RPrometheeV: RPrometheeV
In RMCriteria: Multicriteria Package

Description Usage Arguments Value Author(s) References See Also Examples

PROMETHEE V deals with a subset of alternatives considerating a set of restrictions. First, the PROMETHEE II is calculated to get a complete pre-order. Then, binary linear programming is used to select a subset that maximizes the net outranking flow, according to restrictions. The first step can be calculated using PROMETHEE II or PROMETHEE IV, this is defined by the user through the argument method. The second step is done using the package lp.

1	RPrometheeV(RPrometheeArguments, method = "PrometheeII")

`RPrometheeArguments`	An object with all RPromethee arguments. In PROMETHEE V, the object must have the arguments `constraintDir` and `bounds`, in order to create the subset of alternatives. See `RPrometheeConstructor` for more information.
`method`	a character object used to choose how the RPrometheeV is going to be calculated. The method can be `"PrometheeII"` or `"PrometheeIV"`. The standard is `"RPrometheeII"`.

Phi The resulting net Phi from the alternatives for all criterias.
Solution The solution resulting from linear programming problem.
alternatives The alternatives names.
criterias The criterias names.
datMat The data used corresponding to criterias and alternatives.

Pedro Henrique Melo Albuquerque, pedroa@unb.br

Gustavo Monteiro Pereira, monteirogustavop@gmail.com

M. Behzadian et al.
PROMETHEE: A comprehensive literature review on methodologies and applications
European Journal of Operational Research v. 200, p.198-215, 2010.
https://www.sciencedirect.com/science/article/abs/pii/S0377221709000071
J. P. Brans, Ph. Vincke
A Preference Ranking Organisation Method: (The PROMETHEE Method for Multiple Criteria Decision-Making)
Management science, v. 31, n. 6, p. 647-656, 1985.
https://pdfs.semanticscholar.org/edd6/f5ae9c1bfb2fdd5c9a5d66e56bdb22770460.pdf
J. P. Brans, B. Mareschal
Promethee V: MCDM Problems With Segmentation Constraints
INFOR: Information Systems and Operational Research, v. 30, p. 85-96, 1992.
https://www.tandfonline.com/doi/abs/10.1080/03155986.1992.11732186
J. P. Brans, B. Mareschal
PROMETHEE methods. In: Figueria J, Greco S, Ehrgott M (eds) Multiple criteria decision analysis: state of the art surveys.
Springer Science, Business Media Inc., Boston pp 163???195.
http://www.springer.com/la/book/9780387230818

Other RPromethee methods: PrometheeIIIPlot, PrometheeIIPlot, PrometheeIPlot, PrometheeIVPlot, RPrometheeConstructor, RPrometheeIII, RPrometheeII, RPrometheeIVKernel, RPrometheeIV, RPrometheeI, SensitivityAnalysis, UpdateRPrometheeAlternatives, UpdateRPrometheeArguments, WalkingWeightsPlot, plot,RPrometheeI-method

## Create objects for each argument
data <- matrix(c(5.2, -3.5,
                 4.3, -1.2,
                 6.7, -2.0,
                 5.4, -5.0,
                 4.8,  0.0,
                 2.8, -3.4), byrow = TRUE, ncol = 2)

parms <- matrix(c(1.0, 5.0), byrow = TRUE, ncol = 1, nrow = 2)
vecWeights <- c(0.3, 0.7)
vecMaximiz <- c(FALSE, TRUE)
prefFunction <- c(0, 0)
constraintDir <- rep("<=", ncol(data))
bounds <- c(7,-1)
normalize <- FALSE
alternatives <- c("Alt 1", "Alt 2", "Alt 3")

## Create RPrometheeArguments object
PromObj <- RPrometheeConstructor(datMat = data, vecWeights = vecWeights,
vecMaximiz = vecMaximiz, prefFunction = prefFunction, parms = parms,
normalize = normalize, alternatives = alternatives, bounds = bounds,
constraintDir = constraintDir)

## Run RPrometheeV using standard method ("RPrometheeII")
result <- RPrometheeV(PromObj)

## Run RPrometheeV using "RPrometheeIV
result <- RPrometheeV(PromObj, method = "RPrometheeIV")

## Updating alternatives name using UpdateRPrometheeAlternatives
newAlternatives <- c("A", "B", "C", "D", "E", "F")
result <- UpdateRPrometheeAlternatives(result, newAlternatives)

## Updating any argument using UpdateRPrometheeArguments
newBounds <- c(5, -2)
PromObj <- UpdateRPrometheeArguments(PromObj, "bounds", newBounds)
(result <- RPrometheeV(PromObj))