ARTICLE INFO
Review Article
Received: 07 December 2022
Accepted: 15 February 2023
UDC 005:336]:[004.8:631.151
Keywords:
agroeconomy, financial management and business, analytical methods, Data mining, group method of data acceptance - Group Method of Data Handling -GMDH
JEL: M41, M49
ABSTRACT
Analytical methods are an indispensable method of auditing. Auditors typically use classical methods such as horizontal, vertical, regression analysis, such as the Z-score. Very few data mining methods are used at all, which are significantly more accurate in their results than the ones mentioned. The subject of this paper is the application of one of the most efficient methods of data so-called. Group Method of Data Handling -GMDH in agro entities.
(ProQuest: ... denotes formulae omitted.)
Introduction
Civilization is nowadays become dependent on large-scale systems of machines, environment and men. Everyday work, performed by auditors and financial experts, in addition to routine-repetitive work, requires knowledge that can be extracted from existing databases, not only data, but also knowledge represented in financial reports. Revision process nowadays, besides classical analytical methods (Z-score, regression analysis, horizontal analysis, vertical analysis includes modern methods of Data Mining (finding implicit - finding hidden knowledge) (Witten & Frank E. (2005)). Based on the cybernetic principle of self-organization, by learning the unknown relations between the outputs and inputs of a given system (in our case financial statements of agricultural entities) based on the evolutionary principle, which understands the initial very simple model of organization to optimally complex model (Savić & Obradović, 2020).
Various studies on agricultural system reveal that fulfilling agricultural production forecasts, particularly in large irrigation systems remains a difficult problem. Difficulties arise which seemingly cannot be overcome by conventional modeling techniques.
Accounting planning deals with the design, systematization, processing and presentation of data related to the future business of the agro company (Ilić & Tasić, 2021). Thus, this constitutive element of management accounting refers to the economic transactions of the agro company that are yet to take place. The end product of accounting planning is accounting estimates that include data on projected balances or changes in the future. Accounting analysis is the judgment and explanation of the state and success of agro business, determining deviations from it, the causes of these deviations and their consequences. The formation of proposals for improving business processes and the situation is also an integral part of accounting analysis (Mihajlović et al., 2020). The main subject of analysis is data and information provided by costing and analysis. The data provided by accounting planning and analysis are necessary inputs for conducting business control. Accountability accounting is a system that connects the plans and actions of each responsibility center in the company (Tekić et al., 2021). The responsibility center is a part of the company whose manager is in charge of a specific set of company activities.
Methodology
„There is no consensus in the literature and practice on the applicability and importance of traditional accounting planning and budgeting in terms of successful management of agro business activities" (Dukić-Mijatović et al., 2021). Conceptual definitions of these two ways of planning reflect differences in understanding the importance of one or another way of planning for the successful operation of the agro company, but also for its survival. The budget, viewed as a result of budgeting activities, is an instrument of effective short-term planning and control. At the same time, the purpose of budgeting, which consists in refining the strategic plan (Spathis et al., 2003), coordination, delegation of responsibilities and creating a basis for assessing performance indicates the understanding of business budget as an instrument for achieving strategic goals (Vićentijević, 2021).
Putting the achievement of strategic goals in the forefront as budgeting as an instrument represents a broader view of the essence of budgeting. However, the broader understanding of budgeting highlights that planning is becoming the key to good management, that is, that without disciplined professional planning, the agro company goes into disrepair. Profit planning is a budgeting process (Ristić et al. 2021). This approach practically gives maximum importance to budgeting as a process to which the fate of the agro company is tied. Budgeting in a broader sense implies accounting planning and control, whereby budgeting is the responsibility of accounting responsibility (Avakumović et al., 2021). Control in this view implies a comparison with the planned values, which is the essence of control, but budgeting is still more than accounting planning and control, since the essence of budgeting is expressed by flexibility in relation to short-term changes. Machine learning is "a set of processes, which includes: collecting new declarative knowledge, developing and improving motor and cognitive skills through practice, structure of existing knowledge and discovering new facts and theories through observation and active experimentation" (Bogavac et al., 2021).
Learning can be viewed through two basic forms (Green & Choi, 1997):
* knowledge acquisition, which is the learning of new, symbolic information so that it can be effectively applied (so one learns theoretical knowledge, eg physics);
* training, which involves improving some acquired knowledge, mental or motor coordination, through practical repetition and correction of deviations from the desired behavior (so a person learns different skills, with the first phase of learning is the collection of knowledge);
* It is considered that human learning is a mixture of both forms, with mental activities emphasizing the first form, and motor activities to a greater extent the second form of learning.
Machine learning systems are most often divided according to the chosen learning strategy, the way of presenting knowledge and the area of application. Inductive (machine, automated), which is the subject of application in the analysis of financial statements, ie. their learning can be seen as a process in which the system improves its performance on a given task without additional programming, using two methods. We must mention that there are other methods of learning strategy, for example: learning by rote learning, learning by being told, learning by analogy. Learning by examples, which requires inductive reasoning. By analyzing and generalizing solved examples and counter examples of a class of phenomena (financial statements as a concept), we come to a rule, theory or description of the term, which explains all examples and no counter examples. Such learning methods can be further classified according to the choice of examples, source and way of using examples. The methods used by Data mining, which are not the subject of our consideration, can be: production rules, decision lists and decision trees, which are examples of an understandable way of presenting empirical knowledge. Our focus is on applying a self-organized Data Mining model (SOHK).
Analytical model of self-organized discovery of hidden knowledge (SOHK)
Budgeting has a crucial role to play in agro business. Without a budget (plan), it is difficult to expect managers and their employees to achieve business growth and cost management goals. In developed market economies, financial managers spend 20% -30% of their time on budget-related jobs (Rakić et al., 2021).
In our conditions, the budgeting process is largely excluded from agro business practice. Which is definitely wrong. Agro companies should develop the skills of employees in this field because it will help them not only to discover development opportunities and control their business, and develop an adequate system of rewarding employees, but also to avoid unnecessary costs of paying external consultants when making business plans. (Vukša & Pantić, 2020).
Accountability accounting is a system that connects the plans and actions of each responsibility center in the agro company. The responsibility center is a part of the company whose manager is in charge of a specific set of company activities. Accounting for responsibilities (and thus business control) requires data on the amount and structure of costs of cost centers, ie. control units, as well as data on the amount and structure of the cost price of their services. This data is needed to determine differences in the amount and structure of costs between two or more successive periods, or differences between actual and planned costs, etc., as well as to take appropriate measures to eliminate the causes that led to increased costs. In some cases, measures should be taken against unjustified reduction of costs, if it harms the quality of the product (Mihajlović et al., 2018). For almost every expense, it can be determined where it was incurred. For the purposes of control, responsibility for the amount of incurred costs is essential. When determining the responsibility for the incurred costs and the amount of income, it should be borne in mind that the influence of the competent manager is partially limited, ie. the possibility of their control must be taken into account. Namely, the amount of costs and revenues is partly influenced by external factors, such as purchase or sale prices.
The SOHK model is a model that has significant advantages over classical neural networks and genetic algorithm, because it is based on the principle of evolutionary, mutational and selective approach to generate structure network systematically enabling automated structure synthesis and model validation until the optimal complex model is established (Michalski et al., 1983; Stice, 1991). The self-organization model performs data reduction, reprocessing and validation of model results that are corrected during the self-organization process, which is called self-organization data mining. The SODM model is presented with a group of methods, which is administratively called the Group Method of Data Handling - GMDH).
Group Method of Data Handling
GMDH was developed in the Institute of Cybernetics in Kyiv by Prof. A.G. Ivakhnenko in 1967, with improvements in 1970 and 1980. Group method of data handling represents a system of inductive algorithms for computer-based mathematical modeling in various multicycled systems such as: neural networks, noise immunity, clusterization, economic systems etc. (Ivakhnenko, 1995). Nowadays, there are a wide range of software that uses GMDG, such as: FAKE GAME Project, Gevom, GMDH Shell, KnowledgeMiner, PNN Discovery client, Sciengy RPF!, wGMDH, R Package, R Package for regression tasks, Python library of MIA algorithm.
"Self-organization modeling of inductive algorithms in the basis are using seven fundamental steps:
1. Data sample of N observations corresponding to the system under study is required; Split them into training set A and testing set B (N = NA + NB).
2. Build up a "reference function" as a general relationship between dependent (output) and independent (input) variables.
3. Identify problem objectives like regularization or prediction. Choose the objective rule from the standard selection criteria list which is developed as "external complements."
4. Sort out various partial functions based on the "reference function."
5. Estimate the weights of all partial functions by a parameter estimation technique using the training data set A.
6. Compute quality measures of these functions according to the objective rule chosen using the testing data set B.
7. Choose the best measured function as an optimal model. If you are not satisfied, choose F number of partial functions which are better than all (this is called "freedom of choice") and do further analysis." (Madala, 1994)
The main advantages of GMDH methods are, in short, solving the problem of applying neural network learning techniques whose algorithms are slower and less efficient than highly optimized algorithms used in statistical software, as well as overcoming the problem of accumulation (Cherkassky & Mulier, 2007). The GMDH algorithm selects a model of optimal complexity by applying an inductive approach.
GMDH algorithm can be presented in Multi - layer artificial neural networks ("There are three main inductive learning networks: multilayer, combinatorial and harmonic. The network structures differ as per the interconnections among the units and their hierarchical levels.") where the structure consider the number of layers and neurons in each layer. Each sumulated unit k receives input variables (xi, xj) c x, i Ф j, and generates a function f() which is partial form of the reverence function.
...
Where У11 arc the connecting weights. If we denote 0 as the desired values and y as the estimated values of the outputs for the function being considered, the output errors would be given by
...
The total squared error for that input vector is
...
This corresponds to the minimization of the average error E in estimating the weights í (k); this is the least squares technique. The weights are computed using a specific traninig sample NA which is a part of the whole data points N specified for this purpose.
Each layer includes a group of units that are interconnected to the units in the next layer. The proces continues layer after layer. Each layer contrains a group of units that are interconnected to the units in the next layer. The weights at each unit are estimated by minimizing the error E. The measure of an abjective function is used as the threshold value to make the unit "on" or "off" in comparison with the testing data NB which is another part of N and, at the same time, it is considered to obtain the optimum output response. On this level of modeling, a hardly avoidable error can be reduced to a minimum and finding the solution to optimize the problem, by using the assumed objective function to successive iterations.
"A GMDH network is made up of a number (m) of single neurons (the structure of a single neuron is shown in figure which process the input signal - vector x - and turn it into an output signal, y. The signal is processed when at least two input signals are stimuli, according to the following relation:" (Mrowczynska M., 2019)
...
where f is the transfer function.
"The transfer function must not be too complex, as this would extend the time required for training and would prevent an accurate assessment of the training error. Therefore, although the GMDH algorithm permits the application of various forms of the transfer function, the function is most considered a discrete form of the Volterra functional series which is also called Kolmogorov - Gabor polynomial, defined as: (Mrowczynska M., 2019)"
...
"where i, j, a, 0 are polynomial parameters. Assuming that the polynomial has a degree of n=2, the transfer function is defined as: (Mrowczynska M., 2019)"
...
This includes the application of external information that was not used to estimate the coefficients of the model.
To illustrate the application of this method, we will take the following company data.
The results indicate a high level of forecasting accuracy, which qualifies GBDH as an acceptable method of forecasting the movement of the balance of financial statements in every entity, includin agro company.
Conclusion
The changes caused by the information revolution, the development of technology pose new challenges to traditional accounting planning, and make the budgeting process more complex, bearing in mind that these are very significant changes that are happening in the agro business environment. At the same time, it should be borne in mind that the new business conditions are characteristic, among other things, of the increase in the mass of general costs that are not caused by increased production. An approach to budgeting that does not take this fact into account shows a weakness that can have negative effects on the company's operations and the achievement of strategic goals. In this sense, traditional accounting planning works well for activities that show a clear link between inputs and outputs, while otherwise, traditional budgeting serves only to approve a certain level of spending for each cost item.
The article is an attempt to show the success and applicability of Neural Networks, as well as the self-organized Data Mining System. For short-term forecasts of financial indicators. The great advantage of this method is in the fact that it supports nonlinear data forms, such as administrative and financial data. It is to be expected that Data Mining, especially the GBDH method, will become a standard technique for auditors and financial analysts. For directions of further research, the results of the research are expected to be improved by combining models with additional information of macroeconomic categories of the agro economy and building multi-input models for the extended database.
Conflict of interests
The authors declare no conflict of interest.
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Abstract
Analytical methods are an indispensable method of auditing. Auditors typically use classical methods such as horizontal, vertical, regression analysis, such as the Z-score. Very few data mining methods are used at all, which are significantly more accurate in their results than the ones mentioned. The subject of this paper is the application of one of the most efficient methods of data so-called. Group Method of Data Handling -GMDH in agro entities.
You have requested "on-the-fly" machine translation of selected content from our databases. This functionality is provided solely for your convenience and is in no way intended to replace human translation. Show full disclaimer
Neither ProQuest nor its licensors make any representations or warranties with respect to the translations. The translations are automatically generated "AS IS" and "AS AVAILABLE" and are not retained in our systems. PROQUEST AND ITS LICENSORS SPECIFICALLY DISCLAIM ANY AND ALL EXPRESS OR IMPLIED WARRANTIES, INCLUDING WITHOUT LIMITATION, ANY WARRANTIES FOR AVAILABILITY, ACCURACY, TIMELINESS, COMPLETENESS, NON-INFRINGMENT, MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. Your use of the translations is subject to all use restrictions contained in your Electronic Products License Agreement and by using the translation functionality you agree to forgo any and all claims against ProQuest or its licensors for your use of the translation functionality and any output derived there from. Hide full disclaimer
Details
1 Ministry of Defence Republic of Serbia, Birčaninova 5, 11000 Belgrade, Serbia
2 Military Academy, University of Defence, Veljka Lukića Kurjaka 33, 11000 Belgrade, Serbia
3 Academy of Vocational Studies South Serbia, Blace Business School Department, st. Kralja Peta I number 1, 18420 Blace, Serbia
4 The University of Business Studies Banja Luka, PhD student, 78000 Banja Luka,Bosnia and Herzegovina