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.