PROCEEDINGS IPMU '08
Stratification in the Type-Reduced Set and the Generalised Karnik-Mendel Iterative Procedure
Sarah Greenfield and Robert John.
Type-2 defuzzification is a two-stage
process. Type-reduction, the first stage,
gives rise to a type-1 fuzzy set known as
the type-reduced set (TRS), which for
the second stage is defuzzified to give a
crisp number. This paper focusses on
the TRS itself, which reveals a fascinating
internal structure. We provide a
description of and explanation for this
structure, then go on to suggest how it
may be exploited to enable the application
of the Karnik-Mendel Iterative Procedure
to generalised type-2 fuzzy sets.
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