Jiang Wen, Wei Boya, Tang Yongchuan, Zhou Deyun
School of Electronics and Information, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China.
Chaos. 2017 Feb;27(2):023117. doi: 10.1063/1.4977186.
Complex networks are widely used in modeling complex system. How to aggregate data in complex systems is still an open issue. In this paper, an ordered visibility graph average aggregation operator is proposed which is inspired by the complex network theory and Newton's law of universal gravitation. First of all, the argument values are ordered in descending order. Then a new support function is proposed to measure the relationship among values in a visibility graph. After that, a weighted network is constructed to determine the weight of each value. Compared with the other operators, the new operator fully takes into account not only the information of orders but also the correlation degree between the values. Finally, an application of produced water management is illustrated to show the efficiency of the proposed method. The new method provides a universal way to aggregate data in complex systems.
复杂网络在复杂系统建模中被广泛应用。如何在复杂系统中聚合数据仍然是一个未解决的问题。本文受复杂网络理论和牛顿万有引力定律的启发，提出了一种有序可见性图平均聚合算子。首先，将自变量值按降序排列。然后提出一个新的支持函数来度量可见性图中各值之间的关系。之后，构建一个加权网络来确定每个值的权重。与其他算子相比，新算子不仅充分考虑了顺序信息，还考虑了各值之间的相关程度。最后，通过采出水管理的应用实例来说明所提方法的有效性。该新方法为复杂系统中的数据聚合提供了一种通用方法。
