Equation number  Equation  Description 
1 
 The objective function defined by the Euclidean distance (distance between i^{th} center c_{i} and the k^{th} data of S). 
2 
 The membership matrix element where i = 1 to c, j = 1 to n, for a total number n of points in S. It has two properties:

3 
 The class center where i = 1 to c by the average of all its attribute vectors and is the cardinal of. 