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Majalah Ilmiah UNIKOM

Vol.10 No. 1


H a l a m a n

Type Reduction

The Karnik-Mendel algorithms is used for



. This process takes

the type-2 output set and convert it to a type

-1 set. The five steps for determining



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 :


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


4. Illustrative example of inference mechanism using algebraic product