Description
New Multicriteria Method: AHPGaussian.
Description
Implements the Analytic Hierarchy Process (AHP) method using Gaussian normalization (AHPGaussian) to derive the relative weights of the criteria and alternatives. It also includes functions for visualizing the results and generating graphical outputs. Method as described in: dos Santos, Marcos (2021) <doi:10.13033/ijahp.v13i1.833>.
README.md
ahpgaussian
The AHPGaussian package provides functions for performing the Analytic Hierarchy Process (AHP) using a Gaussian-based approach. AHP is a widely used decision-making method that helps to prioritize alternatives based on a set of criteria. This package implements the AHP method using Gaussian normalization to derive the relative weights of the criteria and alternatives. It also includes functions for visualizing the AHP results and generating graphical outputs.
Installation
You can install the development version of ahpgaussian from GitHub with:
install.packages("AHPGaussian")
# or
# install.packages("devtools")
devtools::install_github("cidedson/ahpgaussian")
Example
This is a basic example which shows you how to solve a common problem:
library(ahpgaussian)
ws <- ahpgaussian(warships)
summary(ws)
# Table1 :
# criteria min_max variable value sum norm mean sd factor
# 1 Action Radius max model_1 4.000000e+03 2.399000e+04 0.1667361 0.3333333 0.14691617 0.44074851
# 2 Fuel Endurance max model_1 1.100000e+01 6.700000e+01 0.1641791 0.3333333 0.14950228 0.44850684
# 3 Autonomy max model_1 3.000000e+01 9.000000e+01 0.3333333 0.3333333 0.05555556 0.16666667
# 4 Primary Cannon max model_1 2.500000e+01 1.700000e+02 0.1470588 0.3333333 0.32263692 0.96791075
# 5 Secondary Cannon max model_1 1.000000e+00 5.000000e+00 0.2000000 0.3333333 0.11547005 0.34641016
# 6 AAW Missiles max model_1 0.000000e+00 2.000000e+00 0.0000000 0.3333333 0.28867513 0.86602540
# 7 Initial Cost min model_1 3.448276e-03 9.899889e-03 0.3483146 0.3333333 0.01297416 0.03892249
# 8 Life Cycle Cost min model_1 1.689189e-03 4.848747e-03 0.3483764 0.3333333 0.01302772 0.03908315
# 9 Construction Time min model_1 1.666667e-01 4.166667e-01 0.4000000 0.3333333 0.05773503 0.17320508
# 10 Action Radius max model_2 9.330000e+03 2.399000e+04 0.3889120 0.3333333 0.14691617 0.44074851
# 11 Fuel Endurance max model_2 2.600000e+01 6.700000e+01 0.3880597 0.3333333 0.14950228 0.44850684
# 12 Autonomy max model_2 2.500000e+01 9.000000e+01 0.2777778 0.3333333 0.05555556 0.16666667
# 13 Primary Cannon max model_2 2.500000e+01 1.700000e+02 0.1470588 0.3333333 0.32263692 0.96791075
# 14 Secondary Cannon max model_2 2.000000e+00 5.000000e+00 0.4000000 0.3333333 0.11547005 0.34641016
# 15 AAW Missiles max model_2 1.000000e+00 2.000000e+00 0.5000000 0.3333333 0.28867513 0.86602540
# 16 Initial Cost min model_2 3.225806e-03 9.899889e-03 0.3258427 0.3333333 0.01297416 0.03892249
# 17 Life Cycle Cost min model_2 1.579779e-03 4.848747e-03 0.3258118 0.3333333 0.01302772 0.03908315
# 18 Construction Time min model_2 1.250000e-01 4.166667e-01 0.3000000 0.3333333 0.05773503 0.17320508
# 19 Action Radius max model_3 1.066000e+04 2.399000e+04 0.4443518 0.3333333 0.14691617 0.44074851
# 20 Fuel Endurance max model_3 3.000000e+01 6.700000e+01 0.4477612 0.3333333 0.14950228 0.44850684
# 21 Autonomy max model_3 3.500000e+01 9.000000e+01 0.3888889 0.3333333 0.05555556 0.16666667
# 22 Primary Cannon max model_3 1.200000e+02 1.700000e+02 0.7058824 0.3333333 0.32263692 0.96791075
# 23 Secondary Cannon max model_3 2.000000e+00 5.000000e+00 0.4000000 0.3333333 0.11547005 0.34641016
# 24 AAW Missiles max model_3 1.000000e+00 2.000000e+00 0.5000000 0.3333333 0.28867513 0.86602540
# 25 Initial Cost min model_3 3.225806e-03 9.899889e-03 0.3258427 0.3333333 0.01297416 0.03892249
# 26 Life Cycle Cost min model_3 1.579779e-03 4.848747e-03 0.3258118 0.3333333 0.01302772 0.03908315
# 27 Construction Time min model_3 1.250000e-01 4.166667e-01 0.3000000 0.3333333 0.05773503 0.17320508
#
# Table2 :
# criteria factor
# 1 Action Radius 0.12638026
# 2 Fuel Endurance 0.12860489
# 3 Autonomy 0.04779001
# 4 Primary Cannon 0.27753880
# 5 Secondary Cannon 0.09932968
# 6 AAW Missiles 0.24832419
# 7 Initial Cost 0.01116064
# 8 Life Cycle Cost 0.01120671
# 9 Construction Time 0.04966484
#
# Table3 :
# variable punctuation rank
# 19 model_3 0.5143176 1
# 10 model_2 0.3392280 2
# 1 model_1 0.1464544 3
References
dos Santos, M, Costa, I. P. de A., & Gomes, C. F. S. (2021) Multicriteria decision-making in the selection of warships: a new approach to the ahp method. International Journal of the Analytic Hierarchy Process, 13(1). https://doi.org/10.13033/ijahp.v13i1.833