Granular Ball Computing (GBC)

Granular-Ball Fuzzy Set and Its Implementation in SVM 2023

Granular-ball definition center and radius:

Traditional fuzzy data processing structure with points as input can be converted to a new structure incorporating granular-ball fuzzy set

Original fuzzy dataset D = {(x1, $\sigma 1$), (x2, $\sigma 2$),…,(xn, $\sigma n$)}

Granular-ball fuzzy dataset G = {(GB1, $\sigma G{B}_1$), (GB2, $\sigma G{B}_2$),…,(GBl, $\sigma G{B}_l$)}

$l$ and $\sigma G{B}_l$ represent the number and membership degree of fuzzy granular-ball

Each granular-ball can be represented by its center c i c_i