| Literature DB >> 34424559 |
Sudipa Choudhury1, Abhijit Majumdar2, Apu Kumar Saha1, Prasenjit Majumdar3.
Abstract
The preparedness of Indian states and union territories (UTs) against the COVID-19 pandemic has been evaluated. Ten parameters related to demographic, socioeconomic, and healthcare aspects have been considered and the performances of 27 states and three UTs have been evaluated applying the Fuzzy Analytic Hierarchy Process. Opinions of medical experts have been considered to ascertain the relative importance of decision criteria as well as subcriteria. The scores of various states and UTs in each of the decision subcriteria have been calculated by using the secondary data collected from authentic sources. It is found that Kerala and Bihar are the best prepared and worst prepared states, respectively, to combat COVID-19 pandemic. Karnataka, Goa, and Tamil Nadu have very good preparedness whereas Chhattisgarh, Jharkhand, and Bihar have very poor preparedness. Maharashtra, the most affected state in India, has average preparedness. As around 650 million people are vulnerable due to the poor and very poor preparedness of their states, the country needs to make region specific mitigation strategies to combat the COVID-19 pandemic and the preparedness map will be helpful in that direction.Entities:
Keywords: COVID-19; India; fuzzy analytic hierarchy process; pandemic
Mesh:
Year: 2021 PMID: 34424559 PMCID: PMC8662265 DOI: 10.1111/risa.13808
Source DB: PubMed Journal: Risk Anal ISSN: 0272-4332 Impact factor: 4.302
The Basic Operations Between two Triangular Fuzzy Numbers
| Operation | Explanation |
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| Addition |
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| Subtraction |
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| Multiplication |
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| Division |
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| Inverse |
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Pairwise Comparison Used in AHP (Saaty, 1983)
| Rating | Description |
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| 1 | Equal importance |
| 3 | Moderate importance |
| 5 | Strong importance |
| 7 | Very strong importance |
| 9 | Extreme importance |
Linguistic Expressions and Equivalent Triangular Fuzzy Numbers (Wang, Liu, Fan, & Feng, 2009)
| Linguistic judgment | Fuzzy number |
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| Approximately equal |
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| Approximately |
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| Between |
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Fig 1Flow chart of fuzzy AHP methodology
Fig 2Hierarchical model
Decision Criteria and Subcriteria
| Criteria | Subcriteria | Description |
|---|---|---|
| Demographic | Population density (km−2) | Population per square km |
| Slum‐dwellers (%) | Percentage of urban population living in slums | |
| Elderly population (%) | Percentage of people over 60 years of age | |
| Socioeconomic | Literacy rate (%) | Percentage of people who are literate |
| Poverty level (%) | Percentage of people below the poverty level | |
| Per capita income | Per capita income of each state/UT | |
| Medical | Doctors/1000 people | Total number of registered doctors available in 2020 |
| Nurses/1000 people | Total number of registered nurses available in 2020 | |
| Beds/105 people | Total number of hospital beds available in 2020 | |
| Ventilators/105 people | Total number of ventilators available in 2020 |
Data Collected for States and UTs
| Demographic | Socioeconomic | Healthcare | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Name of state/ UT | Slum popu. (%) | Pop density (km−2) | Elderly population (%) | Literacy rate (%) | Poverty level (%) | Percapita income | Doctors (Per 1000 persons) | Nurses (per 1000 persons) | No. of beds (per lakhs) | Ventilators (per lakhs) | |
| A & N Islands | 9.88 | 46 | 6.7 | 86.6 | 1.0 | 1,59,664 | 0.367 | 1.080 | 431.3 | 10.67 | |
| Andhra Pradesh | 36.10 | 308 | 9.8 | 67.0 | 9.2 | 151173 | 1.047 | 2.811 | 98.5 | 2.46 | |
| Arunachal | 4.90 | 17 | 4.6 | 65.4 | 34.7 | 139588 | 0.646 | 0.722 | 201.8 | 5.08 | |
| Assam | 4.48 | 398 | 6.7 | 72.2 | 32.0 | 82078 | 0.722 | 0.676 | 77.5 | 1.94 | |
| Bihar | 10.53 | 1106 | 7.4 | 61.8 | 33.7 | 43822 | 0.385 | 0.091 | 29.7 | 0.74 | |
| Chhattisgarh | 31.98 | 189 | 7.8 | 70.3 | 39.9 | 96887 | 0.271 | 0.512 | 68.4 | 1.71 | |
| Delhi | 10.91 | 11320 | 6.8 | 86.2 | 9.9 | 365529 | 0.963 | 3.665 | 234.9 | 5.87 | |
| Goa | 2.80 | 394 | 11.2 | 88.7 | 5.1 | 458304 | 2.405 | – | 327.4 | 8.21 | |
| Gujarat | 6.53 | 308 | 7.9 | 78.0 | 16.6 | 197447 | 0.893 | 1.796 | 107.4 | 2.69 | |
| Haryana | 18.8 | 573 | 8.7 | 75.6 | 11.2 | 236147 | 0.226 | 1.121 | 142.8 | 3.57 | |
| Himachal Pradesh | 8.90 | 123 | 10.2 | 82.8 | 8.1 | 179188 | 0.413 | 3.034 | 232.5 | 5.81 | |
| Jammu & Kashmir | 19.28 | 124 | 7.4 | 67.2 | 10.3 | 91882 | 1.146 | 0.320 | 64.0 | 1.60 | |
| Jharkhand | 4.70 | 414 | 7.1 | 66.4 | 37.0 | 76019 | 0.155 | 0.101 | 80.5 | 2.01 | |
| Karnataka | 13.93 | 319 | 7.7 | 75.4 | 20.9 | 210887 | 1.718 | 3.797 | 429.7 | 10.74 | |
| Kerala | 1.27 | 860 | 12.6 | 94.0 | 7.1 | 204105 | 1.654 | 7.370 | 297.1 | 7.43 | |
| Madhya Pradesh | 28.35 | 236 | 7.9 | 69.3 | 31.6 | 90998 | 0.473 | 1.636 | 89.4 | 2.24 | |
| Maharashtra | 23.32 | 365 | 9.9 | 82.3 | 17.4 | 191736 | 1.367 | 1.074 | 206.4 | 5.16 | |
| Manipur | – | 128 | 7.0 | 76.9 | 37.0 | 69978 | 0.476 | 2.798 | 63.9 | 1.61 | |
| Meghalaya | 9.64 | 132 | 4.7 | 74.4 | 11.9 | 89024 | 0.202 | 1.576 | 180.8 | 4.52 | |
| Mizoram | 13.74 | 52 | 6.3 | 91.3 | 20.4 | 168626 | 0.133 | 3.405 | 249.6 | 6.20 | |
| Nagaland | – | 119 | 5.2 | 79.6 | 18.9 | 116882 | 0.422 | 0.789 | 134.8 | 3.37 | |
| Odisha | 22.28 | 270 | 9.5 | 72.9 | 32.6 | 95164 | 0.517 | 1.804 | 61.2 | 1.53 | |
| Punjab | 14.04 | 551 | 10.3 | 75.8 | 8.3 | 154996 | 1.613 | 2.768 | 220.2 | 5.51 | |
| Rajasthan | 12.13 | 200 | 7.5 | 66.1 | 14.7 | 110606 | 0.592 | 2.922 | 136.0 | 3.40 | |
| Sikkim | 20.43 | 86 | 6.7 | 81.4 | 8.2 | 357643 | 0.480 | 1.573 | 325.3 | 8.17 | |
| Tamil Nadu | 16.61 | 555 | 10.4 | 80.1 | 11.3 | 193750 | 1.753 | 3.644 | 215.5 | 5.39 | |
| Tripura | 14.54 | 350 | 7.9 | 87.2 | 14.0 | 113102 | 0.417 | 0.785 | 129.6 | 3.25 | |
| Uttar Pradesh | 14.02 | 829 | 7.7 | 67.7 | 29.4 | 66512 | 0.358 | 0.313 | 140.8 | 3.52 | |
| Uttrakhand | 15.99 | 189 | 8.9 | 78.8 | 11.3 | 198738 | 0.706 | 0.151 | 238.4 | 5.96 | |
| West Bengal | 22.06 | 1028 | 8.5 | 76.3 | 20.0 | 109491 | 0.734 | 0.666 | 124.5 | 3.11 | |
Source: National Health profile, 2018; NITI Aayog Health index 2019; and Census data 2011.
Pairwise Comparison Matrix and Weight of Criteria
| Criteria | Demographic | Socioeconomic | Medical | Normalized fuzzy weight | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Demographic | 1.00 | 1.00 | 1.00 | 0.33 | 0.50 | 1.00 | 0.17 | 0.20 | 0.25 | 0.083 | 0.124 | 0.211 |
| Socioeconomic | 1.00 | 2.00 | 3.00 | 1.00 | 1.00 | 1.00 | 0.25 | 0.33 | 0.50 | 0.137 | 0.231 | 0.381 |
| Medical | 4.00 | 5.00 | 6.00 | 2.00 | 3.00 | 4.00 | 1.00 | 1.00 | 1.00 | 0.429 | 0.645 | 0.950 |
Pairwise Comparison Matrix and Local Weights Demographic Subcriteria
| Socioeconomic | Population density | Slumdwellers | Elderly population | Normalized fuzzy weight | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Population density | 1.00 | 1.00 | 1.00 | 0.33 | 0.50 | 1.00 | 0.25 | 0.33 | 0.50 | 0.097 | 0.164 | 0.332 |
| Slum dwellers | 1.00 | 2.00 | 3.00 | 1.00 | 1.00 | 1.00 | 0.33 | 0.50 | 1.00 | 0.153 | 0.297 | 0.603 |
| Elderly population | 2.00 | 3.00 | 4.00 | 1.00 | 2.00 | 3.00 | 1.00 | 1.00 | 1.00 | 0.278 | 0.539 | 0.957 |
Pairwise Comparison Matrix and local Weights of Socioeconomic subcriteria
| Socioeconomic | Literacy rate | Poverty level | Per capita income | Normalized fuzzy weight | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Literacy rate | 1.00 | 1.00 | 1.00 | 0.50 | 1.00 | 2.00 | 2.00 | 3.00 | 4.00 | 0.217 | 0.428 | 0.827 |
| Poverty level | 0.50 | 1.00 | 2.00 | 1.00 | 1.00 | 1.00 | 2.00 | 3.00 | 4.00 | 0.217 | 0.428 | 0.827 |
| Per capita income | 0.25 | 0.33 | 0.50 | 0.25 | 0.33 | 0.50 | 1.00 | 1.00 | 1.00 | 0.087 | 0.144 | 0.264 |
Pairwise Comparison Matrix and Local Weights of Medical Subcriteria
| Medical | Doctors | Nurses | Beds | Ventilators | Normalized fuzzy weight | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Doctors | 1.00 | 1.00 | 1.00 | 1.00 | 1.50 | 2.00 | 2.00 | 3.00 | 4.00 | 5.00 | 6.00 | 7.00 | 0.279 | 0.451 | 0.704 |
| Nurses | 0.50 | 0.67 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 2.00 | 3.00 | 4.00 | 5.00 | 6.00 | 0.186 | 0.318 | 0.530 |
| Beds | 0.25 | 0.33 | 0.50 | 0.33 | 0.50 | 1.00 | 1.00 | 1.00 | 1.00 | 2.00 | 3.00 | 4.00 | 0.100 | 0.166 | 0.306 |
| Ventilators | 0.14 | 0.17 | 0.20 | 0.17 | 0.20 | 0.25 | 0.25 | 0.33 | 0.50 | 1.00 | 1.00 | 1.00 | 0.044 | 0.064 | 0.102 |
Global Weights of Subcriteria
| Subcriteria | Fuzzy weight | Defuzzified weight | Normalized defuzzified weight | ||
|---|---|---|---|---|---|
| Population density | 0.008 | 0.020 | 0.070 | 0.030 | 0.023 |
| Slum dwellers | 0.013 | 0.037 | 0.127 | 0.053 | 0.042 |
| Elderly population | 0.023 | 0.067 | 0.202 | 0.090 | 0.071 |
| Literacy rate | 0.030 | 0.099 | 0.315 | 0.136 | 0.107 |
| Poverty level | 0.030 | 0.099 | 0.315 | 0.136 | 0.107 |
| Per capita income | 0.012 | 0.033 | 0.100 | 0.045 | 0.035 |
| Doctors | 0.120 | 0.291 | 0.669 | 0.343 | 0.271 |
| Nurses | 0.080 | 0.205 | 0.504 | 0.249 | 0.196 |
| Beds | 0.043 | 0.107 | 0.291 | 0.137 | 0.108 |
| Ventilators | 0.019 | 0.041 | 0.097 | 0.050 | 0.039 |
Preparedness Score of Various States and UTs
| State/UT | Score | State/UT | Score |
|---|---|---|---|
| Kerala | 0.69 | Uttrakhand | 0.32 |
| Karnataka | 0.60 | Meghalaya | 0.30 |
| Goa | 0.59 | Jammu & Kashmir | 0.30 |
| Tamil Nadu | 0.52 | Manipur | 0.30 |
| A & N Islands | 0.50 | Nagaland | 0.29 |
| Punjab | 0.48 | West Bengal | 0.28 |
| Delhi | 0.48 | Assam | 0.28 |
| Maharashtra | 0.40 | Tripura | 0.27 |
| Sikkim | 0.40 | Madhya Pradesh | 0.26 |
| Mizoram | 0.38 | Haryana | 0.26 |
| Himachal Pradesh | 0.37 | Odisha | 0.26 |
| Andhra Pradesh | 0.36 | Uttar Pradesh | 0.23 |
| Arunachal | 0.35 | Chhattisgarh | 0.20 |
| Gujarat | 0.35 | Jharkhand | 0.19 |
| Rajasthan | 0.33 | Bihar | 0.18 |
Fig 3Preparedness Map of Indian States and UTs