Information Technology Reference
In-Depth Information
A
and
A
(
◦
,
∗
)
(
◦
,
∗
)
The EIMs
A
A
are square EIMs. For example, if
cd
a
αβ
A
=
,
b
γδ
e
εζ
then
abc
A
=
d
αγε
e
βδη
and
a
b
c
2
2
a
α
+
β
αγ
+
βδ αε
+
βζ
A
=
A
(
+
,
×
)
2
,
2
b
αγ
+
βδ
γ
γε
+
δζ
2
c
αε
+
βζ γε
+
δζ ε
+
ζ
while
d
e
A
(
+
,
×
)
2
2
2
A
=
d
α
+
γ
+
ε
αβ
+
γδ
+
εζ
2
.
2
2
b
αβ
+
γδ
+
εζ β
+
δ
+
ζ
3.8 An Example: An Intercriteria Decision Making Method
Following [22], the intercriteria decision making method, introduced by Deyan
Mavrov, Vassia Atanassova and the author, is described.
Let us have an IM
O
1
...
O
k
...
O
l
...
O
n
C
1
a
C
1
,
O
1
...
a
C
1
,
O
k
...
a
C
1
,
O
l
...
a
C
1
,
O
n
.
.
.
.
.
.
.
.
C
i
a
C
i
,
O
1
...
a
C
i
,
O
k
...
a
C
i
,
O
l
...
a
C
i
,
O
n
A
=
,
.
.
.
.
.
.
.
.
C
j
a
C
j
,
O
1
...
a
C
j
,
O
k
...
a
C
j
,
O
l
...
a
C
j
,
O
n
.
.
.
.
.
.
.
.
...
...
...
C
m
a
C
m
,
O
1
a
C
m
,
O
k
a
C
m
,
O
l
a
C
m
,
O
n
where for every
p
,
q
,(
1
≤
p
≤
m
,
1
≤
q
≤
n
)
:
•
C
p
is a criterion, taking part in the evaluation,
•
O
q
is an object, being evaluated.
•
a
C
p
,
O
q
is a real number or another object, that is comparable about relation
R
w
ith
the other
a
-objects, so that for each
i
is defined. Let
R
be
the dual relation of
R
in the sense that if
R
is satisfied, t
he
n
R
is not satisfied and
vice versa. For example, if “
R
” is the relation “
,
j
,
k
:
R
(
a
C
k
,
O
i
,
a
C
k
,
O
j
)
<
>
”, then
R
is the relation “
”, and
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