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for the case of positive consonance between criteria C i and D and
1
2 (
y i
=
b D , O j
b D , O k )
for the case of negative consonance between these criteria.
Second Algorithm
2.1. Determine those objects O j , for which for each i
(
1
i
p
)
: a C i , O j
x i and
those objects O k , for which for each i
(
1
i
p
)
: a C i , O k
x i .
2.2. Determine object O r , so that a C i , O r
is the highest a -element from the determined
x i .
2.3. Determine object O s , so that a C i , O s
in Step 2.1 and a C i , O r
is the lowest a -element from the determined
in Step 2.1 and a C i , O s
x i .
2.4. Determine
i = 1
p
x i
a C i , O r
b D , O s
b D , O r
b D , O r +
.
a C i , O s a C i , O r ,
if b D , O s
b D , O r
p
y
=
.
p
i = 1
a C i , O r
a C i , O s
x i
b D , Or
b D , Os
b D , O s +
.
a C i , O r ,
otherwise
p
Now we discuss two (standard) formulas for evaluation of the y -values. Let the
IM
O 1
...
O k
...
O n
C 1 a C 1 , O 1
...
a C 1 , O k
...
a C 1 , O n
.
.
.
.
.
.
B
=
C i
a C i , O 1
...
a C i , O k
...
a C i , O n
.
.
.
.
.
.
C p a C p , O 1
...
a C p , O k
...
a C p , O n
D
b D , O 1
...
b D , O k
...
b D , O n
be given.
1. For every k
(
1
k
n
)
we construct the IM
B k =
B
O k ) .
( ,
2. For every i (1
a C i , O k .
3. Using the two above described methods (for the fixed number k ), for B k and
x 1 ,...,
i
p ) we put x i
=
x p , we determine y -values y k , 1 ,
y k , 2 .
4. For s
(
s
=
1
,
2
)
, we determine numbers
z k , s =|
y k , s
b D , O k | .
 
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