3.2. Presence of Identified Barriers in the Surveyed Enterprises
In the second step occurrence of identified barriers in Polish manufacturing companies was verified, as well as it was checked how they are perceived by specialists.
The concept of lean management permeates enterprises in the form of various types of system, such as:
Toyota Production System (TPS),
Achieving Competitive Excellence (ACE),
Continuous Improvement Project (CIP),
World Class Manufacturing (WCM),
Six-Sigma.
Companies participating in the survey declared one of above-mentioned systems or application of methods and tools specific to LM.
The questionnaire survey yielded 128 complete responses from manufacturing industries through email, representing small companies (3.12%), medium-sized companies (32.81%), and large companies (64.06%). Despite the differences in size and employment levels of the surveyed units, these differences did not affect the quality of the surveys.
An analysis of the structure of the capital characteristics of the enterprises represented by the respondents shows that they are entities based on both Polish and foreign capital, but the dominant part represents mixed capital. Most of the participating enterprises were members of capital groups (75.8%), but the majority of them have a separate management accounting system (68%).
The respondents were individuals representing different areas of the company’s operations (
Table 2), with the predominant group being employees from the departments of production (30.47%), and quality (28.13%).
Respondents were asked to refer to statements designed to diagnose the causes of barriers to the transformation of management accounting towards lean (
Table 3). Responses were given on a 5-point Likert scale where: 1—strongly disagree, 2—disagree, 3—undecided, 4—agree, 5—strongly agree.
According to respondents, the factor that represents the biggest obstacle to adopting lean accounting principles is resistance to change. The average indication of opinion for this statement was = 4.11. As many as 55 respondents agreed and 47 strongly agreed (totalling 79.69%), that it is barrier for lean transformation of management accounting in surveyed companies. Only 2 respondents (1.56%) strongly disagreed with this opinion. In turn, 102 (78.69%) respondents cited poor communication between operational and financial-accounting areas as a barrier to LA implementation ( = 3.86). Interestingly, none of the respondents strongly disagreed with the existence of a ‘‘two-way street’’ between these areas of the companies surveyed.
Dependence on the parent company as a barrier was identified by 55 (42.97%) respondents. At the same time, it should be pointed out that 75.8% of the entities surveyed operate as part of a group, with 43.8% declaring that they have a separate management accounting/controlling system. A certain inconsistency can be seen here, apart from the 32% of companies that due to being in corporate group share a common management accounting/controlling systems (reasonable indication of dependency), this barrier was also indicated by entities creating management accounting solutions on their own.
Management inertia, perceived in the surveyed companies, is also a serious problem. As many as 87 respondents agreed or strongly agreed that they perceived this type of barrier (mean response = 3.68).
However, respondents mostly did not see the problem with the implementation of lean accounting in the shortage of accounting staff. Among the people surveyed, 48 people (37.47%) disagreed or strongly disagreed with this statement.
Similarly, the lack of adequate computing resources (software) does not appear to be a factor weighing on the implementation of lean management accounting, the average response in this case being = 2.95, with 34 people (27.34%) indicating no opinion in this regard.
Very interesting are the indications for the factor ‘Lack of appropriate knowledge and competences of the department responsible for management accounting’ as a barrier to the transformation of management accounting towards lean. A majority of 62 respondents (48.44%) disagreed or strongly disagreed with this opinion.
Respondents perceive as a barrier the need to meet statutory requirements (mean of indications = 3.02).
3.3. DEMATEL Based Model Barriers of Lean Accounting Implementation
To find the interrelationship among the identified barriers, the DEMATEL (Decision Making Trial and Evaluation Laboratory) method is incorporated in the present study. This tool basically helps in analyzing the factors of the problems within two different groups, namely, the cause group and the effect group [
53,
54]. The main aim of DEMATEL is to determine the intensity of the effect and the causal relationship between the direct and indirect variables of a complex system using matrix calculations [
55].
The method of DEMATEL was initially introduced in 1971 by the Geneva Research Centre at the Battelle Memorial Institute [
56,
57]. This technique visualizes complicated structural and causal relationships using matrices or digraphs and can convert the cause-and-effect relationships of criteria into a unique structural model, clarifying the root causes of problems and defining strategies for resolving core issues. DEMATEL reflects the interrelationships among various factors, highlighting their causes and effects, and provides a structural framework for the system. One advantage of DEMATEL over other models is its ability to generate meaningful insights with minimal information [
58]. As a result, it is particularly suitable for studies involving a small number of respondents or, in some cases, groups of respondents (such as project teams).
The DEMATEL method seems suitable for this study for several reasons [
53,
55,
59,
60,
61]:
Allows the identification of cause-and-effect relationships between different variables. This enables researchers to better understand how various factors interact and influence the analyzed problem.
Is appropriate for analyzing complex and multifactorial issues. It accommodates multiple variables and assesses their mutual relationships, providing a more comprehensive and versatile picture of the research problem.
Supports decision-making: The DEMATEL method provides information about key factors affecting the analyzed problem. This can assist decision-makers in making more informed decisions and developing effective strategies.
The results obtained through this method can offer directions for further research and analysis. Discovering specific connections between variables may encourage other researchers to delve deeper into the analysis in the given area.
Allows for comparing results between different groups or cases. This can aid in identifying similarities and differences, as well as in identifying patterns that are relevant to the study.
Utilizing expert knowledge allows for the inclusion of subjective assessments and opinions, which can be valuable in analyzing complex issues. Experts can provide unique insights into the relationships between variables, significantly enriching the research findings.
Is flexible and applicable in various research fields. It can be used to analyze relationships between factors in different contexts, making it useful across various scientific domains.
The results of the DEMATEL analysis can be presented graphically, facilitating understanding and interpretation. The graphical representation of relationships between variables can enhance communication and presentation of research results.
The DEMATEL method converts the interdependency relationships into a cause-and-effect cluster via matrices and discovers the critical factors of an intricate system of factors with the aid of impact relations [
55]. The premise of the method assumes that there are three types of relationships between the two factors:
- (1)
the first factor determines the second,
- (2)
the second factor determines the first,
- (3)
the factors do not affect each other.
The method, thanks to the utilization of matrix transformations, enables the consideration of internal interdependencies between factors when they occur bidirectionally. Although the method is founded on the analysis of relationships among factors, the selection of factors and their initial values, which serve as the reference point for the model, are determined by expert input and rely on Delphi methods.
When compared to other modeling approaches (Total Interpretive Structural Modeling (TISM), Graph Theory and Matrix Approach (GTMA), etc.), this approach assists the researchers in understanding the contextual relations among the included factors within the problem structure and helps in identifying the strength of their interrelationships.
Calculation steps and structure of DEMATEL is compiled and are described as below e.g., [
56,
58,
62]:
Step 1
Based on either interviews or surveys, data is collected among experts on the values of the interaction between pairs of n factors, where the dependence of the impact of factor i on j is defined by the relation
zij [
13]:
Development of direct relation matrix is done from the response collected from the experts. The responses are in the form of Likert scale in the order of 0 to 4. Value corresponding to the meaning is:
0—no influence,
1—very low influence,
2—low influence,
3—high influence
4—very high influence.
The average matrix
Z is represented as shown in Equation (1).
Step 2
Using the data collected from experts, compute the average matrix. Normalize initial direct relations matrix
D by
, where:
Each element in this matrix falls between zero and one.
Step 3
The total influence or total relation can be obtained by summing up
D,
D2,
D3, …,
D∞. The final relation matrix is represented by
T and computed by (Equation (3))
Step 4
Calculate sum of rows and columns
R denotes the sum of rows and
C denotes the sum of columns of total relation matrix “
T”:
tij = corresponding values in matrix T.
Step 5
Finally, (R+C, R−C) is calculated separately for each factor to create the effect-relationship map, which is the end goal. Here, the further the (R+C) value of the criterion is from the center, the more important the criterion would be. If the (R−C) of the criterion is positive, it is in the group of affecting factors; if it is negative, it is in the group of affected factors.
Since matrix T provides information on how one factor affects another, it is necessary for a decision maker to set up a threshold value to filter out some negligible effects. In doing so, only the effects greater than the threshold value would be chosen and shown in digraph. In this study, the threshold value is set up by computing the average of the elements in matrix T. The digraph can be acquired by mapping the data set of (R+C, R−C).
After the identification final barriers LA, these were evaluated through a questionnaire from case industrial managers. Barriers were assessed by using a five-point Likert scale (0–4) of importance, 0 representing no influence, and 4 implies very high influence. We received responses from 8 experts. After the pair-wise comparison of barriers from case industrial managers, it was further processed for evaluation through DEMATEL.