Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (6): 1192-1201.doi: 10.21629/JSEE.2019.06.13
• Systems Engineering • Previous Articles Next Articles
Mengting ZONG1(), Tian SHEN2,*(), Xi CHEN1()
Received:
2018-07-09
Online:
2019-12-20
Published:
2019-12-25
Contact:
Tian SHEN
E-mail:zongmengting@163.com;shentian025@aliyun.com;doctor_chan@163.com
About author:
ZONG Mengting was born in 1991. She is currently a Ph.D. candidate at the Department of Business School, Nanjing University. Her research interests include group decision making, social network analysis, social computing experiments and digital innovation. E-mail: Supported by:
Mengting ZONG, Tian SHEN, Xi CHEN. Optimized interval 2-tuple linguistic aggregation operator based on PGSA and its application in MAGDM[J]. Journal of Systems Engineering and Electronics, 2019, 30(6): 1192-1201.
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Table 1
Linguistic assessments"
DM | Alternative | Attribute | ||||
M | M-H | H | H | M | ||
M-H | M | H | M | M-H | ||
H | H-VH | VH | H | VH | ||
M | M | L-M | L | L | ||
H | H-VH | M | H | H | ||
M | M | ML-M | MH | M-H | ||
ML-M | M | L | M | ML | ||
H | VH | H | VH | VH | ||
L | MH | M | ML | ML | ||
M-H | H | H | MH-H | H | ||
M | M | H-VH | H | M-H | ||
M-MH | M-H | H | H | H | ||
EH | VH | VH-EH | VH | VH | ||
L | ML | L | L-ML | L-M | ||
VH | VH | H-VH | H-VH | VH | ||
M | M | H | H | M-H | ||
M-H | M | H | H | H | ||
H | VH | H-VH | VH | VH | ||
L-M | M | L | L-M | M | ||
H | VH | H | H-VH | H |
Table 2
Interval 2-tuple linguistic decision matrix of the DMs"
DM | Alternative | Attribute | ||||
Table 3
Individual overall preference values indicated by ${[\beta _1, \beta _2]}$"
DM | Alternative | ||||
[4.60, 5.20] | [4.36, 5.16] | [6.80, 7.40] | [2.96, 3.32] | [5.64, 6.24] | |
[3.92, 4.74] | [2.98, 3.22] | [7.52, 7.52] | [3.47, 3.47] | [6.02, 6.67] | |
[4.60, 5.22] | [5.04, 5.82] | [7.18, 7.36] | [2.30, 2.86] | [6.70, 7.00] | |
[4.60, 5.04] | [5.04, 5.40] | [7.28, 7.64] | [3.04, 3.64] | [6.60, 6.84] |
Table 5
Four collective preference values"
Average operator | |||||
Ari average | [4.352, 5.056] | [4.360, 4.904] | [7.200, 7.480] | [2.944, 3.320] | [6.240, 6.688] |
4.563 | 4.523 | 7.284 | 3.057 | 6.374 | |
ITWA &DITWA | [4.488, 5.080] | [4.728, 5.392] | [7.280, 7.480] | [2.992, 3.360] | [6.264, 6.704] |
4.666 | 4.927 | 7.290 | 3.102 4 | 6.396 | |
ITWG&ITWG | [4.400, 4.968] | [4.640, 5.312] | [7.168, 7.448] | [2.792, 3.160] | [6.184, 6.648] |
4.570 | 4.842 | 7.252 | 2.903 1 | 6.323 | |
ITWA&PGSA | [4.600, 5.200] | [4.578, 5.237] | [7.219, 7.470] | [2.960, 3.320] | [6.392, 6.779] |
4.780 | 4.776 | 7.294 | 3.068 | 6.058 |
Table 6
Sum of the distance of the assembly point and the other points"
Aggregation method | |||||
Ari average | |||||
ITWA&DITWA | |||||
ITWG &DITWG | |||||
PGSA | |||||
Distance comparison |
Table 7
Ranking orders of different aggregation methods"
Aggregation method | Ranking | The best alternative |
Ari average | ||
ITWA &DITWA | ||
ITWG &DITWG | ||
PGSA |
Table 8
The overall preference values"
Alternative | ULWBM | ULWGBM | ITWA &PGSA |
Table 10
Overall preference values of the alternatives"
Alternative | ULHA & ULOWA | ITWA&PGSA |
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