Information Technology Reference
In-Depth Information
the number
as pointwise rating of manifestation of qualitative characteristic
C
j
X
for
j
-th group of objects,
j
=
1
k
.
Let us determine normalized rating
E
of manifestation of qualitative
characteristic
X
for
j
-th group of objects by the formula
C
−
B
j
1
B
E
=
.
(5.27)
j
B
−
m
1
The evaluation
E
is referred to as an average intensity degree of manifestation
of characteristic
X
for
j
-th group of objects. Range of
E
is a segment [0, 1].
5.4 O btai ni ng of Rati ng Po ints of G roups of Objects
5.4 Obtaining of Rating Points of Groups of Objects within the
Limits of Several Qualitative Characteristics
In §5.3 the method of obtaining rating points of groups of objects within the limits
of one qualitative characteristic is described; in § 5.4 the method of obtaining rat-
ing points of groups of objects within the limits of several qualitative characteris-
tics is offered.
Let us consider
k
groups of objects for which intensity of manifestations of
qualitative characteristics
X
,...,
1
are estimated. Let us estimate characteristics
within the limits of verbal scales with number of levels
X
n
k
,
k
,...,
k
. Let us de-
note a relative number of objects of
j
-th group, referred to
j
-th level of a
verba
l
1
2
m
p
ij
j
=
1
k
k
p
=
1
m
scale while estimating characteristic
,
, with
,
i
=
1
k
,
,
X
p
p
, and a relative number of objects of all groups, referred to
j
-th level of a
verbal scale while estimating characteristic
p
=
1
m
k
p
j
k
p
j
X
, with
. Based on
, let us
p
p
j
construct
m
COSS
μ
. Let us com-
pute membership function of the fuzzy rating describing intensity of manifestation
of qualitative characteristic
X
with membership functions of term-sets
p
for
i
-th group of objects by the formula
X
p
p
i
p
p
p
p
p
ik
p
k
λ
=
k
⊗
μ
⊕
k
⊗
μ
⊕
...
⊕
k
⊗
μ
,
i
=
1
k
.
(5.28)
i
1
1
i
2
2
p
p
Let us denote weight coefficients (importance coefficients) of characteristics
,
X
p
ω
Σ
ω
=
1
. Let us define membership function of the fuzzy rat-
ing describing intensity of manifestation of qualitative characteristics
with
,
p
=
1
m
p
p
X
,...,
1
X
m
for
i
-th group of objects, as follows:
1
m
i
λ
=
ω
⊗
λ
⊕
...
⊕
ω
⊗
λ
.
i
1
i
m
(5.29)
