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The output y is the dimensionless degree of membership to the set of "good performances" or "good outcomes" according to a chosen type of membership function. Using the PerformanceIndicator allows to quickly grasp how a system is currently performing with regard to some criteria: a value of 1 indicates best possible performance, while a value of 0 indicates unsustainable performance.
The following grid displays all available membership function types without inversion (invertResults = false):
|
| Membership Function Type | a | b | c | d |
|---|---|---|---|---|
| ramp | foot | shoulder | ||
| triangular | left foot | center | right foot | |
| trapezoidal | left foot | left shoulder | right shoulder | right foot |
| sshaped | foot | shoulder | ||
| sigmoidal | steepness of transition area | center of transition area | ||
| pishaped | left foot | left shoulder | right shoulder | right foot |
| psigmoidal | steepness of left transition | center of left transition area | steepness of right transition | center of right transition area |
| gaussian | half width at half maximum | center of curve (maximum) | ||
| bell | width of core | steepness | center of core |
When inversion is turned on (invertResult = true) the result obtained from the membership function as specified will be subtracted from 1. Thus the ramp shown above can be made to ramp down from left to right with a being the shoulder and b the foot by inverting the results.
rampmf, trapmf, trimf, smf, sigmf, pimf, psigmf, gaussmf, gbellmf
a,b,c,d to InputType in v2.2.