MCDM (version 1.2)

VIKOR: Implementation of VIKOR Method for Multi-Criteria Decision Making Problems.

Description

The VIKOR function implements the "VIseKriterijumska Optimizacija I Kompromisno Resenje" (VIKOR) Method.

Usage

VIKOR(decision, weights, cb, v)

Arguments

decision

The decision matrix (m x n) with the values of the m alternatives, for the n criteria.

weights

A vector of length n, containing the weights for the criteria. The sum of the weights has to be 1.

cb

A vector of length n. Each component is either cb(i)='max' if the i-th criterion is benefit or cb(i)='min' if the i-th criterion is a cost.

v

A value in [0,1]. It is used in the calculation of the Q index.

Value

VIKOR returns a data frame which contains the score of the S, R and Q indixes and the ranking of the alternatives according to Q index.

References

Opricovic, S.; Tzeng, G.H. Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445-455, 2004.

Examples

 d <- matrix(c(1,2,5,3000,3750,4500),nrow = 3,ncol = 2)
 w <- c(0.5,0.5)
 cb <- c('min','max')
 v <- 0.5
 VIKOR(d,w,cb,v)