Combine two sets of clusters

Question

I have two sets of topics obtained from two different sets of news paper articles.

In other words, Cluster_1 = ${x_1, x_2, ..., x_n}$ includes the main topics of 'X' news paper set and Cluster_2 = ${y_1, y_2, ..., y_n}$ includes the main topics of 'Y' news paper set.

Now I want to find clusters in the two sets that are similar/related by considering the cluster attributes as given in the example below.

Example 1,
**X1 in Cluster_1** is mostly similar/related to **Y2 in Cluster_2**
**X2 in Cluster_1** is mostly similar/related to **Yn in cluster_2**
and so on.

Example 2:
News about Yet in Cluster_1 is mostly similar/related to News about Science in Cluster_2
News about Floods in Cluster_1 is mostly similar/related to News about Rains in Cluster_2

Since, I am dealing with two separate sets of clusters, what would be a suitable measurement/method I can use to connect the clusters in the two different sets?