Information Technology Reference
In-Depth Information
We see immediately that
A
2
(
◦
,
∗
)
=
A
(
◦
,
∗
)
A
=[
K
∪
(
K
−
L
),
L
∪
(
L
−
K
),
{
c
t
u
,v
w
}]
= [
K
,
L
,
{
c
t
u
,v
w
}]
where
c
t
u
,v
w
=
◦
l
j
=
p
r
∈
L
∩
P
a
k
i
,
l
j
∗
b
p
r
,
q
s
and for
n
≥
2:
A
n
+
1
(
◦
,
∗
)
=
A
n
(
◦
,
∗
)
(
◦
,
∗
)
A
.
Structural subtraction
A
B
=[
K
−
P
,
L
−
Q
,
{
c
t
u
,v
w
}]
,
where “-” is the set-theoretic difference operation and
c
t
u
,v
w
=
a
k
i
,
l
j
,
for
t
u
=
k
i
∈
K
−
P
and
v
w
=
l
j
∈
L
−
Q
.
α
Multiplication with a constant
α
A
=[
K
,
L
,
{
α
a
k
i
,
l
j
}]
,
where
α
is a constant.
Termwise subtraction
A
−
(
+
)
B
=
A
⊕
(
+
)
(
−
1
)
B
.
The operation(s) in the sub-index of the operation between IMs, determine(s) the
type of operation between the resultant IM-elements.
In the case of
.
It is worth mentioning that for two IMs
A
and
B
, such that
K
(
0
,
1
)
-IM,
◦
,
∗∈{
min
,
max
}
∩
P
=
L
∩
Q
=∅
,
⊕
(
+
)
=
⊕
(
×
)
=
⊕
(
max
)
=
⊕
(
min
)
.
A
B
A
B
A
B
A
B
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