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Dimensionality reduction model based on integer planning for the analysis of key indicators affecting life expectancy

Wei Cui
Wei Cui
, 
Zhiqiang Xu
Zhiqiang Xu
 et 
Ren Mu
Ren Mu
   | 30 nov. 2023
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Article Category: Research Paper
Publié en ligne: 30 nov. 2023
Pages: 102 - 124
Reçu: 19 oct. 2023
Accepté: 09 nov. 2023
DOI: https://doi.org/10.2478/jdis-2023-0025
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© 2023 Wei Cui et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1.

Indicator Relationship Map.
Indicator Relationship Map.

Figure 2.

Structure of the main factors influencing life expectancy.
Structure of the main factors influencing life expectancy.

j.jdis-2023-0025.tab.001

i denotes the subscript of the indicator
j denotes the subscript of alternative class center
I denotes the set of all subscripts of indicators
J denotes the set of all subscripts of alternative class centers
pnum denotes the number of enabled indicators
pcenter denotes the number of classes in the result
λ denotes the lower limit parameter of intra-class correlation
η denotes the upper limit parameter of inter-class correlation
α1 denotes the weight of the inter-class correlations in the objective function
α2 denotes the weight of intra-class correlations in the objective function
α3 denotes the weight of the part above λ or below η in the objective function
α4 denotes the weight of the difference of ζ and ξ in the objective function
cij denotes the absolute value of the Pearson correlation coefficient between the i-th and j-th indicator
cij′ is similar with cij, but cij′ takes the value 0 on the diagonal

Selected disease data for a sample of men in selected countries, 2019.

Disease Name Australia Canada USA Japan China Congo Niger Somalia
Tuberculosis 0.03 0.06 0.34 1.96 25.36 1.66 2.36 5.91
Syphilis 0 0 0.03 0.01 0.99 0.06 0.06 0.23
HIV/AIDS 0.05 0.12 4.12 0.04 21.23 1.68 0.63 0.34
Diarrhoeal Diseases 0.12 0.36 4.08 1.14 4.7 0.81 8.87 8.11
Meningitis 0.02 0.04 0.33 0.17 3.46 0.16 2.73 2.97
Acute Hepatitis A 0.01 0.01 0.24 0.05 0.05 0.01 0.08 0.42
Diabetes Mellitus 2.46 3.38 35.64 3.07 80.63 0.54 1.14 1.75
Peptic Ulcer Disease 0.14 0.23 1.78 1.58 24.13 0.04 0.51 0.39
Kidney Diseases 1.52 2.24 44.01 21.37 103.69 0.31 1.63 1.27
Skin Diseases 0.27 0.28 2.42 1.01 2.62 0.02 0.11 0.07
Rheumatoid Arthritis 0.07 0.09 0.65 0.74 4.12 0.01 0 0.02
Neural Tube Defects 0.03 0.03 0.43 0.05 1.01 0.08 0.75 0.3
Road Injury 0.91 1.35 29.18 3.07 187.4 1.02 3.93 3.01
Self-Harm 2.34 3.27 40.69 13.51 72.51 0.26 0.84 0.93

Evaluation indexes for dimensionality reduction algorithms.

Case 1 Case 2 Case 3 Case 4 Case 5
Index1 0.6018 0.6018 0.5210 0.0090 0.0033
Index2 0.8528 0.8106 0.7893 0.1345 0.0394
Index3 0.6669 0.6669 0.6552 0.3578 0.0226
Index4 0.9086 0.9112 0.8596 0.8033 0.6845
Index5 0.6669 0.6669 0.6552 0.3578 0.0226
Index7 0.1791 0.2807 0.0184 0.8381 0.3279
Index8 0.1791 0.2807 0.0184 0.8381 0.3279
Compactness 1.0282 0.9973 1.2433 1.2396 1.6834
Separation 2.6867 2.6207 2.6634 1.3752 2.3058
DVI 0.8184 0.8184 0.6449 0.3313 0.2488
SI 0.5095 0.5095 0.5472 0.2300 0.1721
DBI 0.7684 0.7577 0.7680 1.8128 1.4645
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Computer Sciences, Information Technology, Project Management, Databases and Data Mining
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