Research on the Show-Oriented Sustainable Design of Cultural and Creative Product Packaging Based on the SOR Model
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27 feb 2025
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Publicado en línea: 27 feb 2025
Recibido: 05 oct 2024
Aceptado: 27 ene 2025
DOI: https://doi.org/10.2478/amns-2025-0091
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© 2025 Meina Tang et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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Target layer matrix
A | B1 | B2 | B3 | B4 | B5 | ri |
---|---|---|---|---|---|---|
B1 | 1 | 0 | 0 | 0 | 0 | 1 |
B2 | 2 | 1 | 2 | 0 | 2 | 7 |
B3 | 2 | 0 | 1 | 0 | 0 | 3 |
B4 | 2 | 2 | 2 | 1 | 2 | 9 |
B5 | 2 | 0 | 0 | 0 | 0 | 2 |
Improved judgment matrix construction
A' | A'1 | A'2 | … | A'n |
---|---|---|---|---|
A'1 | [α11(1)+α11(2)+…+α11(m)]/m | [α12(1)+α12(2)+…+α12(m)]/m | … | [α1n(1)+α1n(2)+…+α1n(m)]/m |
A'2 | [α21(1)+α21(2)+…+α21(m)]/m | [α22(1)+α22(2)+…+α22(m)]/m | … | [α2n(1)+α2n(2)+…+α2n(m)]/m |
… | … | … | … | … |
A'n | [αn1(1)+αn1(2)+…+αn1(m)]/m | [αn2(1)+αn2(2)+…+αn2(m)]/m | … | [αnn(1)+αnn(2)+…+αnn(m)]/m |
Average random consistency index (RI)
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
RI | 0 | 0 | 0.52 | 0.89 | 1.12 | 1.26 | 1.36 | 1.41 | 1.46 | 1.49 | 1.52 | 1.54 |
Consistency test results
Item | A | B1 | B2 | B3 | B4 | B5 |
---|---|---|---|---|---|---|
RI | 1.26 | 1.26 | 0.89 | 1.26 | 0.89 | 1.26 |
λmax | 6.00 | 6.13 | 4.17 | 6.19 | 4.13 | 6.06 |
CR | 0.00 | 0.02 | 0.07 | 0.03 | 0.05 | 0.01 |
Design element weight calculation results and ranking
Criterion Layer | Ranking | Criterion Layer Weight | Sub-Criterion Layer | Sub-Criterion Layer Weight | Overall Weight | Ranking |
---|---|---|---|---|---|---|
B1 | 1 | 0.324 | C1 | 0.146 | 0.053 | 4 |
C2 | 0.143 | 0.044 | 10 | |||
C3 | 0.204 | 0.066 | 1 | |||
C4 | 0.185 | 0.058 | 2 | |||
C5 | 0.183 | 0.056 | 3 | |||
C6 | 0.139 | 0.047 | 7 | |||
B2 | 5 | 0.123 | C7 | 0.316 | 0.039 | 13 |
C8 | 0.229 | 0.028 | 21 | |||
C9 | 0.227 | 0.028 | 21 | |||
C10 | 0.228 | 0.028 | 21 | |||
B3 | 2 | 0.198 | C11 | 0.173 | 0.034 | 16 |
C12 | 0.142 | 0.028 | 20 | |||
C13 | 0.169 | 0.033 | 17 | |||
C14 | 0.221 | 0.042 | 12 | |||
C15 | 0.155 | 0.031 | 18 | |||
C16 | 0.140 | 0.030 | 19 | |||
B4 | 4 | 0.175 | C17 | 0.227 | 0.038 | 14 |
C18 | 0.214 | 0.037 | 15 | |||
C19 | 0.315 | 0.049 | 6 | |||
C20 | 0.244 | 0.051 | 5 | |||
B5 | 3 | 0.180 | C21 | 0.142 | 0.046 | 8 |
C22 | 0.302 | 0.047 | 7 | |||
C23 | 0.139 | 0.042 | 11 | |||
C24 | 0.149 | 0.045 | 9 |