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. 2024 Feb 25;26(3):197. doi: 10.3390/e26030197
H_E Hellwig’s method with equal weights and Euclidean distance
H_EE Hellwig’s method with entropy-based weights and Euclidean distance
H_M Hellwig’s method with equal weights and Mahalanobis distance
H_MM Hellwig’s method with entropy-based weights and Mahalanobis distance
DM Decision maker
TODIM An acronym in Portuguese for Interactive and Multi-criteria Decision Making
MCDM Multi-criteria decision-making
SDG Sustainable Development Goal
TOPSIS Technique for Ordering Preferences by Similarity to Ideal Solution
Notation
The most important notations used in this manuscript:
A1,A2,,Am Alternatives
C1,C2,,Cn Decision criteria
D=xij Decision matrix
W=w1,,wn Vector of weights
I=x1+,,xn+ Ideal (pattern of development)
D¯=x¯ij Normalized matrix
D~=x~ij Weighted normalized matrix
di0(Ai,I) The distances of i-th alternative Ai from the ideal I
Hi Hellwig’s measure for the i-th alternative
Ej Extended and normalized entropy
M(x,y) Weighted Mahalanobis distance between points x and y