ahp: The Analytic hierarchy process (AHP)

In pmr: Probability Models for Ranking Data

The Analytic hierarchy process (AHP)

Description

Computing the weights, Saaty's (1977) and Koczkodaj's (1997) inconsistencies for analytic hierarchy process (AHP).

Usage

ahp(dset, sim_size=500)

Arguments

dset	an “A” matrix. It should be a square matrix with diagonal values equal 1 and $a_ij = 1/a_ij$.
sim_size	simulation size for computation of Saaty's inconsistency. Default is 500.

Value

weighting	Eigenvalues of the criteria.
Saaty	Saaty's inconsistency.
Koczkodaj	Koczkodaj's inconsistency.

Author(s)

Paul H. Lee and Philip L. H. Yu

References

Koczkodaj, W. W., Herman, M. W., and Orlowski, M. (1997) Using consistency-driven pairwise comaprisons in knowledge-based systems. Proceedings of the sixth international conference on information and knowledge management, ACM Press, 91-96.

Saaty, T. L. (1980) The Analytic Hierarchy Process. McGraw-Hill, New York.

Saaty, T. L. (1977) A scaling methods for priorities in hierarchical structure. Journal of Mathematical Psychology, 15, 234-281.

Examples

## create an artificial A matrix abc, example taken from Koczkodaj et al. (1997)
abc <- matrix(data = 1:16, nrow = 4, ncol = 4, byrow = TRUE)
abc[1,1] <- 1
abc[1,2] <- 2
abc[1,3] <- 5
abc[1,4] <- 4
abc[2,1] <- 1/2
abc[2,2] <- 1
abc[2,3] <- 3
abc[2,4] <- 1.9
abc[3,1] <- 1/5
abc[3,2] <- 1/3
abc[3,3] <- 1
abc[3,4] <- 0.7
abc[4,1] <- 1/4
abc[4,2] <- 1/1.9
abc[4,3] <- 1/0.7
abc[4,4] <- 1

## compute the weights, Saaty's and Koczkodaj's inconsistencies
## ahp(abc)

pmr documentation built on June 24, 2022, 5:06 p.m.