| Type: | Package |
| Title: | New Multicriteria Method: AHPGaussian |
| Version: | 0.1.1 |
| Date: | 2023-06-06 |
| Maintainer: | Cid Edson Povoas <cidedson@gmail.com> |
| Depends: | R (≥ 3.6.0), stats |
| Imports: | reshape2, methods |
| 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>. |
| License: | GPL-2 | GPL-3 [expanded from: GPL (≥ 2)] |
| Encoding: | UTF-8 |
| LazyLoad: | yes |
| LazyData: | yes |
| RoxygenNote: | 7.2.3 |
| Suggests: | spelling |
| Language: | en-US |
| NeedsCompilation: | no |
| Packaged: | 2023-06-14 18:11:51 UTC; rzo819 |
| Author: | Cid Edson Povoas 
[aut, cre],
Marcos dos Santos
[aut] |
| Repository: | CRAN |
| Date/Publication: | 2023-06-14 23:42:15 UTC |
New Multicriteria Method: AHPGaussian
Description
Analytic Hierarchy Process (AHP) is a method allowing individuals or groups to make complex decisions. The core concept of AHP is that alternatives are always compared pairwise (and not, say, by giving a score, or sorting alternatives). AHP is used in many fields, from finance to criminal investigation.
The AHP Gaussian is a modification of the AHP that uses a Gaussian function to model the pairwise comparisons between criteria and alternatives. In the traditional AHP, pairwise comparisons are made using numerical values on a scale from 1 to 9, which can be subjective and lead to inconsistencies. The AHP Gaussian addresses this issue by using a continuous function that allows for more precise and consistent comparisons.
The function is defined by a mean value and a standard deviation, which can be estimated from the pairwise comparison data. The resulting weights for the criteria and alternatives are obtained by solving a system of linear equations. The Gaussian AHP has been shown to be effective in various applications, including military decision-making and environmental management.
Usage
ahpgaussian(x)
Arguments
x |
A |
Value
Values are returned from the analysis with results and graphical output
Author(s)
Cid Edson Povoas (cidedson@gmail.com)
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). <doi:10.13033/ijahp.v13i1.833>
Examples
##
## Example 1
##
ahpgaussian(warships)
Summary Method for ahpgaussian objects
Description
Returns (and prints) a summary list for ahpgaussian) objects.
Usage
## S3 method for class 'ahpgaussian'
summary(object,
presentation=FALSE, ...)
Arguments
object |
A given object of the class |
presentation |
Logic.
If |
... |
Potential further arguments (require by generic). |
Author(s)
Cid Edson Povoas (cidedson@gmail.com)
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). <doi:10.13033/ijahp.v13i1.833>
See Also
Examples
##
## Example 1
## ahpgaussian
##
# ahpgaussian
ws <- ahpgaussian(warships)
summary(ws)
Decision Matrix
Description
A data.frame Decision Matrix of the data used Santos (2021), the first column lists the criteria, while the next three columns represent the alternatives and the last column represents the objective choice between minimum and maximum for a given criterion. Each model corresponds to an alternative of ship, classified according to its respective criteria.
Usage
data(warships)
Format
The format is:
'data.frame': 9 obs. of 5 variables:
criteria: chr "Action Radius" "Fuel Endurance" "Autonomy" "Primary Cannon" ...
model_1 : num 4000 11 30 25 1 0 290 592 6
model_2 : num 9330 26 25 25 2 1 310 633 8
model_3 : num 10660 30 35 120 2 ...
min_max : chr "max" "max" "max" "max" ...
#
# Description
#
criteria: Statement of the goal, decision criteria and alternatives.
model_1: Replicate the current Corvette Barroso;
model_2: Build a slightly modernized ship (2.600 ton corvette); or
model_3: Build a model with more significant modernizations (3.000 ton corvette).
min_max: Weights of criteria and alternatives.
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). <doi:10.13033/ijahp.v13i1.833>.
Examples
data(warships)
warships