Majalah Ilmiah UNIKOM
Vol.10 No. 1
68
H a l a m a n
are interval type-2 fuzzy systems described
by Gaussian primary membership function
with uncertain means, denoted as
Figure
3. Gaussian interval type-2 fuzzy membership
function with uncertain means
where
is the uncertain
a1,…,n
b1,…,m
rules and
is the standard deviation.
There are two kinds of type-2 sets. First is a
gaussian type-2 fuzzy set, which the
membership grade of every domain point is
a Gaussian type-1 set contained in [0,1].
Second is an interval type-2 fuzzy set which
the membership grade of every domain
point is a crisp set whose domian is some
interval contained in [0,1]. Figure 3. shows
gaussian interval type-2 fuzzy membership
function with uncertain means
The upper membership function is defind as
where
And lower membership function is defind as
Fuzzy Inference System
Fuzzy inference mechanism applies the
fuzzy reasoning on the rules in the rule base
in order to derive a mathematically
reasonable output or conclusion which
represents the problem conditions best.
Fuzzy inferences in antecedent using
algebraic product, is denoted as
and
Figure 4. shows Fuzzy inference illustrative
example of the simplified case with two
input variable.
The interval value of the consequent
is
, where
and
and
denote the lower and
b
rule.
denotes the center (mean) of
and
denotes the spread of
.
Muhammad Aria