The transformations used in the MultiSimplex software to create membership functions
for maximization problems, minimization of is e
quivalent to maximization of 
, are expressed as:
Where
- Ymin is the low limit for acceptable values of Yi.
- Ymax is the value above, which a further increase is without
significance.
- R is a constant that can take different values.
All responses where the objective is maximization or minimization can be transformed,
compared and combined using these membership functions. By changing the constant R it is
possible to specify many different membership functions. Values of R above 1.0 will result
in a slow increase from the unacceptable limit and fast near the high limit. If the
constant R has the value 1.0, the function will be strictly proportional between the
limits. Values of R below 1.0 will result in a fast increase from the unacceptable limit
and slow near the high limit.
