apply.RIM: Function to apply Reference Ideal Method (RIM) Note: function...

In RMCDA: Multi-Criteria Decision Analysis

Function to apply Reference Ideal Method (RIM) Note: function is rewritten from the MCDM package to match the formatting of the R RMCDA package SOURCE: https://github.com/cran/MCDM/blob/master/R/RIM.R

Description

The apply.RIM function implements the Reference Ideal Method (RIM) for multi-criteria decision making (MCDM) problems, allowing for degenerate intervals, i.e. cases where A == C or D == B.

Usage

apply.RIM(mat, weights, AB, CD)

Arguments

mat	A matrix m x n containing the values of the m alternatives for the n criteria.
weights	A numeric vector of length n, containing the weights for the criteria. The sum of the weights must be equal to 1.
AB	A matrix (2 x n), where the first row of AB corresponds to the A extreme, and the second row of AB corresponds to the B extreme of the domain (universe of discourse) for each criterion.
CD	A matrix (2 x n), where the first row of CD corresponds to the C extreme, and the second row of CD corresponds to the D extreme of the ideal reference for each criterion. Degenerate intervals: If the first element of AB matches the first element of CD, then the interval between A and C collapses to a point. Any value x within this range is treated under a fallback rule: If x equals both A and C, the normalized value is set to 1. Otherwise, the normalized value is set to 0. If the second element of CD matches the second element of AB, then the interval between D and B collapses to a point. A similar fallback applies: If x equals both D and B, the normalized value is set to 1. Otherwise, the normalized value is set to 0. These fallback rules ensure the function does not stop but, instead, issues a warning and assigns a default. Adjust these defaults if your MCDM context requires different handling.

Value

A data frame containing:

• Alternatives: The index of each alternative.

• R: The R index (score) for each alternative.

• Ranking: The ranking of the alternatives based on the R score.

Reference: Cables, E.; Lamata, M.T.; Verdegay, J.L. (2016). RIM-reference ideal method in multicriteria decision making. Information Science, 337-338, 1-10.

Examples

# Example decision matrix
mat <- matrix(
  c(30,40,25,27,45,0,
    9,0,0,15,2,1,
    3,5,2,3,3,1,
    3,2,3,3,3,2,
    2,2,1,4,1,2),
  nrow = 5, ncol = 6, byrow = TRUE
)

#Example weights vector (must sum to 1)
weights <- c(0.2262,0.2143,0.1786,0.1429,0.119,0.119)

#Example AB matrix
AB <- matrix(
  c(23,60,0,15,0,10,
    1,3,1,3,1,5),
  nrow = 2, ncol = 6, byrow = TRUE
)

#Example CD matrix
CD <- matrix(
  c(30,35,10,15,0,0,
    3,3,3,3,4,5),
  nrow = 2, ncol = 6, byrow = TRUE
)


apply.RIM(mat, weights, AB, CD)

RMCDA documentation built on June 8, 2025, 11:14 a.m.