The purpose of this research is to rank the requirements and indicators of the improvement and renovation of the old tissues of the city through Analytical Hierarchy Process (AHP) techniques (case study: Langrod city). This technique involves constructing a hierarchical structure of the decision problem and then preparing a questionnaire (pairwise comparisons) containing some questions. Based on paired comparisons, this technique uses a matrix of paired comparisons, in which people compare two factors in pairs and rank one over the other by placing a number between 1 and 9. The purpose of a paired questionnaire was to compare the indicators and sub-indices of old city structures, as well as to identify and prioritize factors and indicators for improving and renovating them (case study: Langrod city). In the following paragraphs, we introduce the sub-indices. With the Analytic Hierarchy Process (AHP), several indicators are organized into a hierarchy. Decision making begins at the first level with the main goals. Indicators at the second level represent major and basic indicators (which can then be broken down into sub-indices). Optional decisions are presented at the last level.
The research aims to rank the factors and effective management indicators for the improvement and renovation of Langrod’s old tissues.
In this research, ten indicators have been selected as effective managerial factors in the improvement and renovation of the old tissues of Langrod city.
Managerial indicators have seven sub-components in this study. Each of the technical indicators and the commitment to environmental assessment has three sub-components. There are four sub-components for indicators of resources, attention to training, and idea creation, and five sub-components for indicators of planning.
5.1. Questionnaire Integration (Normalization)
During this stage, we must integrate the 20 questionnaires collected before making pairwise comparisons. Ultimately, only one questionnaire should be collected. To calculate this, we use the geometric mean of the matrices, and the final questionnaire is the normalized matrix or matrix D, which is shown in
Table 2.
As soon as we have formed the pairwise comparison matrix of indicators, we normalize their values. For this purpose, we divide each value of the matrix by the sum of its columns. For example, in the first column of the second row of
Table 2:
We calculate the arithmetic mean of each row to calculate each index’s relative weight. The calculation results are given in
Table 3 and
Table 4.
As shown in
Table 4 and the average of the factors, resources ranked highest among the effective managerial factors and indicators for improving and renovating the old tissues of the city. After that, the rankings are as follows: attention to training, commitment to environmental assessment, idea generation, planning, management, technical experience, attention to legal requirements, and attention to external factors. According to the answers of the experts and the priorities specified by them, it was decided to remove the indicators of experience, attention to legal requirements, and attention to external factors from the series of effective management factors in the final questionnaire to emphasize the importance of improving and renovating old tissues. The following section examines each of the approved component’s sub-indices. The process of prioritizing managerial indicators is shown in
Table 5,
Table 6 and
Table 7.
After that, there is the management of materials, strengthening the theoretical and scientific capabilities of human resources, management skills, power, and executive experience, redefining the characteristics, abilities, and qualifications required of managers, and utilizing technical and professional experiences. In accordance with the experts’ answers and their priorities, the sub-index of using technical and professional experiences was removed from the final questionnaire. The process of prioritizing technical indicators is shown in
Table 8,
Table 9 and
Table 10.
The highest ranking among the sub-indices of the technical factors is related to software power, based on the above table and factor averages. Then, there is the provision of machines and the knowledge of how engineers do their work. As a result of the experts’ answers and the priorities they specified, the sub-criterion of knowing how to do engineers’ work was eliminated from the final questionnaire. The process of prioritizing resource indicators can be seen in
Table 11,
Table 12 and
Table 13.
According to the table above and the average of all the factors, the use of technology ranked highest among the indicators of the resource factors. After that, there are initial estimates, the allocation of necessary funds for the prevention of accidents, and funding. According to the answers of the experts and the priorities specified by them, the subject of funding is removed from the final questionnaire.
Table 14,
Table 15 and
Table 16 illustrate how the indicators of attention to training in improvement activities is prioritized.
Based on the above table and the average of the factors, utilizing academic elites ranked highest among the attention to training criterion. Then, using the world’s current knowledge to train technicians, holding workshops on technical and skill development, and updating technician skills are placed next. In the final questionnaire, updating technician skills was removed based on the answers of the experts.
Table 17,
Table 18 and
Table 19 illustrate the process for prioritizing the indicators related to commitment to environmental assessment.
Based on the above table, the reduction of environmental damages ranked highest. After that, there are two indicators of developing environmental strategies and the reduction of risks and environmental threats in the improvement. In the final questionnaire, the risk reduction and threats to improvement plans for the environment were removed based on the experts’ responses and priorities.
According to the table above and the average of all the factors, explanation of conditions, limitations, and available possibilities ranked highest among the indicators of idea creation. After that, there are project goals’ clarity, paying attention and checking the employees’ new ideas, and creating a research team and studying scientific research on improving the old tissues. According to the answers of the experts and the priorities specified by them, the subject of “creating a research team and studying scientific research on improving the old tissues” was removed from the final questionnaire.
According to
Table 25 and the average of all the factors, paying attention to the quality control unit ranked highest among the indicators of planning. After that, there are the use of experienced technicians, realistic timing, managers’ incentives/penalties, and addressing needs. According to the answers of the experts and the priorities specified by them, addressing needs was removed from the final questionnaire.
5.2. Determining Inconsistency Rate
To determine whether our pairwise comparisons are consistent, the inconsistency rate should be calculated. The inconsistency rate is calculated only for pairwise comparisons of factors. We should perform this operation for each criterion’s indicator. As a first step, we multiply the initial integrated matrix (D) by the average of the same matrix to obtain the weighted sum vector. This is the product of pairwise comparisons of indicators in the relative weight vector. That means:
where W represents relative weight, D represents the initial integral matrix, and WSV represents the weighted sum vector. The next step is to divide the result (WSV) by the index’s relative weight vector to obtain the compatibility vector (cv). Lastly, we obtain the arithmetic mean of the above vectors (compatibility CV), which is called λ
max. The calculated λ
max related to the components of the factors is specified in
Table 26.
As a fourth step, we calculate the inconsistency index (II) based on the following relationships:
The inconsistency rate of all components is shown in
Table 28.
There is acceptable consistency in the pairwise comparisons since all factors have an IRI of less than 0.1. Based on the examples and experts’ opinions, the low-importance questions were removed from the final questionnaire, which was provided to the statistical sample for purification and analysis.
5.3. Research Descriptive Findings
In this section, the statistical population for the second part of the research (creating the structural equation model) includes approximately 650 managers and employees related to the improvement of the old texture in Langrod, 335 of whom were selected for research based on the explanations given in
Section 4. Using the output of SPSS software, we first draw the tables and graphs using the response data from the first part of the research questionnaire. The characteristics of an individual include marital status, age, job position, and education. The current study examines first the sample distribution of the marital status variable.
According to
Table 29, the marital status of the statistical sample under study is classified into two levels.
Based on the statistical sample studied,
Table 30 shows the multi-level age variable.
In
Table 31, the multi-level variable of the job position is shown in its current status.
SPSS software produces descriptive findings about research variables, which are interpreted and analyzed descriptively. The descriptive findings include the central index (mean), dispersion indices (standard deviation and range of changes), and skewness–stretch distribution indices. An analysis of
Table 32 shows the central and dispersion indicators related to the factors that improve and renovate old tissues of a city (case study: Langrod).
For the operational definition of variables, average questions have been used, as shown in
Table 32. In the improvement and renovation of the old tissues of Langrod city, the minimum range of changes for the variable of effective management criteria and indicators is equal to 2.63, while the maximum range of changes for the variables of resources and technical factors is equal to 4. Furthermore, the mean scores of the variables are greater than 3 (the average of the five-point Likert scale), which indicates respondents’ preference for high, medium, and very high options.
In
Table 33, effective managerial factors in improving and renovating old city tissues are outlined.
With a skewness coefficient based on the research findings,
Table 33 shows the highest standard deviation is related to technical factors, indicating the greater dispersion of this component compared to other components. The lowest standard deviation is related to the component of effective managerial indicators, and the dispersion related to this component is also the lowest. Being less than 0.5 indicates that the data distribution is close to normal. To check the distribution of data, the Kolmogorov–Smirnov test is used.
The research variables were tested for normality using the Kolmogorov–Smirnov method. Kolmogorov–Smirnov statistics and significance levels for the research variables are shown in
Table 34.
The Kolmogorov–Smirnov test statistic indicates that the data have a normal distribution and the significance level is greater than 0.05.
5.4. Validity and Reliability of the Questionnaire
To assess the structural validity of the spectra, factor analysis was also used as part of the theoretical foundations. By using this method, a large set of variables can be reduced to a smaller set of factors [
26,
27,
28]. As the variables used in the current research have strong theoretical bases, the confirmatory factor analysis method was used to test the factorial structure of the mentioned model in the test plant. Consequently, in the following, we briefly describe the confirmatory factor analysis. The accuracy of the measurement of the structures is examined in this section by using structural equation modeling measurement models. By using factor analysis, it is determined whether the questions designed in each construct can measure the desired construct. Essentially, it determines whether the questions and indicators considered have the necessary validity. Confirmatory factor analysis presents standard coefficients and significant coefficients. Factor loading indicates the strength of the relationship between a factor (hidden variable) and an observable variable. A factor load is a value between 0 and 1. Weak relationships are considered when the factor load is less than 0.3, acceptable relationships are between 0.3 and 0.6, and favorable relationships are greater than 0.6.
Path coefficients or standard factor loadings between factors and markers are expressed by standardized coefficients. Validity requires a significant correlation between each construct and its indicators. Correlations are measured by significant values. Each parameter’s significance is shown by a significant number or t-value. The model parameters are significant if their value is greater than 1.96. In the factor model of the present research, all the values of the standard coefficients are higher than 0.3, which indicates that the factor model is appropriate and questions do not need to be removed. The standard factor loadings and significant coefficients of the questions are shown in
Table 35. All of them indicate that the questions have appropriate factor loadings and their significant coefficients are also significant. For each variable, Cronbach’s alpha values were calculated, which were all above 0.7, indicating the questionnaire is reliable.
Table 36 summarizes the recommended values and observed values of the fit indices. It is equal to 158/596 in the chi-squared test. With a significance level of 0.0001, it is significant at a confidence level of 99%. This value indicates the low fit of the model. There are 2.688 degrees of freedom in the presented research model, which is within the allowed range. We obtained an RMSEA value of 0.729, which is smaller than the recommended value of 0.8, indicating that the model fits the data well. An incremental fit index (IFI) equals 0.961, a normalized fit index (NFI) equals 0.966, a comparative fit index (CFI) equals 0.949, a goodness of fit index (GFI) equals 0.83, and an adjusted goodness of fit index (AGFI) equals 0.937. As a result, the fit indices are at the optimal level, indicating that the model is appropriately fitted.