def Evaluate( self, membershipFunction, min, max, step ):
membershipFunction.SetComposeFunction( BinaryFunction.GodelSNorm() )
# Find the maximum value of the membership function
flatMaxFunction = MembershipFunction.FlatMembershipFunction()
flatMaxFunction.SetParameters( [ self.MaximumValue( membershipFunction, min, max, step ) ] )
# This function is the max value when the original membership function achieves its max, and is zero otherwise
maxFunction = MembershipFunction.MembershipFunction()
maxFunction.AddBaseFunction( flatMaxFunction )
maxFunction.AddBaseFunction( membershipFunction )
maxFunction.SetComposeFunction( EqualBinaryFunction() )
numeratorFunction = MembershipFunction.MembershipFunction()
numeratorFunction.AddBaseFunction( maxFunction )
numeratorFunction.AddBaseFunction( XMembershipFunction() )
numeratorFunction.SetComposeFunction( BinaryFunction.GoguenTNorm() ) # Multiply x * func and integrate
denominatorFunction = MembershipFunction.MembershipFunction()
denominatorFunction.AddBaseFunction( maxFunction )
num = self.Integrate( numeratorFunction, min, max, step )
denom = self.Integrate( denominatorFunction, min, max, step )
if ( denom == 0 ):
logging.warning( "DefuzzifierMOM::Evaluate: Membership function has zero maximum." )
return 0
return num / denom
def Evaluate(self, inputValues, transformOutputFunction):
if (self.ComposeFunction == None
or self.OutputMembershipFunction == None):
emptyMembershipFunction = MembershipFunction.FlatMembershipFunction(
)
emptyMembershipFunction.SetParameters([0])
return emptyMembershipFunction
# Find the input membership values
totalMembership = 1 - self.ComposeFunction.Evaluate(
0, 1) # This yields 1 for t-norm and 0 for s-norm
ruleUsed = False
for name in inputValues:
if (name not in self.InputMembershipFunctions):
continue
currentMembership = self.InputMembershipFunctions[name].Evaluate(
inputValues[name])
totalMembership = self.ComposeFunction.Evaluate(
totalMembership, currentMembership)
ruleUsed = True
# Assign the total memership to be zero if the rule is never used
if (ruleUsed == False):
totalMembership = 0
# Compose the flat membership function
flatMembershipFunction = MembershipFunction.FlatMembershipFunction()
flatMembershipFunction.SetParameters([totalMembership])
# Apply clipping or scaling to output membership function
transformedOutputMembershipFunction = MembershipFunction.MembershipFunction(
)
transformedOutputMembershipFunction.AddBaseFunction(
self.OutputMembershipFunction)
transformedOutputMembershipFunction.AddBaseFunction(
flatMembershipFunction)
transformedOutputMembershipFunction.SetComposeFunction(
transformOutputFunction)
# Return the transformed output membership function
return transformedOutputMembershipFunction
