Ordered visibility graph average aggregation operator: An application in produced water management.
Ordered visibility graph average aggregation operator: An application in produced water management.
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DOI：
10.1063/1.4977186
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发表时间：
2017-02
期刊：
影响因子：
2.9
通讯作者：
Wen Jiang;Boya Wei;Yongchuan Tang;Deyun Zhou
中科院分区：
文献类型：
--
作者：
Wen Jiang;Boya Wei;Yongchuan Tang;Deyun Zhou
复杂网络被广泛应用于复杂系统的建模。如何在复杂系统中聚合数据仍然是一个悬而未决的问题。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图平均聚集算子。首先，参数值按降序排列。在此基础上，提出了一种新的支持函数来度量可见度图中各值之间的关系。然后，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订单信息，还充分考虑了值之间的关联度。最后，以采出水管理为例，说明了该方法的有效性。新方法提供了一种在复杂系统中聚合数据的通用方法。
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.