IEEE Systems, Man and Cybernetics Magazine - July 2022 - 55

xq
l -
x = 1- y2h
2h
+= -+ --
&
2h 11 2^^hh (12)
+ q
l
Similarly, for y :1h
yB hB yx
Bh By
11 h
=- -=
-- -^1
^
^
h^
xq
l
-
11 h^
follows:
x
3 11 3
h
= -- --
r
^^
^hhh
Bh By
xq
+ q .
(14a)
1hh
h& 1h
+ q .
(13)
Therefore, the right-hand side can be obtained as
qx Bh yB
xq
x
4 11 4
h
= -+ --
r
^^
^hhh
Bh yB
xq
+ q .
value, the equations can be expressed as follows:
.
x =t 1h
x =t 2h
x =t 3h
11 h^
tli
_
^
11 h^ t 2
_ t
^
ri
11 h^
_
^
-- --
li
tt
t
t
Bh By
xBy
-- --
--
--
1hi
Bh
yB
xBy
tt t
t
Bh By
xBy
t hi
3hi
+ Byi
+Byi
+Byi
.
.
(14b)
If the same calculation is derived for the predicted
(15a)
(15b)
(15c)
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
1
0.9
0.8
0.7
12
0.6
0.5
0.4
0.3
6
0.2
4
0.1
2
0 0
Figure 4. An illustration of the H-cut of the TT2 fuzzy set (TT2FS) model.
Y
1
2
1
2h
1h
y2
y4
y2h
B
h
y1
y1h
x1h x2h X1
q
Figure 5. The membership function after applying an H-cut.
July 2022 IEEE SYSTEMS, MAN, & CYBERNETICS MAGAZINE 55
8
10
H
y3
Xr x3h
x4h

IEEE Systems, Man and Cybernetics Magazine - July 2022

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IEEE Systems, Man and Cybernetics Magazine - July 2022 - Contents
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