Question

Consider a dataset of six points given in the following table, each of which has two features f_{1} and f_{2}. Assuming the values of the parameters c and m as 2 and the initial cluster centers V_{1}=(,5,5) and V_{2}=(10,10), apply FCm algorithm to find the new cluster center after one iteration. 

  F_{1} F_{2}
X_{1} 3 11
X_{2} 3 10

 

X_{3} 8 12
X_{4} 10 6
X_{5} 13 6
X_{6} 13 5

 

10 Mar 2024
Answer :
Word Count : 217
The Fuzzy C-Means (FCM) algorithm involves the following steps: 1. Compute Membership Values: - The membership of each point \( X_i \) to each cluster center \( V_j \) is given by: \[ u_{ij} = \frac{1}{\sum\limits_{k=1}^{c} ____ _________ _____ _____ ______ ______ _______ _______ __________ ____.
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_______ ______ ____ _________ __________ ____.
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