A visibility graph fusion method with weighted average is proposed to solve the problem that the classical weighted averaging fusion methods cannot effectively reduce the information loss and make reasonable judgments quickly. First
argument values are ordered in a descending order to form a time series. After that
a network is constructed based on the visibility graph
and the time series is converted into a graph. The data and network nodes correspond one to one. Then a support function is proposed to measure the relationship between the nodes
and the weights of original data are obtained. Finally
the original data are weighted and fused to get final results. Compared with the classical methods
the new method deals with the weights from a more objective perspective
and it is more accurate and effective when dealing with decision making problems. An example of produced water management is presented to show that the proposed method is reasonable and practical. Moreover
this method reduces the information loss in the fusion process
and hardly produces a counter-intuitive result. It greatly improves the effectiveness of decision analysis.
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references
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