Node ranking of multiplex network based on weighted aggregation using AHP method

This article researches on node importance ranking of multiplex network. Existing node importance ranking methods are amost monoplex network using only single relationship. However, in real life a person often has various relationships, so how to rank nodes of multiplex network is more realistic and meaningful. In this article, we propose a multiplex network node ranking method based on weighted aggregation. Firstly, we weight each layer by Analytic Hierarchy Process for existing aggregation method either lack of weighting process or weighting process rely on artificial calculation process rather than a precise calculation model and Analytic Hierarchy Process can use researchers' experience and avoid logic error. Then we aggregate multiplex networks to monoplex network and extract index to rank nodes. The simulations show that the method can give more comprehensive and reasonable results of multiplex network.