Description: —This paper shows a proposal for Type-reduction of
an Interval Type-2 fuzzy set composed from α -cuts done over
its primary membership functions. The defi nition of available
Type-reduction methods for Interval Type-2 fuzzy sets are based
on an homogeneous subdivision of the universe of discourse, so
we propose an approximation algorithm for Type-reduction of
an Interval type-2 fuzzy set through its primary α -cuts.
Some defi nitions about the α -cut of a Type-2 fuzzy set are
provided and used for computing the centroid of an Interval
Type-2 fuzzy set through a mapping of its membership function,
instead of its universe of discourse.
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