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:
data(cellphones)
cellphones
# criteria Xiaomi Samsung iPhone min_max
# 1 Price 1500 1800 5000 min
# 2 Camera 12 12 20 max
# 3 Storage 64 128 128 max
# 4 Battery Life 24 18 10 max
# 5 Weight 94 120 117 min
cp <- ahpgaussian(cellphones)
summary(cp, TRUE)
#Summary of AHP Gaussian
#
#- Table1 (normalized data)
# criteria min_max variable value sum norm mean sd factor
# 1 Price min Xiaomi 6.666667e-04 1.422222e-03 0.4687500 0.3333333 0.17140086 0.5142026
# 2 Price min Samsung 5.555556e-04 1.422222e-03 0.3906250 0.3333333 0.17140086 0.5142026
# 3 Price min iPhone 2.000000e-04 1.422222e-03 0.1406250 0.3333333 0.17140086 0.5142026
# 4 Camera max Xiaomi 1.200000e+01 4.400000e+01 0.2727273 0.3333333 0.10497278 0.3149183
# 5 Camera max Samsung 1.200000e+01 4.400000e+01 0.2727273 0.3333333 0.10497278 0.3149183
# 6 Camera max iPhone 2.000000e+01 4.400000e+01 0.4545455 0.3333333 0.10497278 0.3149183
# 7 Storage max Xiaomi 6.400000e+01 3.200000e+02 0.2000000 0.3333333 0.11547005 0.3464102
# 8 Storage max Samsung 1.280000e+02 3.200000e+02 0.4000000 0.3333333 0.11547005 0.3464102
# 9 Storage max iPhone 1.280000e+02 3.200000e+02 0.4000000 0.3333333 0.11547005 0.3464102
# 10 Battery Life max Xiaomi 2.400000e+01 5.200000e+01 0.4615385 0.3333333 0.13507248 0.4052175
# 11 Battery Life max Samsung 1.800000e+01 5.200000e+01 0.3461538 0.3333333 0.13507248 0.4052175
# 12 Battery Life max iPhone 1.000000e+01 5.200000e+01 0.1923077 0.3333333 0.13507248 0.4052175
# 13 Weight min Xiaomi 1.063830e-02 2.751864e-02 0.3865852 0.3333333 0.04628057 0.1388417
# 14 Weight min Samsung 8.333333e-03 2.751864e-02 0.3028250 0.3333333 0.04628057 0.1388417
# 15 Weight min iPhone 8.547009e-03 2.751864e-02 0.3105898 0.3333333 0.04628057 0.1388417
#
# - Table2 (normalized factors)
# # A tibble: 5 × 2
# criteria factor
# <chr> <dbl>
# 1 Price 0.299
# 2 Camera 0.183
# 3 Storage 0.201
# 4 Battery Life 0.236
# 5 Weight 0.0807
#
# - Table3 (final ranking)
# # A tibble: 3 × 3
# variable punctuation rank
# <chr> <dbl> <int>
# 1 Xiaomi 0.370 1
# 2 Samsung 0.353 2
# 3 iPhone 0.276 3
plot(cp)
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