Application of Fuzzy AHP for Medication Decision Making in Iron-Chelating Medications for Thalassemia
Abstract
:1. Introduction
2. Materials and Methods
- Review studies to determine the alternatives, criteria, and sub-criteria, and develop the AHP model.
- Select experts according to the exclusion and inclusion criteria.
- Determine the side effects of the alternatives and categorize them into three sub-criteria, namely mild, moderate, and severe, for the experts’ evaluation.
- Train the experts to complete the pairwise comparison matrix.
- Use the FAHP analysis to prioritize the alternatives, criteria, and sub-criteria [25].
- Repeat step four in case of a consistency ratio higher than 0.1.
- Conduct the agreement analysis of preferences between two groups of experts with either over or below 10 years of experience using the Bland–Altman test.
2.1. Study Group
2.2. Developing an AHP Model
2.3. Pairwise Comparison Matrices of FAHP
2.4. Calculation of the Si for Each Row of the Pairwise Comparison Matrix
2.5. Calculation of the Magnitude of Triangular Fuzzy Numbers
2.6. Calculation of the Weight of the Alternatives, Criteria, and Weight Vector
3. Results
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Linguistic Variables | Triangular Fuzzy Numbers | Triangular Fuzzy Numbers (Reciprocals) |
---|---|---|
Equal importance | (1, 1, 1) | (1, 1, 1) |
Moderate importance | (2, 3, 4) | (1/4, 1/3, 1/2) |
Strong importance | (4, 5, 6) | (1/6, 1/5, 1/4) |
Very strong importance | (6, 7, 8) | (1/8, 1/7, 1/6) |
Extreme importance | (9, 9, 9) | (1/9, 1/9, 1/9) |
Intermediate values | (1, 2, 3), (3, 4, 5), (5, 6, 7), and (7, 8, 9) | (1/3, 1/2, 1), (1/5, 1/4, 1/3), (1/7, 1/6, 1/5), and (1/9, 1/8, 1/7) |
N | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|---|
RI | 0.00 | 0.58 | 0.9 | 1.12 | 1.24 | 1.32 | 1.41 | 1.45 | 1.51 |
Criteria and Sub-Criteria | Normalized Weight | Dimension | RI | λ 1 | CI 2 | CR 3 | |
---|---|---|---|---|---|---|---|
Criteria | Effectiveness | 41.43 | 4 | 0.9 | 4.24 | 0.08 | 0.088 |
Satisfaction | 22.27 | ||||||
Side effects | 20.19 | ||||||
Cost | 16.11 | ||||||
Side effects sub-criteria | Severe side effects | 63.81 | 3 | 0.58 | 3.06 | 0.03 | 0.052 |
Moderate side effects | 27.37 | ||||||
Mild side effects | 8.82 | ||||||
Effectiveness sub-criteria | Reduction in liver iron concentration | 47.09 | 3 | 0.58 | 3.10 | 0.05 | 0.088 |
Reduction in cardiac iron load | 27.75 | ||||||
Reduction in serum ferritin | 25.16 |
Deferasirox | Deferoxamine | Deferiprone | Dimension | RI | λ | CI | CR | |
---|---|---|---|---|---|---|---|---|
Effectiveness | 26.70 | 35.25 | 38.05 | 3 | 0.58 | 3.02 | 0.013 | 0.022 |
Reduction in liver iron concentration | 19.39 | 41.73 | 38.88 | 3 | 0.58 | 3.02 | 0.012 | 0.021 |
Reduction in cardiac iron load | 23.12 | 30.07 | 46.81 | 3 | 0.58 | 3.02 | 0.013 | 0.023 |
Reduction in serum ferritin | 38.04 | 33.33 | 28.63 | 3 | 0.58 | 3.03 | 0.017 | 0.029 |
Satisfaction | 67.94 | 16.44 | 15.62 | 3 | 0.58 | 3.02 | 0.013 | 0.022 |
Side effects | 28.85 | 37.84 | 33.31 | 3 | 0.58 | 3.03 | 0.013 | 0.026 |
Mild side effects | 29.85 | 33.29 | 37.86 | 3 | 0.58 | 3.03 | 0.018 | 0.031 |
Moderate side effects | 28.63 | 40.08 | 31.30 | 3 | 0.58 | 3.02 | 0.014 | 0.025 |
Severe side effects | 27.21 | 39.98 | 32.81 | 3 | 0.58 | 3.02 | 0.013 | 0.023 |
Cost | 64.84 | 16.84 | 18.33 | 3 | 0.58 | 3.02 | 0.013 | 0.022 |
Criteria and Sub-Criteria | D | RI | Weight for Experience < 10 | λ | CI | CR | Weight for Experience > 10 | λ | CI | CR |
---|---|---|---|---|---|---|---|---|---|---|
Effectiveness | 4 | 0.9 | 41.62 | 4.19 | 0.063 | 0.070 | 29.72 | 4.21 | 0.071 | 0.079 |
Satisfaction | 24.97 | 23.30 | ||||||||
Side effects | 15.86 | 21.06 | ||||||||
Cost | 17.55 | 26.01 | ||||||||
Severe side effects | 3 | 0.58 | 63.32 | 3.05 | 0.025 | 0.043 | 64.52 | 3.08 | 0.041 | 0.070 |
Moderate side effects | 28.44 | 25.58 | ||||||||
Mild side effects | 8.24 | 9.90 | ||||||||
Reduction in liver iron load | 3 | 0.58 | 52.83 | 3.04 | 0.023 | 0.04 | 60.67 | 3.05 | 0.025 | 0.044 |
Reduction in cardiac iron load | 28.66 | 20.07 | ||||||||
Reduction in serum ferritin | 18.51 | 19.26 |
Deferasirox | Deferoxamine | Deferiprone | ||||
---|---|---|---|---|---|---|
<10 | >10 | <10 | >10 | <10 | >10 | |
Cost | 62 | 60 | 15 | 23 | 23 | 16 |
Effectiveness | 23 | 35 | 44 | 26 | 33 | 38 |
Reduction in liver iron concentration | 16 | 28 | 48 | 32 | 36 | 40 |
Reduction in cardiac iron load | 21 | 29 | 43 | 23 | 36 | 48 |
Reduction in serum ferritin | 31 | 49 | 41 | 25 | 27 | 26 |
Satisfaction | 67 | 69 | 19 | 13 | 15 | 18 |
Side effects | 32 | 23 | 38 | 37 | 30 | 41 |
Mild side effects | 33 | 25 | 32 | 36 | 35 | 38 |
Moderate side effects | 34 | 21 | 37 | 45 | 29 | 35 |
Severe side effects | 29 | 23 | 46 | 29 | 25 | 48 |
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Barzegari, S.; Rostamian, H.; Firoozi-Majd, E.; Arpaci, I. Application of Fuzzy AHP for Medication Decision Making in Iron-Chelating Medications for Thalassemia. Pharmacy 2025, 13, 86. https://doi.org/10.3390/pharmacy13030086
Barzegari S, Rostamian H, Firoozi-Majd E, Arpaci I. Application of Fuzzy AHP for Medication Decision Making in Iron-Chelating Medications for Thalassemia. Pharmacy. 2025; 13(3):86. https://doi.org/10.3390/pharmacy13030086
Chicago/Turabian StyleBarzegari, Saeed, Hosein Rostamian, Ehsan Firoozi-Majd, and Ibrahim Arpaci. 2025. "Application of Fuzzy AHP for Medication Decision Making in Iron-Chelating Medications for Thalassemia" Pharmacy 13, no. 3: 86. https://doi.org/10.3390/pharmacy13030086
APA StyleBarzegari, S., Rostamian, H., Firoozi-Majd, E., & Arpaci, I. (2025). Application of Fuzzy AHP for Medication Decision Making in Iron-Chelating Medications for Thalassemia. Pharmacy, 13(3), 86. https://doi.org/10.3390/pharmacy13030086