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A great advantage of XFL3 is that functions assigned to fuzzy operators can be
defined freely by the user in external files (named as packages), which gives a
huge flexibility to the environment. Each package can include an unlimited
number of definitions.
Six types of functions can be defined in XFL3:
binary functions that can be used as T-norms, S-norms,
and implication functions; unary functions that are
related with linguistic hedges; crisp functions that
implement crisp blocks; membership functions that
are used to describe linguistic labels; families of membership
functions that define a set of membership functions which share their parameters;
and defuzzification methods.
A function definition include its name
(and possible alias), the parameters that specify its behavior as well
as the constraints on these parameters, the description of its behavior in the
different languages to which it could be compiled (C, C++
and Java), and even the description of its
differential function (if it is employed in gradient-based learning
mechanisms). This information is the basis to generate automatically a Java
class that incorporates all the function capabilities and can be employed by
any XFL3 specification.
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