Majalah Ilmiah UNIKOM
Vol.10 No. 1
69
H a l a m a n
Type Reduction
The Karnik-Mendel algorithms is used for
determining
and
. This process takes
the type-2 output set and convert it to a type
-1 set. The five steps for determining
:
[12]
1. Initialize
by setting:
and then compute
2. Find
such that
3. Set :
And compute :
4. Check if
. If yes, stop and set
. If no, go to step [5]
5. Set
and go to step [2]
For determining
, same as previouse
procedur, except in step 3, set
so that :
Defuzzification
Since the resultant type-reduced output is
an interval type-1 fuzzy set, the output of
fuzzy can be easily calculate using the
average of its lower and upper bounds :
Muhammad Aria
Figure
4. Illustrative example of inference mechanism using algebraic product