Abstract
In the real decision-making process, there are so many time series values that need to be aggregated. In this paper, a visibility graph power geometric (VGPG) aggregation operator is developed, which is based on the complex network and power geometric operator. Time series data are converted into a visibility graph. A visibility matrix is developed to denote the links among different time series values. A new support function based on the distance of two values are proposed to measure the support degree of each other when the two time series values have visibility. The VGPG operator considers not only the relationship but also the similarity degree between two values. Meanwhile, some properties of the VGPG operator are also investigated. Finally, a case study for water, energy, and food coupling efficiency evaluation in China is illustrated to show the effectiveness of the proposed operator. Comparative analysis with the existing research is also offered to show the advantages of the proposed method.
Highlights
Information aggregation is a process of fusing a set of values into a single one, which is an important step in selecting the best alternative
Operator [1] and the weighted geometric (WG) operator. Based on these two operators, they are extended to various forms, such as the ordered weighted average (OWA) operator [2], ordered weighted geometric (OWG) operator [3,4], harmonic mean operator [5], induced OWA operator [6], and generalized OWA operator [7]
In order to overcome the drawbacks of the existing methods, we develop a new aggregation operator, which is based on the visibility graph (VG) and power geometric (PG) aggregation operator
Summary
Information aggregation is a process of fusing a set of values into a single one, which is an important step in selecting the best alternative. It is very important to develop an aggregation method that considers the time series values and relationships of these data at the same time. Based on the VG, we only consider those arguments that are linked with the argument, and the similarities of these linked data are computed, which is more objective and reasonable in the time series. How to determine the weights of the time series values and that the weights are obtained in a more objective way?. A new aggregation operator, namely the visibility graph power geometric (VGPG) aggregation operator, is proposed to aggregate the time series values. Based on the support function and visibility matrix, a new objective weight determination method for the VGPG operator is developed.
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