PERFORMANCE ANALYSIS OF COMPANIES IN SERBIA BASED ON THE LMAW-DNMA METHOD
ANALIZA PERFORMANSI PREDUZEĆA U SRBIJI NA BAZI LMAW-DNMA METODA
Radojko Lukić1
ABSTRACT
Recently, the importance of applying multi-criteria decision-making methods in the economy has been increasing. With their help, more realistic results are achieved in the function of improvement in the future by applying relevant measures. Based on that, this paper analyzes the performance of companies in Serbia based on the LMAW-DNMA method. According to the results of the DNMA method, the top five companies in Serbia include: TELEKOM SRBIJA AD BELGRADE, DELTA HOLDING DOO BELGRADE, MK GROUP DOO BELGRADE, JP SRBIJAGAS NOVI SAD and HEMOFARM AD VRŠAC. The best performance was recorded at the company TELEKOM SRBIJA AD, BELGRADE. The company with the worst performance is YURA CORPORATION DOO RAČA. This positioning of companies in Serbia according to performance was influenced by numerous factors. These are: general economic conditions, inflation, interest rate, exchange rate, employment, living standards of the population, the Covid-19 pandemic, and the energy crisis. Likewise, the efficiency of human resource, asset, capital, sales and profit management. The application of new concepts of cost management (for example, calculation of costs by basic activities) and digitization of the entire business play a significant role in this. Effective control of these and other factors can significantly influence the achievement of the target performance of companies in Serbia.
Key words: performance, companies, Serbia, LMAW-DNMA method
SAŽETAK
U poslednje vreme sve je veći značaj primene metoda višekriterijumskog odlučivanja u ekonomiji. Pomoću njih se dolazi do realnijih rezultata u funkciji unapređenja u budućnosti primenom relevantnih mera. Polazeći od toga, u ovom radu se analiziraju performanse preduzeća u Srbiji na bazi LMAW-DNMA metoda. Prema rezultatima DNMA metodi u top pet preduzeća u Srbiji spadaju: TELEKOM SRBIJA A.D., BEOGRAD, DELTA HOLDING DOO BEOGRAD, MK GROUP DOO BEOGRAD, JP SRBIJAGAS NOVI SAD i HEMOFARM AD VRŠAC. Njabolje performanse su zabeležene kod preduzeća TELEKOM SRBIJA A.D., BEOGRAD. Sa najlošijim performansama je preduzeće YURA CORPORATION DOO RAČA. Na ovakvo pozicioniranje preduzeća u Srbiji prema performansama uticali su brojni faktori. To su: opšti uslovi privređivanja, inflacija, kamatna stopa, devizni kurs, zaposlenost, životni standard stanovništva, pandemija korona virusa Covid-19, i energetska kriza. Isto tako, i efikasnost upravljanja ljudskim resursima, aktivom, kapitalom, prodajom i profitom. U tome značajnu ulogu ima primena novih koncepata upravljanja troškovima (na primer, obračun troškova po baznim aktivnostima) i digitalizacija celokupnog poslovanja. Efikasnom kontrolom ovih i drugih faktora može se znatno uticati na ostvarenje ciljnih performansi preduzeća u Srbiji.
Key words: performanse, preduzeća, Srbija, LMAW-DNMA metoda
INTRODUCTION
The issue of company performance analysis is very challenging, complex and significant. Various methodologies are used: ratio analysis, statistical analysis, DEA analysis and multi-criteria decision-making methods. When analyzing the efficiency of companies, DEA models are used to a significant extent (Park, & Kim, 2022; Zohreh Moghaddas et al., 2022; Amirteimoori et al., 2022; Alam et al., 2022; Photos Čiković & Lozić, 2022; Sala-Garrido, 2023; Andersen, & Petersen, 1993; Banker et al., 1984; Chen et al., 2021, Chang et al., 2020; Guo, & Cai, 2020; Lee et al., 2011; Lin et al., 2020; Pendharkar et al., 2021; Tone, 2002; Dobrović et al., 2021; Podinovski et al., 2021; Rostamzadeh et al., 2021; Fenyves, & Tarnóczi, 2020; Amini et al., 2019; Tsai et al., 2021; Mandić et al., 2017; Martić, & Savić, 2001; Cooper et al., 1999; Amin, & Hajjami, 2021; Chen et al., 2018, 2020, 2021a,b, Đurić et al., 2020; Lukić 2022a,b,c; Radonjić, 2020; Stević et al., 2022; Stojanović et al., 2022; Rasoulzadeh et al., 2021). This is also the case with the analysis of the efficiency of companies in Serbia (Lukic et al., 2017, 2020; Lukic, 2018, 2021, 2022a,b, 2023; Lukic & Kozarevic, 2019; Lukic & Hadrovic Zekic, 2019; Vojteški Kljenak & Lukić, 2022) . DEA models provide a realistic picture of which companies are efficient and which are not and which measures should be taken in order to increase efficiency. Likewise, in recent times, multi-criteria decision-making methods have been increasingly applied when analyzing the company's performance, for the reason that they lead to more realistic results compared to classical methods (such as ratio analysis) as a basis for improvement in the future by applying relevant measures (Ayçin & Arsu, 2021; Popović et al., 2022; Ecer & Aycin, 2022; Mishra et al., 2022; Nguyen et al., 2022; Rani et al., 2022; Toslak et al., 2022) . Having that in mind, the subject of research in this paper is the analysis of the performance of companies in Serbia based on the LMAW-DNMA method. The aim and purpose of this is to look at the performance of companies in Serbia as realistically as possible in order to improve them in the future by applying relevant measures. The primary research hypothesis in this work is reflected in the fact that knowing the real situation regarding the company's performance is a prerequisite for improvement in the future by applying relevant measures. In addition to ratio analysis, statistical analysis and DEA approach, multi-criteria decision-making methods, including the LMAW-DNMA method, play a significant role in this. Empirical data needed for the research of the treated problem in this paper were collected from the Agency for Economic Registers of the Republic of Serbia. In terms of international comparability, there are no restrictions because they are "manufactured" in accordance with the relevant international standards.
In further presentations, we will point out the theoretical and methodological characteristics of the LMAW and DNMA methods (Demir, 2022).
LMAW method
The LMAW method is the latest method used to calculate criteria weights and rank alternatives (Liao, & Wu, 2020; Demir, 2022). It takes place through the following steps : m alternatives are evaluated in comparison with n criteria with the participation of k experts and according to a predefined linguistic scale (Pamučar et al, 2021) .
Step 1: Determination of weight coefficients of criteria
Experts set priorities with criteria in relation to previously defined values of the linguistic scale. At the same time, they assign a higher value to the criterion of greater importance and a lower value to the criterion of less importance on the linguistic scale. By the way, the priority vector is obtained. The label represents the value of the linguistic scale that the expert assigns to the criterion .
Step 1.1: Defining the absolute anti-ideal point
The absolute ideal point should be less than the smallest value in the priority vector. It is calculated according to the equation:
where is the minimum value of the priority vector and S should be greater than the base logarithmic function. In the case of using the function Ln, the value of S can be chosen as 3.
Step 1.2 : Determining the relationship between the priority vector and the absolute anti-ideal point. The relationship between the priority vector and the absolute anti-ideal point is calculated using the following equation:
so the relational vector is obtained, where it represents the value of the real vector derived from the previous equation.
Step 1.3: Determination of the vector of weight coefficients
The vector of weight coefficients is calculated by the expert using the following equation:
where it represents the weighting coefficients obtained according to expert evaluations and the elements of the realization vector R. The obtained values for the weighting coefficients must meet the condition that .
By applying the Bonferroni aggregator shown in the following equation, the aggregated vector of weight coefficients is determined :
The value of p and q are stabilization parameters and . The resulting weight coefficients should fulfill the condition that .
DNMA method
DNMA is a newer method for identifying alternatives (Demir, 2022). Two different normalized (linear and vector) techniques are used, as well as three different coupling functions (full compensation - CCM, non-compensation - UCM and incomplete compensation - ICM). The steps of applying this method are as follows (Liao & Wu, 2020; Ecer, 2020):
Step 1: Normalized decision matrix
The elements of the decision matrix are normalized with linear normalization using the following equation:
The vector is normalized using the following equation:
The value is the target value for the criterion and is considered for both utility and cost criteria.
Step 2: Determining the weight of the criteria
This step consists of three phases:
Step 2.1: In this phase, the standard deviation for the criterion is determined with the following equation where m is the number of alternatives:
Step 2.2: Values of the standard deviation calculated for the criteria are normalized with the following equation:
Step 2.3: Finally, the weights are adjusted with the following equation:
Step 3: Calculating the aggregation model
Three aggregation functions (CCM, UCM and ICM) are calculated separately for each alternative.
The CCM (Complete Compensation Model) is calculated using the following equation:
The UCM (non-compensatory model) is calculated using the following equation:
The ICM (Incomplete Compensation Model) is calculated using the following equation:
Step 4: Integration of utility values
The calculated utility functions are integrated with the following equation using the Euclidean principle of distance:
In this case, the means and represent the ordinal number of the alternative sorted by CCM and ICM functions in descending value (higher value first). On the other hand, shows the sequence number in the obtained order according to the increasing value (smaller value first) for the UCM function used. The label is the relative importance of the child value used and is in the range [0;1]. It is considered that it can be taken as . The coefficients are obtained weights of the used functions CCM, UCM and ICM, respectively. The sum should be equal . When determining the weights, if the decision maker attaches importance to a wider range of performance alternatives, he can set a higher value for . In case the decision maker is not willing to take risks, ie. to choose a poor alternative according to some criterion, he can assign a higher weight to . However, the decision maker may assign a greater weight to if he simultaneously considers overall performance and risk. Finally, the DN values are sorted in descending order, with the higher value alternatives being the best.
For the purpose of analyzing the performance of companies in Serbia, the following criteria were chosen: C1 - number of employees, C2 - business assets, C3 - capital, C4 - business income and C5 - net profit/net loss. They were chosen because they are good measures of company performance. Alternatives are observed companies in Serbia. According to what criteria were the companies selected? The selection of companies was made according to the realized business income in 2021. They have different ownership structures. However, the ownership structure of the company does not affect the results of multi-criteria decision-making methods. This means, in other words, that the results obtained in this paper are valid. Criteria, alternatives and initial data are shown in Table 1 for 2021.
Table 1. Initial data
Note: Data are expressed in millions of dinars. The number of employees is expressed in whole numbers. I - input. O - output
Source: Annual report on the operations of economic units in the economy in 2021. Agency for Economic Registers of the Republic of Serbia
The weighting coefficients of the criteria were determined using the LMAW method. Tables 2-5 show the calculations and results of the LMAW method. (In this paper, all calculations and results are the authors).
Table 2. Prioritization scale
Source: author
Table 3. Evaluation of criteria
Source: author
Table 4. Weight coefficients of criteria and aggregated fuzzy vectors
Source: author
In the specific case, therefore, the most important criterion is C5 - net gain/net loss. This means, in other words, that, among other things, more efficient profit management can achieve the target performance of companies in Serbia. Tables 5 - 11 show the calculations and results of the DNMA method.
Table 5. Initial Matrix
Source: author
Table 6. Linear Normalization Matrix
Source: author
Table 7. Vector Normalization Matrix
Source: author
Table 8. CCM (Complete Compensatory Model)
Source: author
Table 9. UCM (Uncompensatory Model)
Source: author
Table 10. ICM (Incomplete Compensatory Model)
Source: author
Table 11. Ranking of alternatives according to the DNMA method
Source: author
Therefore, according to the results of the DNMA method, the top five companies in Serbia in terms of performance are: TELEKOM SRBIJA AD, BELGRADE, DELTA HOLDING DOO BELGRADE, MK GROUP DOO BELGRADE, JP SRBIJAGAS NOVI SAD and HEMOFARM AD VRŠAC. The best performance was recorded at the company TELEKOM SRBIJA AD, BELGRADE. The company with the worst performance is YURA CORPORATION DOO RAČA. Factors for positioning companies in Serbia according to performance are numerous factors: general economic conditions, inflation, interest rate, exchange rate, employment, standard of living of the population, the Covid-19 pandemic, the energy crisis, and the efficiency of managing human resources, assets, capital, sales and profit. The application of new cost management concepts (calculation of costs by basic activities, target costs and profit, kaizen concept, etc.) and digitization of the entire business play a significant role in this. Effective control of these and other factors can significantly influence the achievement of the target performance of companies in Serbia.
CONCLUSION
Based on the results of empirical research on the performance of companies in Serbia, the following can be concluded: according to the results of the DNMA method, the top five companies in Serbia include: TELEKOM SRBIJA AD, BELGRADE, DELTA HOLDING DOO BELGRADE, MK GROUP DOO BELGRADE, JP SRBIJAGAS NOVI SAD and HEMOFARM AD VRŠAC. The best performance was recorded at the company TELEKOM SRBIJA AD, BELGRADE. The company with the worst performance is YURA CORPORATION DOO RAČA. There are numerous determinants of the performance of companies in Serbia. These are: general economic conditions, inflation, interest rate, exchange rate, employment, living standards of the population, the Covid-19 pandemic, the energy crisis, the efficiency of managing human resources, assets, capital, sales and profits, and the digitization of the entire business. The application of new concepts of cost management (for example, calculation of costs by basic activities) plays a significant role in this. Effective control of these and other factors can significantly influence the achievement of the target performance of companies in Serbia.
REFERENCES