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Adaptive Neuro-Fuzzy Inference System (ANFIS)
A technique for automatically tuning Sugeno-type inference systems based on training
data.
aggregation
The combination of the consequents of each rule in a Mamdani fuzzy inference system
in preparation for defuzzification.
antecedent
The initial (or "if") part of a fuzzy rule.
consequent
The final (or "then") part of a fuzzy rule.
defuzzification
The process of transforming a fuzzy output of a fuzzy inference system into a crisp
output.
degree of fulfillment
See firing strength
degree of membership
The output of a membership function, this value is always limited to between 0 and 1.
Also known as a membership value or membership grade.
firing strength
The degree to which the antecedent part of a fuzzy rule is satisfied. The firing strength
may be the result of an AND or an OR operation, and it shapes the output function for
the rule. Also known as degree of fulfillment.
fuzzification
The process of generating membership values for a fuzzy variable using membership
functions.
fuzzy c-means clustering
A data clustering technique wherein each data point belongs to a cluster to a degree
specified by a membership grade.
fuzzy inference system (FIS)
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The overall name for a system that uses fuzzy reasoning to map an input space to an
output space.
fuzzy operators
AND, OR, and NOT operators. These are also known as logical connectives.
fuzzy set
A set that can contain elements with only a partial degree of membership.
fuzzy singleton
A fuzzy set with a membership function that is unity at a one particular point and zero
everywhere else.
implication
The process of shaping the fuzzy set in the consequent based on the results of the
antecedent in a Mamdani-type FIS.
Mamdani-type inference
A type of fuzzy inference in which the fuzzy sets from the consequent of each rule are
combined through the aggregation operator and the resulting fuzzy set is defuzzified to
yield the output of the system.
membership function (MF)
A function that specifies the degree to which a given input belongs to a set or is related
to a concept.
singleton output function
An output function that is given by a spike at a single number rather than a continuous
curve. In the Fuzzy Logic Toolbox software, it is only supported as part of a zero-
order Sugeno model.
subtractive clustering
A technique for automatically generating fuzzy inference systems by detecting clusters
in input-output training data.
Sugeno-type inference
A type of fuzzy inference in which the consequent of each rule is a linear combination
of the inputs. The output is a weighted linear combination of the consequents.
T-conorm
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A two-input function that describes a superset of fuzzy union (OR) operators, including
maximum, algebraic sum, and any of several parameterized T-conorms Also known as
S-norm.
T-norm
A two-input function that describes a superset of fuzzy intersection (AND) operators,
including minimum, algebraic product, and any of several parameterized T-norms.