Information Technology Reference
In-Depth Information
1
1
1
1
1
⎛
⎞
⎛
⎞
1
p
2
2
p
L
2
2
θ
=
b
x
−
x
x
+
x
−
b
x
−
x
x
+
x
;
⎜
⎝
⎟
⎠
⎜
⎝
⎟
⎠
~
~
2
j
1
j
1
jL
jL
j
1
j
1
jL
jL
a
X
3
12
6
6
20
p
j
1
1
1
1
1
⎛
⎞
⎛
⎞
2
p
2
2
p
R
2
2
θ
=
b
x
+
x
x
+
x
+
b
x
+
x
x
+
x
⎜
⎝
⎟
⎠
⎜
⎝
⎟
⎠
~
~
2
j
2
j
2
jR
jR
j
2
j
2
jR
jR
a
X
3
12
6
6
20
p
j
p
=
1
m
j
=
1
m
with
,
, and
1
1
1
⎛
⎞
1
p
θ
=
b
x
x
−
x
x
−
x
x
+
x
x
−
⎜
⎝
⎟
⎠
~
~
~
j
1
t
1
j
1
tL
t
1
jL
jL
tL
a
X
X
6
6
12
p
j
t
1
1
1
1
⎛
⎞
p
L
−
b
x
x
−
x
x
−
x
x
+
x
x
;
⎜
⎝
⎟
⎠
j
1
t
1
j
1
tL
t
1
jL
jL
tL
6
12
12
20
1
1
1
⎛
⎞
2
p
θ
=
b
x
x
+
x
x
+
x
x
+
x
x
+
⎜
⎝
⎟
⎠
~
~
~
j
2
t
2
j
2
tR
t
2
jR
jR
tR
a
X
X
6
6
12
p
j
t
1
1
1
1
⎛
⎞
p
R
+
b
x
x
+
x
x
+
x
x
+
x
x
⎜
⎝
⎟
⎠
j
2
t
2
j
2
tR
t
2
jR
jR
tR
6
12
12
20
(
)
m
m
+
1
p
=
m
+
1
,
t
=
1
m
−
1
j
=
2
m
,
t
≠
j
,
t
<
j
.
with
2
(
)
(
)
2
2
with
2
1
, and
Let us denote
C
−
D
+
C
−
D
ρ
1
1
2
2
[
]
M
m
(
)
(
)
2
2
∑∑
==
i
j
i
j
i
j
i
j
A
11
−
B
+
A
−
B
1
1
2
2
i
j
2
1
with
ρ .
Unknown parameters of membership functions
()
(
{
)
}
μ
x
≡
x
,
x
,
x
,
x
of
j
j
1
j
2
jL
jR
the reference pattern are found from a solution of an optimization problem
2
1
2
2
ρ
+
ρ
→
min
x
−
x
≥
0
x
+
x
≤
1
x
≥
0
x
≥
0
Under conditions
j
1= .
We offer to use the reference pattern gi
ven
in the form of a group of fuzzy
numbers
,
,
,
,
m
j
1
jL
j
2
jR
jL
jR
()
(
{
)
}
μ
x
≡
x
,
x
,
x
,
x
=
for the comparative analysis of
real evaluations of objects with the pattern, obtaining of rating points and
development of the operating actions aimed at success of objects within the limits
of the final characteristic
Y
.
Let us denote th
e w
eighed segments of evaluations of
n
-th object [or fuzzy
numbers
,
j
1
m
j
j
1
j
2
jL
jR
()
(
{
)
}
n
j
X
μ
n
j
x
≡
a
n
j
,
a
n
j
,
a
n
jL
,
a
n
jR
,
n
=
1
N
with membership functions
,
1
2
[
]
n
j
n
j
A
1
,
A
n
=
1
N
,
j
=
1
m
] with
,
j
=
1
m
, and
2
1
(
)
1
(
)
2
2
n
j
n
j
B
−
A
+
B
−
A
,
j
1
1
j
2
2
2
2
