TY - JOUR
T1 - A visibility graph power averaging aggregation operator
T2 - A methodology based on network analysis
AU - Jiang, Wen
AU - Wei, Boya
AU - Zhan, Jun
AU - Xie, Chunhe
AU - Zhou, Deyun
N1 - Publisher Copyright:
© 2016 Elsevier Ltd
PY - 2016/11/1
Y1 - 2016/11/1
N2 - Aggregation operators are widely used in many fields. Motivated by the idea of the visibility graph averaging (VGA) operator, in this paper, a visibility graph power averaging (VGPA) aggregation operator is proposed based on network analysis, since the visibility graph can convert a time series into a graph and save time information effectively. In our method, a new support function based on distance is proposed to measure the support degree of each other. The advantage is that the VGPA operator fully takes into account not only the relationship but also the correlation degree between the values. Compared with VGA operator, numerical results show more effectiveness on the proposed operator. Finally, the analysis of the Taiwan Stock Exchange Capitalization Weighted Stock Index (TAIEX) is used to illustrate the application of the VGPA operator. In addition, the aggregated results compared with other operators show that our proposed method is more reasonable and effective in time series.
AB - Aggregation operators are widely used in many fields. Motivated by the idea of the visibility graph averaging (VGA) operator, in this paper, a visibility graph power averaging (VGPA) aggregation operator is proposed based on network analysis, since the visibility graph can convert a time series into a graph and save time information effectively. In our method, a new support function based on distance is proposed to measure the support degree of each other. The advantage is that the VGPA operator fully takes into account not only the relationship but also the correlation degree between the values. Compared with VGA operator, numerical results show more effectiveness on the proposed operator. Finally, the analysis of the Taiwan Stock Exchange Capitalization Weighted Stock Index (TAIEX) is used to illustrate the application of the VGPA operator. In addition, the aggregated results compared with other operators show that our proposed method is more reasonable and effective in time series.
KW - Networks
KW - Power Average operator
KW - TAIEX
KW - Visibility Graph Averaging operator
KW - Visibility graph
UR - http://www.scopus.com/inward/record.url?scp=84988375080&partnerID=8YFLogxK
U2 - 10.1016/j.cie.2016.09.009
DO - 10.1016/j.cie.2016.09.009
M3 - 文章
AN - SCOPUS:84988375080
SN - 0360-8352
VL - 101
SP - 260
EP - 268
JO - Computers and Industrial Engineering
JF - Computers and Industrial Engineering
ER -