# Optimal Classification/Rypka Method/Equations/Separatory/Characteristic/Empirical/Target Set

## Target Set Truth Table Value[edit | edit source]

, where:^{[1]}

is the truth table value of the target set,**t**_{i}

is the element's attribute value,**v**_{i,j}

is the**i**th element's index value, where,**i**

where**i = 0...G'**is the number of elements in the**G****bounded**class, and,

is the**j****j'**th characteristic's index value, where,

and where,**j = 0...K**

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

is highest value of logic in the group,**V**is the positional value of the**V**^{(K-j)}th characteristic.**j**

, where,

**n**_{ti}contains the multiset count for each truth table value^{[2]}.

## Notes[edit | edit source]

- ↑ As the characteristic with the greatest separatory value is moved to the next most significant position, K is incremented to expand the target set size from two characteristics to the number of characteristics in the group or the number of characteristics which result in 100% separation. For the initial target set with one characteristic the separatory value is computed individually for each characteristic in the group to find the initial characteristic with the highest separatory value.
- ↑ coefficient of association, , see page 172 of the
**primary reference**