Calculation of the preferences vector of the hierarchical analytical process under the optimization approach

Authors

  • Hugo Lara Urdaneta Universidad Centroccidental Lisandro Alvarado, Venezuela
  • Hecmy Osorio Universidad Centroccidental Lisandro Alvarado, Venezuela

Keywords:

Analytical Hierarchical Process, multi-objective decision making, optimization

Abstract

The analytic hierarchy process is a leader tool among multicriteria decision models. Nevertheless, Saaty's eingervector method to find the preferences vector has been criticized. As an alternative we propose a new method to calculate the priority vector based on projection of the priorities matrix on to the set of consistent matrices. We show that our method is well defined, and present numerical evidence that it produces more robust results than Saaty's method.

Downloads

Download data is not yet available.

Author Biography

Hecmy Osorio, Universidad Centroccidental Lisandro Alvarado, Venezuela

Decanato de Ciencias y Tecnología. Departamento de Investigación de Operaciones

References

J. Barzilai, W. Cook and B. Golany. "Consistent weights for judgement matrices of the relative importance of alternatives" Operation Research Letters. 6, ( 2), 131-134 , (1987).

V. Belton and T. Gear. "On a short coming of Saaty's method of Analytic Hierarchies". Omega, 11 (3) 228-230, (1985).

V. Belton and T. Gear. "The legitimacy of rank reversa! A comment". Omega , 13 (3), 143-144 (1985).

J. Dyer. "Remarks on the analytic hierarchy process," Management Science, 36 (3) , 249-258 (1990).

R. Holder. "Sorne comment on the analytic hierarchy process", Journal of the Operational Research Society, 41 (11), 1073- 1076 (1990).

S.Ñash and A. Sofer. "Linear and nonlinear programming", McGraw Hill (1997).

T. Saaty. "Multicriteria Decision Making: The Analytic Hierarchy Process", RWS Publications, Pittsburg. PA (1990).

Published

2007-12-30

How to Cite

[1]
H. Lara Urdaneta and H. Osorio, “Calculation of the preferences vector of the hierarchical analytical process under the optimization approach”, Publ.Cienc.Tecnol, vol. 1, no. 2, pp. 52-61, Dec. 2007.

Issue

Section

Research Article