Information Technology Reference
In-Depth Information
(
)
(
)
x
1
1 ,
x
2
x
1 , l
l
x
2
Let us conside r typic al intervals
and
of the adjacent terms
+
+
l
l
1
l . If one assumes that the right and left boundaries of
membership function of the fuzzy number, which correspond to terms
X and
X
,
=
1
1
l
+
1
X and
X
are linear functions, then they have the following explicit analytical form:
l
+
1
2
1
x
a
x
a
and
y
=
1
l
a
y
=
1
+
l
+
1
1
2
1
2
a
a
a
l
+
1
l
l
+
1
l
(
)
2
1
Let
b
x
,
x
. If the expert agrees that
l
l
+
1
b
a
1
()
μ
b
=
1
+
l
+
1
,
l
+
1
1
2
a
a
then boundaries are to be selected as linear functions. If the expert considers that
l
+
1
l
1
b
a
()
μ
b
>
1
+
l
+
1
,
l
+
1
a
1
a
2
then boundaries are to be selected as the functions shown in Fig. 2.5.а. If the
expert considers that
l
+
1
l
1
b
a
()
μ
b
<
1
+
l
+
1
,
l
+
1
1
2
a
a
then boundaries are to be selected as the functions shown in Fig. 2.5.b.
l
+
1
l
 
Search WWH ::




Custom Search