Optimal Classification/Rypka Method/Equations/Separatory/Characteristic/Empirical/Separation

Separation Stages

Initial separation

$S_{j}={\frac {\left[(G^{2})-\sum _{l=0}^{R}n_{l}^{2}\right]}{2}}$, where:

• S_j is the initial empirical separatory value for each characteristic, where,

j = 0...C and is the index of the jth characteristic in the group and C is the number of characteristics in the group, and,

l = 0...R and is the truth table value of the jth characteristic, where R is the truth table size, where:

R = V⁰, and,

• V is the highest value of logic in the group and,
• 0 is the target set exponent for a single characteristic, and,

• G is the number of elements in the bounded class.

Subsequent separation

$S={\frac {\left[(G^{2})-\sum _{l=0}^{R}n_{l}^{2}\right]}{2}}$, where:

• S_j is the initial empirical separatory value for each characteristic, where,

l = 0...R and is the target set truth table index value, where R is the target set truth table size value, where:

R = V^K, and,

• V is the highest value of logic in the group and,
• K is the number of characteristics in the target set, and,

• G is the number of elements in the bounded class.