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()
a
≤
a
μ
x
a
>
a
Fig. 2.3
Membership function
under conditions:
a
—
;
b
—
1
1
2
1
2
()
Fig. 2.3 shows membership functions for special case
≤
x
.
Let us construct membership functions of COSS terms with linear boundaries,
i.e. we assume that
;
L
x
=
1
−
x
0
≤
1
()
()
. Graphs of these membership functions for
L
x
=
R
x
=
1
−
x
(
)
various relations between
a
l
l
=
1
m
are shown in Fig. 2.1 - 2.3.
(
)
b
.
Let us denote
min
a
l
a
,
,
l
=
1
,
m
−
1
by
l
+
1
Then
