The results showed the main content and sub-criteria of accreditation standards for limited surgery facilities, and the components affecting limited surgery centers were identified using the DEMATEL method (
20).
The conceptual model is shown in
Figure 1.
4.3. Third Stage
Regarding
Table 2, the experts’ disagreement in the second and third stages was less than the threshold of 0.2, thus; the survey stopped at this stage.
The dimensions and components (criteria) are coded as bellow:
A) Dimensions
Safety management (C1), clinical care (C2), and management and leadership (C3).
B) Components (Criteria)
Prevention and management of common surgical complications (C11), prevention and control of infection (C12), immediate and emergency care (C13), surgical and anesthetic care (C21), continues care after surgery (C22), safe discharge, and follow-up of the patient (C23), quality management and patient safety (C31), human resource management (HRM) (C32), physical structure, facilities, and safe equipment (C33), and respect for patient rights (C34).
Then, the opinions of eight experts were used to assess criteria, and the experts’ opinions were subsequently pooled.
To normalize, first, the sum of all rows and columns was calculated. We form the largest number in the row and column of k, and then all values of the triangular fuzzy numbers were multiplied by the inverse of k to normalize the matrix.
To calculate the full correlation matrix, the identity matrix (I) was first formed. Then, we subtracted the intensity matrix from the normal matrix and inverted the resulting matrix. Finally, the normal matrix was multiplied by the inverse matrix.
Table 3 shows the pooled direct fuzzy matrix of the main criterion, the matrix of normalized relations between the main criteria, and the general fuzzy relations matrix of the main criterion.
| C1 | C2 | C3 |
|---|
| Pooled direct fuzzy matrix of the main criterion | | | |
| C1 | | | |
| L | 0 | 0.75 | 0.6 |
| M | 0 | 1 | 0.85 |
| U | 0 | 1 | 1 |
| C2 | | | |
| L | 0.6 | 0 | 0.65 |
| M | 0.85 | 0 | 0.9 |
| U | 0.95 | 0 | 1 |
| C3 | | | |
| L | 0.1 | 0.15 | 0 |
| M | 0.35 | 0.4 | 0 |
| U | 0.6 | 0.65 | 0 |
| Matrix of normalized relations between main criteria | | | |
| C1 | | | |
| L | 0 | 0.556 | 0.444 |
| M | 0 | 0.541 | 0.459 |
| U | 0 | 0.5 | 0.5 |
| C2 | | | |
| L | 0.444 | 0 | 0.481 |
| M | 0.459 | 0 | 0.486 |
| U | 0.475 | 0 | 0.5 |
| C3 | | | |
| L | 0.074 | 0.111 | 0 |
| M | 0.189 | 0.216 | 0 |
| U | 0.3 | 0.325 | 0 |
| General fuzzy relations matrix of the main criterion | | | |
| C1 | | | |
| L | 0.515 | 0.968 | 1.139 |
| M | 0.928 | 1.379 | 1.556 |
| U | 1.812 | 2.225 | 2.518 |
| C2 | | | |
| L | 0.768 | 0.548 | 1.087 |
| M | 1.188 | 0.967 | 1.503 |
| U | 2.099 | 1.854 | 2.476 |
| C3 | | | |
| L | 0.198 | 0.244 | 0.205 |
| M | 0.622 | 0.686 | 0.619 |
| U | 1.526 | 1.595 | 1.56 |
The next step was obtaining the sum of rows and columns of matrix. The sum of rows and columns was determined, and then the significance of indices, as well as the relationship between the criteria () were obtained. If > 0, then the relevant criterion is effective and if < 0, it is influenced. In the next step, the fuzzy numbers and from the previous step were defuzzed.
The defuzzied B is the
= (a
1, a
2, a
3) number. The values of impact (
), influence (
), importance (
), and net impact and influence (
) for the main criterion, and also those of the sub-criterion are presented in
Table 4.
| Criterion | | | | | Result | Sub-criterion | Code | | | | | Result | Weight and Relative Priority | Weight and Final Priority |
|---|
| (C1) Safety management | 3.22 | 4.35 | 7.57 | -1.13 | Influenced | Prevention and management of the common surgical complications | C11 | 0.5 | 0.4 | 0.9 | 0.13 | Effective | 0.4 | 1 | 0.17 | 2 |
| Prevention and control of infection | C12 | 0.4 | 0.4 | 0.8 | -0.015 | Influenced | 0.36 | 2 | 0.15 | 3 |
| Acute and emergency care | C13 | 0.3 | 0.4 | 0.6 | -0.116 | Influenced | 0.24 | 3 | 0.1 | 5 |
| (C2) Clinical care | 3.49 | 4.16 | 7.65 | -0.68 | Influenced | Surgical and anesthetic care | C21 | 0.4 | 0.4 | 0.8 | 0.066 | Effective | 0.22 | 3 | 0.09 | 6 |
| Continuing are after surgery | C22 | 0.5 | 0.5 | 1 | -0.004 | Influenced | 0.34 | 2 | 0.14 | 4 |
| Safe discharge and follow-up of patient | C23 | 0.5 | 0.6 | 1.1 | -0.062 | Influenced | 0.44 | 1 | 0.18 | 1 |
| (C3) Management and leadership | 4.22 | 2.42 | 6.64 | 1.8 | Effective | Quality management and patient safety | C31 | 0.7 | 0.8 | 1.5 | -0.062 | Influenced | 0.5 | 1 | 0.09 | 7 |
| Human resource management | C32 | 0.5 | 0.3 | 0.9 | 0.196 | Effective | 0.1 | 4 | 0.02 | 10 |
| Physical structure, facilities, and safe equipment | C33 | 0.5 | 0.6 | 1.1 | -0.103 | Influenced | 0.24 | 2 | 0.04 | 8 |
| Respect for patient rights | C34 | 0.5 | 0.6 | 1.1 | -0.031 | Influenced | 0.17 | 3 | 0.03 | 9 |
According to
Table 4, when
value is positive for an index, it can be effective and when
is negative, the index can be influenced; therefore, among the main criteria, “management and leadership” with net impact/influence of 1.803 was the most effective, and “safety management” with net impact/influence equal to -1.13 was the most influenced factor. Overall, positive
value is a measure of cause, and negative
was the effect criterion.
Table 4 also presents the values for sub-criteria.
The general relations fuzzy matrix is used to determine the network relation map (NRM). In the NRM for the criterion and sub-criterion, the significance () as well as impact and influence () are specified between the criteria. Among the main criteria, the “management and leadership” factor affects “clinical care” and “safety management”. Also, “clinical care” had an impact on “safety management” and was influenced by the “management and leadership” factor. Finally, “safety management” was the most influenced factor that was affected by “management and leadership” and “clinical care”.
4.4. Results of the Network Analysis Process
Afterward, the significance and weight of each factor must be determined to prioritize the criterion based on weight and reach the desired goals. Since there is a relationship between the criteria, the fuzzy ANP method is used to weight the criterion. In this research, we attempted to solve the fuzzy ANP based on the general relations matrix that shows the degree of impact and influence of criterion. The fuzzy DEMATL method was used to solve the fuzzy ANP model. In this section, we first normalized the DEMATEL general relations matrix to obtain a fuzzy matrix of weighted supermatrix. It is worth noting that the unweighted matrix is the same as the general relations matrix. Finally, the weight of criterion and sub-criterion was specified and determined by obtaining and defuzzying the limited supermatrix.
According to
Table 4, the highest weight was related to the “safe patient discharge and follow-up” factor, which gained the first priority. The second to sixth priorities were “Prevention and management of common surgical complications”, “infection prevention and control”, “continuing post-surgical care”, “acute and emergency care”, and “surgical and anesthesia care”, respectively, which accounted for 43.3% of the total weight of sub-criterion, indicating the high significance of this sub-criterion.
The main criterion priority of safety management, clinical care, and management and leadership were 42%, 40%, and 18%, respectively.
Figure 3 shows the final sub-criterion priority graph using the Fuzzy ANP method.
Final priority graph of the sub-criterion (HRM: human resource management)