}\) is compared with\(\:{r}_{j}\), its judgment value is

\(\:{\:\:C}_{JI}=\raisebox{1ex}{$1$}\!\left/\:\!\raisebox{-1ex}{${\:\:C}_{IJ}$}\right.\:,{\:\:C}_{JI}=1\)