Multi Criteria Choice and Ranking of the Objects for Socio-Economic
Studies
TALGAT KUSSAIYNOV
S. Seifullin Kazakh Agricultural University
Nur-Sultan
KAZAKHSTAN
Abstract:- Socio-economic studies of rural areas due to their natural and economic heterogeneity combined
with the territorial dispersion of the population require the involvement of sufficiently large resources. As a
rule, the resources for socio-economic studies are limited. Those facts raise the question of choosing objects
from a variety of similar ones. The choice of a pilot object for research and testing of various socio-economic
programs is a multi-criteria task. The aim of the study is to develop a chain of methodological techniques and
procedures that provide the selection of the most suitable objects for social studies based on a set of criteria.
Methods and procedures of mathematical and statistical analysis are used. Well-known methods based on the
calculation of normalized distances of feature values to the corresponding "reference" values, as well as the
method of the analytical hierarchical process, were subjected to critical analysis. A method has been developed
which combines the advantages of currently available approaches. It is concluded that the method allows taking
into account the objective and subjective components of the choice problem as effectively as possible and
strengthens the scientific validity of the selection of appropriate rural territories for the implementation of pilot
socio-economic projects. The method has been developed and tested on the materials of the region of Northern
Kazakhstan; and it allows ranking the territories according to any set of criteria.
Key-Words: methodology, model, criterion, multi-criteria choice, ranking, socio-economic objects.
Received: August 9, 2021. Revised: March 11, 2022. Accepted: April 13, 2022. Published: May 6, 2022.
1 Introduction
In countries such as Kazakhstan, the population is
geographically scattered over a large area with
extremely different natural and climatic conditions.
The population of Kazakhstan is dispersed over an
area of more than 2.7 million square kilometers. A
huge part of the country's population - 41.6% of the
total - still lives in rural areas [3]. At the same time,
the incomes of those employed in the agricultural
sector are the lowest: 57.4% of the average level
for all sectors [4]. Socio-economic studies of rural
areas due to their natural and economic
heterogeneity combined with the territorial
dispersion of the population require the
involvement of sufficiently large resources. The
limited resources for research inevitably raise the
question of the selection of objects for study.
Moreover, the selection process is complicated by
the need to take into account a number of criteria.
And, for example, in order to develop and
implement adequate, effective socio-economic
programs in rural regions, it is first necessary to
accurately determine the place and severity of
depression and poverty. The main source of income
for rural residents of Kazakhstan is agricultural
entrepreneurship. The success of entrepreneurship
is determined by a number of factors, primarily the
availability of natural agricultural resources, as well
as the state of human capital [2], [7], [8], [10]. The
formation of a viable economic model of a rural
territory involves, first of all, taking into account
the quality and characteristics of human capital.
Well-known studies of researchers during the
soviet period on this issue reflected the problems of
the Soviet period and mainly concerned the
consolidation of state farms-collective farms, the
liquidation of "unpromising" villages [6]. The
modern publications on the problem consider
various scientific and practical aspects of the socio-
economic development of the village [1], [9], [12].
However, the methodological aspects of multi-
criteria selection and ranking of socio-economic
objects to test various socio-economic programs, as
a rule, remain without due attention. In short, the
practical impossibility of a thorough continuous
study of socio-economic systems due to limited
resources raises the question of choosing objects
from a variety of similar ones. And, the method
which allows to take into account the objective and
subjective components of the choice problem and
strengthens the scientific validity of the selection
process is in need. The aim of the study is to
develop a chain of methodological techniques and
procedures that provide the selection of the most
suitable objects for social studies based on a set of
criteria.
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.96
Talgat Kussaiynov
E-ISSN: 2224-2899
1099
Volume 19, 2022
The topic under discussion has not only
theoretical value - it is significant primarily in a
practical sense. It should be noted that in this article
the task of multi-criteria selection of objects for
research is considered in the context of the problem
of identification of potentially depressed rural areas
in the conditions of Northern Kazakhstan.
However, the developed methodological techniques
and procedures can be used to solve other similar
problems.
2 Materials and Methods
Currently, there are two approaches to solving this
problem in the literature. Each of them is based on
ideas that are quite disputable. The first approach is
based on the formation of some ideal reference
options; the best values of the criteria are taken as
reference options [11]. Then the distances between
the values of the criteria in each of the considered
options and their corresponding values of the
reference option are measured. Further, the
found distances are "normalized", that is, they are
reduced to a relative indicator by dividing the
distances by the corresponding reference values:
 󰇻
 󰇻, (1)
where the normalized distance between the
value of the criterion and its reference value
according to the option.
The option that has the smallest sum of the
absolute values of the normalized distances is
considered to be the closest to the “etalon” and
therefore is considered optimal. The methodology
finds its application in solving multi-criteria tasks
in which (a) the search for the best (most
promising) alternatives is conducted and (b)
different criteria taken into account in the selection
process have equal priorities.
Another approach to solving the problems of
multi-criteria selection of the best option is called
the analytical hierarchical process; the method
became famous abroad, mainly in the United States
of America (the calculation procedure is given in.
The method allows us to find a solution to the
problem in several stages. At the first step, the
weights of the criteria are evaluated. To do this, a
matrix of numbers is constructed, representing
pairwise estimates of the preference of criteria
relative to each other. Moreover, the weights are
calculated so that in total they turn out to be equal
to one. Further, numerical estimates of alternatives
relative to each of the criteria are given on a certain
scale. Then the estimates of alternatives relative to
each criterion are "normalized" so that for each
criterion in total they give one. At the third stage,
the sum of normalized estimates weighted by the
importance of the criteria (found at the first stage)
is calculated for each alternative. Alternatives are
ranked according to weighted sums of estimates.
The key feature of the methodology is the
calculation of weights of criteria and "normalized"
estimates of alternatives based on an arbitrarily
taken point scale. In other words, the calculation
procedure is based solely on subjective estimates of
preferences. Another feature of the approach is that
there may be some incompatibility of estimates in
the matrix of comparative estimates of criteria.
The methodological techniques and calculation
procedures proposed below combine the
advantages of the above approaches to solving the
problem and allow (a) to significantly level
subjectivity in the evaluation of choice options and
(b) are applicable when choosing the most
problematic alternatives that require studying and
finding ways to improve their condition. As well
as the considered first method of choosing the best
option, the methodology is based on the
"normalization" of the distances between the actual
(observed) values of the criteria and their critical
(reference) values. However, further calculations
are carried out taking into account the weights of
each of the criteria. The weights of the criteria are
determined using the following calculation
procedure:
(1) a matrix of numbers is formed, representing
pair-wise comparative estimates of the criteria. The
comparison is carried out on a scale from 1 to 9
(you can take another interval, say, from 1 to 100:
the essence of the method will remain unchanged).
These numbers indicate a quantitative assessment
of how much one criterion is more important than
another for a given expert or a decision-maker.
Let's denote these numbers by , where and
are the numbers of the criteria being compared. In
this case,  means that the criteria and are
equally important;  means the absolute
superiority of criterion over criterion . The
interpretation of the values of  is given in Table
1. If it turns out that criterion is less important
than criterion then the inverse value of the
corresponding index from Table 1 should be used
to numerically reflect the ratio. For example, if
criterion is noticeably less important than
criterion , then 
. The  score of the ratio
of criteria and is equal to
, that is
=
 . (2)
The interpretation of the values of  in the
matrix of pair-wise comparisons is as follows:
 means that criteria and are equally
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.96
Talgat Kussaiynov
E-ISSN: 2224-2899
1100
Volume 19, 2022
important,  means that criterion is slightly
more important than criterion ,  means that
criterionis noticeably more important than
criterion ,  means that criterion is
significantly more important than criterion , 
means that criteria absolutely prevails over
criterion .And finally, comparing each criterion
with itself gives 1; in other words,  .
Thus, the matrix of coefficients of pair-wise
comparisons of criteria (let's denote it ) in general
looks like this:
mm
mm
m
m
a
aa
aa
a
aaa
A
...
11 ............
...
1...
21
222
12
11211
; (3)
(2) using the given matrix of comparative
estimates, we calculate the weights of each of the
criteria according to the following scheme:
calculate the sum of the numbers for each
column of the matrix :

 ; (4)
divide the numbers  from column by
their corresponding sum, . Thus, we get a
normalized matrix , consisting of the
elements

 
, , (5)
that is,
norm
mm
norm
m
norm
m
norm
m
normnorm
norm
m
normnorm
norm
aаа
aаа
ааа
A
...
............
...
...
21
22221
11211
. (6)
In this case, the sum of the numbers in the columns
of the normalized matrix is equal to one, that is,

  ; (7)
calculate the average of the numeric
elements for each row of the normalized
matrix:


 . (8)
The obtained values , are the
numerical values of the weights of the
corresponding criteria.
Further analysis is based on the fact that for
each object, the sum of the normalized distances
between the values of the criteria to their
corresponding critical values is calculated, taking
into account the weights. The resulting total
distances are then used to rank objects: the greater
the total distance, the greater the priority of the
object for research. After calculating the weights of
the criteria, the procedure for ranking and selecting
the most priority object for analysis is carried out in
the following order:
(a) we calculate the total normalized distance
between the values of the features and their critical
values for each object, taking into account the
weights of the criteria according to the formula

 , , (9)
where is the normalized distance between the
criterion value and its critical value for the object
; isnumber of criteria; isnumber of options to
choose from; is weight of the criterion ; the
value  is calculated by the formula (1), in this
case, the reference value of the criterion is replaced
by the critical value in the context of a specific
problem;
(b) from the obtained values , , the
largest one is selected. The corresponding object
should be considered the highest priority for the
purposes of the project.
The data reflecting the number of rural
population, the share of youth aged 16-29 years in
the structure of the rural population, the volume of
agricultural products produced in the rayons of
Akmola and North-Kazakhstan oblasts of the
Republic of Kazakhstan for 2014-2020 have been
used (Table 1). The presence of urban-type
settlements in certain rural areas suggests a
breakdown of the totality of the considered rayons
into groups according to the degree of ruralization
of the population. To assess the ruralization of the
rayon, such a characteristic as the share of rural
residents in the total population of the territorial
unit has been used. These groups of rayons are
considered separately in the calculations.
Techniques and procedures based on the
normalization of the distances of the values of each
of the criteria to the corresponding critical values,
pair-wise comparison of the priority of the criteria
and calculation of the weights of each of them have
been applied.
There are 17 rural rayons in Akmola oblast. The
task is to rank the rayons in accordance with a set
of criteria, followed by the selection of the highest
priority as an object of research to find ways to
improve the economic prospects of the rural
population. The calculations were carried out using
4 types of data: the ruralization of the rayon
population, the number of rural population, the
share of youth (16-29 years old) in the number of
rural population, the volume of agricultural
products produced in the rayon. Data of the first
type were used to classify rayons according to their
degree of ruralization. The second and third types
of data allow us to assess the state and prospects of
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.96
Talgat Kussaiynov
E-ISSN: 2224-2899
1101
Volume 19, 2022
human capital in the rayons in general terms. The
fourth one reflects in an integrated form the agro-
economic conditions (quantity, quality and
availability of resources, market infrastructure).
These data correspond to the year of 2020.
3 Results and Discussion
It follows from the data in Table 1 that there are
two types of rural areas in the region: (a) with the
presence of urban settlements, and (b) absolutely
rural, where there are no urban settlements of any
form.
For each of the two groups, we make
calculations on the ranking of rayons according to
three criteria: the number of rural population, the
share of youth aged 16-29 in the total number of
rural population, the volume of agricultural
production. The minimum values of the first two
criteria and the maximum value of the third
criterion are accepted as critical for use in the
analysis.
Table 1. Rural rayons of Akmola oblast and criteria for their assessment.
No.
Assessment criteria
Ruralization of
the rayon*, %
The number of
rural population,
people
Percentage of
youth aged 16-
29 years, %
The volume of
agricultural
production,
thousand tenge
1
46,1
11838
19,1
25 697 600
2
100,0
27613
17,9
33 499 900
3
100,0
23393
18,2
45 528 900
4
39,8
18925
20,3
45 594 100
5
47,9
16177
20,4
54 722 900
6
37,5
28095
17,7
39 137 400
7
100,0
6008
18,3
28 725 300
8
75,0
10449
19,4
31 154 700
9
65,6
17127
20,1
21 521 600
10
56,2
13282
18,9
39 207 900
11
100,0
18768
20,3
46 052 400
12
57,3
7776
18,6
43 683 300
13
100,0
38097
18,9
52 600 800
14
100,0
8660
19,6
16 236 400
15
100,0
17951
17,5
48 497 400
16
100,0
79949
19,1
57 445 500
17
100,0
29223
17,6
32 447 700
* the share of the rural population
In accordance with the methodology, we first
calculate the distances between the values of the
criteria and their corresponding critical values in
each of the considered areas. The calculation
results are shown in Table 2.
Table 2. Distances to the critical values of the criteria by rural rayons.
No.
Ruralrayon
Criteria
The number of
rural population,
people
Percentage of youth
aged 16-29 years, %
The volume of agricultural
production, thousand tenge
Rayons of the first type (with the presence of urban settlements)
1
Akkol
4062
1,4
29 025 300
2
Atbasar
11149
2,6
9 128 800
3
Bulandy
8401
2,7
0
4
Burabay
20319
0,0
15 585 500
5
Enbekshilder
2673
1,7
23 568 200
6
Yereimentau
9351
2,4
33 201 300
7
Essil
5506
1,2
15 515 000
8
Zharkaiyn
0
0,9
11 039 600
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.96
Talgat Kussaiynov
E-ISSN: 2224-2899
1102
Volume 19, 2022
The critical value
7776
17,7
54 722 900
Rayons of the second type (with the absence of urban settlements)
1
Arshaly
21605
0,44
23945600
2
Astrakhan
17385
0,74
11916600
3
Egindykol
0
0,81
28720200
4
Zhaksy
12760
2,76
11393100
5
Zerendi
32089
1,45
4844700
6
Korgalzhyn
2652
2,10
41209100
7
Sandyktau
11943
0,00
8948100
8
Tselinograd
73941
1,62
0
9
Shortandy
23215
0,05
24997800
The critical value
6008
17,5
57 445 500
Then, the distances found must be "normalized",
that is, reduced to a relative indicator by dividing
the distances by the corresponding critical values
according to the formula (1). The results of the
calculations are presented in Table 3.
Table 3. “Normalized distances to the critical values of the criteria by rural rayons.
No.
Rural rayon
Criteria
The number of
rural population,
people
Percentage of youth
aged 16-29 years, %
The volume of agricultural
production, thousand tenge
Rayons of the first type (with the presence of urban settlements)
1
Akkol
0,343
0,075
1,129
2
Atbasar
0,589
0,128
0,200
3
Bulandy
0,519
0,134
0,000
4
Burabay
0,723
0,000
0,398
5
Enbekshilder
0,256
0,089
0,756
6
Yereimentau
0,546
0,120
1,543
7
Essil
0,415
0,062
0,396
8
Zharkaiyn
0,000
0,049
0,253
Rayons of the second type (with the absence of urban settlements)
1
Arshaly
0,782
0,025
0,715
2
Astrakhan
0,743
0,041
0,262
3
Egindykol
0,000
0,044
1,000
4
Zhaksy
0,680
0,136
0,247
5
Zerendi
0,842
0,076
0,092
6
Korgalzhyn
0,306
0,107
2,538
7
Sandyktau
0,665
0,000
0,185
8
Tselinograd
0,925
0,085
0,000
9
Shortandy
0,794
0,003
0,770
To assess the priority of the criteria, local
experts from rural areas were involved. Pair-wise comparative estimates of the criteria are shown in
Table 4.
Table 4. Pair-wise comparative estimates of the criteria.
Criterion
The number of
rural population
Share of youth aged
16-29 years
The volume of agricultural
production
The number of rural
population
1,00
0,33
0,14
Share of youth aged 16-29
years
3,00
1,00
0,20
The volume of agricultural
production
7,00
5,00
1,00
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.96
Talgat Kussaiynov
E-ISSN: 2224-2899
1103
Volume 19, 2022
It follows from table 4 that, according to
experts, the criterion "Volume of agricultural
production" has priority over two other criteria: to a
greater extent over the total population and to a
lesser extent over the proportion of young people in
the rayon. In turn, the criterion "The proportion of
youth aged 16-29 years" takes precedence over the
criterion for the total population. This prioritization
is consistent with common sense, since (a)
agricultural production is the main source of
income, (b) the proportion of young people in the
total population indicates the prospects of the
rayon: the more young people, the greater the
prospects of the rayon, and vice versa. Of course,
with a different formulation of the task, the
prioritization would be different.
Further, based on the estimates obtained, it is
necessary to form a normalized matrix and
calculate the weights of the criteria. For this, a
scheme is used, represented by a sequence of
formulas (4) - (8). Table 5 presents the results of
the corresponding calculations. The last column of
Table 5 contains the estimated weights of the
criteria: agricultural production received the highest
priority (0.724), followed by the share of young
people aged 16-29 in the total rural population
(0.193) and the rural population (0.083).
Table 5. Normalized matrix of estimates of pairwise comparisons of criteria by priority.
Criterion
The number
of rural
population
Share of youth aged
16-29 years
The volume of
agricultural production
Row average
criterion weight, wi
The number of
rural population
0,091
0,052
0,104
0,083
Share of youth aged
16-29 years
0,273
0,158
0,149
0,193
The volume of
agricultural
production
0,636
0,790
0,746
0,724
According to the methodology, the rayon with
the largest total normalized distance enjoys the
highest priority. The results of calculations
according to the proposed method are shown in
Table 6 (the ranking is carried out in descending
order).
Table 6. Total normalized distances taking into account weights (ranked in descending order) across rayons of
the Akmola oblast.
No.
Rural rayon
Distance
No.
Rural rayon
Distance
Rayons of the first type (with the presence of urban
settlements)
Rayons of the second type (with the absence of
urban settlements)
1
Yereimentau
1,19
1
Korgalzhyn
1,88
2
Akkol
0,86
2
Egindykol
0,73
3
Enbekshilder
0,59
3
Shortandy
0,62
4
Burabay
0,35
4
Arshaly
0,59
5
Essil
0,33
5
Zhaksy
0,26
6
Atbasar
0,22
6
Astrakhan
0,26
7
Zharkaiyn
0,19
7
Sandyktau
0,19
8
Bulandy
0,07
8
Zerendi
0,15
9
Tselinograd
0,09
As for the group of rayons with the presence of
urban settlements, Yerementau rayon is the most
priority for the concentration of measures to
improve the economic conditions of rural rayons.
As to the group of rayons that do not have urban
settlements, Korgalzhyn rayon is given the first-
degree priority.
As already noted, the matrix of pairwise
comparative estimates (3) may have some
incompatibility. Obviously, the degree of
incompatibility will tend to increase as the number
of criteria taken into account increases. The
question is how acceptable the weights of the
criteria calculated on their basis will be in terms of
reliability. Therefore, there is a need for a
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.96
Talgat Kussaiynov
E-ISSN: 2224-2899
1104
Volume 19, 2022
preliminary check of the matrix for the
incompatibility of estimates. Some researchers
suggest introducing the CI incompatibility index
into the analysis [13]. The verification procedure
consists of the following steps:
(a) the vector  is calculated by multiplying
the matrix of estimates and the vector of
weights :
mm
mm
mm
m
m
v
v
v
w
w
w
a
aa
aa
a
aaa
Aw ......
...
11 ............
...
1...
2
1
2
1
21
222
12
11211
; (10)
(b) find the value

; (11)
(c) calculate the incompatibility index
 
; (12)
(d) find the ratio of the calculated index 
to its tabular value  for a given number of
criteria:

. (13)
The  tabular index is calculated as the
average of the indexes calculated as follows:
(e) using a random number generator, the
matrix A is repeatedly formed under the conditions
that  for all and 
 ;
(f) on the basis of each randomly generated
matrix, in accordance with the above procedure, the
 incompatibility indices are calculated, which are
then averaged.
Note that the index size depends on the number
of criteria in the problem: the larger , the higher
the index.
As can be seen from the formula for calculating
the incompatibility index, at R=0, there is no
incompatibility at all. This is achieved when the
equality takes place. The greater the R, the
more significant the incompatibility. The general
rule for choosing the threshold level of
incompatibility: the closer the value of R is to zero,
the more reliable the matrix of comparative
estimates is. The recommended threshold value is
R<0.1.
As one can see, the procedure for analyzing
estimates for consistency is very time-consuming.
At the same time, it should be emphasized that the
presence of some inconsistency of estimates does
not affect the procedure for further calculations in
any way. It is also obvious that the degree of
incompatibility of the assessment matrix directly
depends on the qualification and thoroughness of
the work of experts who conduct such assessments.
Therefore, it is very important to involve qualified
experts in the analysis from the very beginning.
Thus, the advantage of the proposed
methodological techniques and procedures in
comparison with the existing approaches is that
they allow considering both objective and
subjective components of the selection process.
Moreover, they make it possible to impart more
objectivity to the subjective component by
quantifying subjective assessments.
The presented scheme and procedures for
solving the problem of multi-criteria selection
claim to be universal in the sense of applicability to
a variety of conditions in which rural socio-
economic systems (county, rayon, etc.) function.
The methodology allows using a variety of criteria,
and their number is in principle unlimited.
However, considerations of practicality and
convenience of calculations may require limiting
the number of criteria used, depending on the
natural, economic and social conditions of the
territories. Therefore, further research is of interest
to identify the most important criteria and their
typification by natural and economic zones of the
countries and regions concerned.
4 Conclusion
The resources allocated for socio-economic
research and the implementation of pilot projects
are usually limited. Therefore, when implementing
such projects in regions characterized by
heterogeneity of rural territories and scattered
population, it is important to have a methodology
that allows assessing and selecting the most
appropriate socio-economic systems.
Selection of a pilot object for research and
approbation of various socio-economic programs is
a multi-criteria task. The proposed methodology
allows us to take into account any numerically
representable characteristics of socio-economic
systems in the analysis. It combines the advantages
of currently available approaches to solving the
problem of multi-criteria choice and allows us to
level out subjectivism and strengthen the objective
component and scientific validity of the process of
ranking and selecting the systems.
Acknowledgement:
The author expresses his gratitude to the team of
the research project "Methodology of analysis and
optimization of the rural county socio-economic
model (based on the materials of the Northern
Kazakhstan)" for the assistance in collecting data
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.96
Talgat Kussaiynov
E-ISSN: 2224-2899
1105
Volume 19, 2022
on socio-economic development of rural areas of
the region. The research has been funded by the
Science Committee of the Ministry of Education
and Science of the Republic of Kazakhstan (Grant
No. AP09259525).
References:
[1] Akimov V., Makenova S., Muzyca O.
Management of sustainable development of
rural territories. Problems of the AgriMarket 3:
2018, pp. 61-65 (in Russian)
[2] Becker, G. Human Capital: A theoretical and
empirical analysis with special reference to
Education. The University of Chicago Press,
1994, pp. 412.
[3] Bulletin the Committee on Statistics of the
Ministry of National Economy of the Republic
of Kazakhstan (2020a). The population of the
Republic of Kazakhstan by regions, cities and
rayons. URL:
http://stat.gov.kz/official/industry/61/statistic/5
(date of access: 25.11.2020).
[4] Bulletin of the Committee on Statistics of the
Ministry of National Economy of the Republic
of Kazakhstan (2020b). Structure and
distribution of wages of employees in the
Republic of Kazakhstan. URL:
http://stat.gov.kz/official/industry/25/statistic/5
(date of access: 25.11.2020).
[5] Epstein D., Zabutov S. Positive scale effect in
agricultural organizations. Agro-industrial
complex: economics, management 10,
2011,pp. 28-33 (in Russian).
[6] Golikov N., Dvoskin B., Spector M. Problems
of population settlement in Kazakhstan. Alma-
Ata: Nauka, 1989. 247 p. (in Russian)
[7] Khmeleva G. Human capital as a condition for
the formation of the innovative economy of
the region. Samara: SAGMU,2012, pp.168. (in
Russian)
[8] Kusainov T., Zhakupova Zh. Influence of the
quality of human capital on the efficiency of
the economy of Kazakhstan. Society and
Economy 6, 2019,pp. 45-59 (in Russian).
[9] Qaliev G., Akimbekova Sh.Social
development of rural territories of the
Republic of Kazakhstan. Problems of the
AgriMarket 2, 2018,pp. 7-13 (in Kazakh).
[10] Schultz T.W. Investment in Human Capital:
The Role of Education and of Research. New
York: Free Press, 1971, pp. 272.
[11] Sharpe W., Alexander G., Bailey J.
Investments. Prentice Hall, 1998,pp. 962.
[12] Spector M. The effect of concentration.
Astana: Foliant, 2018,pp. 340 (in Russian).
[13] Winston, W.L., Albright, S.C. Practical
Management Science. Spreadsheet Modeling
and Applications. N.Y.: Duxbury Press, 1997,
pp.796.
Sources of Funding for Research Presented in a
Scientific Article or Scientific Article Itself
The research has been funded by the Science
Committee of the Ministry of Education and
Science of the Republic of Kazakhstan (Grant No.
AP09259525).
Creative Commons Attribution License 4.0
(Attribution 4.0 International, CC BY 4.0)
This article is published under the terms of the
Creative Commons Attribution License 4.0
https://creativecommons.org/licenses/by/4.0/deed.e
n_US
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.96
Talgat Kussaiynov
E-ISSN: 2224-2899
1106
Volume 19, 2022