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

Separation Stages

$S_{j}={\frac {\left[(G^{2})-\sum _{l=0}^{R}n_{l}^{2}\right]}{2}}$ , where:^[1]

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,

0 is the target set exponent for a single characteristic, and,

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,

K is the number of characteristics in the target set, and,

↑ Must be applied initially to each characteristic. (The equations have been implemented in Mathcad and using the Visual Basic programming language. See Application_Example

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