ahpsurvey (version 0.4.0)

ahp.error: Matrix of the product between the pairwise comparison value and pj/pi

Description

Consider the comparison matrix where element \(a_{ij}\) contains the pairwise comparison between the attributes i and j. The weights of the matrix was constructed as in agg.indpref using the Perron eigenvector where \(p_{i}\) and \(p_{j}\) are the weights of the \(i^{th}\) and the \(j^{th}\) element respectively. ahp.error constructs a matrix \(\epsilon_{ij} = a_{ij}p_{j}/p_{i}\).

Usage

ahp.error(ahpmat, atts, reciprocal = FALSE)

Arguments

ahpmat

A list of pairwise comparison matrices of each decision maker generated by ahp.mat.

atts

a list of attributes in the correct order

reciprocal

whether to remove all numbers lower than 1 and put all numbers above 1 in the upper triangular matrix. Useful for visualizing the inconsistency rapidly.

Value

A list of matrices containing \(\epsilon_{ij} = a_{ij}p_{j}/p_{i}\) for each decision-maker, with elements from the lower triangle set as NA automatically (since it is essentially equal to the element in the upper triangle).

References

Saaty2004ahpsurvey

Examples

# NOT RUN {

atts <- c('cult', 'fam', 'house', 'jobs', 'trans')

data(city200)

cityahp <-  ahp.mat(city200, atts, negconvert = TRUE)
ahp.error(cityahp, atts)


# }

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