Fuzzy K-modes clustering how to find the cluster centers

I'm trying to understand fuzzy k-modes algorithm (look mainly at page 3) in order to implement it. I'm stuck at the calculation of cluster centers they said as shown in the pic

I need to know whether the following is true or false and please correct me

In order to get the center of a cluster we need to:

1. for each category in a variable calculate the sum of membership value for all the point, that the category belong开发者_如何学Gos to, to this cluster
2. the highest obtained value to be set as the category of the center

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I've got to admit, interpreting that cryptic text is difficult and the first step you should take is finding some more reference material.

There's quite a lot of such material available on the web, here is one such page: http://home.dei.polimi.it/matteucc/Clustering/tutorial_html/cmeans.html

The calculation of the cluster centres is simply a weighted mean using the membership values.