A Genetic Algorithm to Obtain Consistency in Analytic Hierarchy Process

Authors

  • José Fabiano da Serra Costa UERJ

Keywords:

AHP, Inconsistent Matrices, Genetic Algorithms

Abstract

This work presents a proposition to solve the problem of inconsistency in Analytic Hierarchy
Process (AHP) matrices using genetic algorithms. Decision matrices resulting from an application
of AHP can be considered an effective method to structure and represent relevant information of
a strategic problem. Inconsistency in the results is a real and frequent possibility. In this case, the
results obtained would become ineffective considering the objectives of the model, which means
no gains in decision making. The Genetic Algorithms are probabilistic search computer models
which are based on the mechanics of natural selection and genetics, combining the concepts of
selective adaptation and survival of the fittest. They are considered to be a powerful technique of
stochastic optimization and, probably the most important evolutionary computer techniques. Its
application to the AHP matrices case allows the detection of inconsistent matrices, while offers
alternative solutions to the decision-maker.

 

Downloads

Download data is not yet available.

Author Biography

José Fabiano da Serra Costa, UERJ

José Fabiano da Serra Costa received his degree in Industrial Electric Engineering (1987) at CEFET - RJ, M.Sc. in Production Engineering (1990) at COPPE – UFRJ and D.Sc. in Production Engineering (2001) at COPPE – UFRJ. He is professor at Rio de Janeiro State University (UERJ). His research interests include Multicriteria Decision Methods, Genetic Algorithms, Probability and Statistics.

Downloads

Additional Files

Published

2011-12-19

How to Cite

da Serra Costa, J. F. (2011). A Genetic Algorithm to Obtain Consistency in Analytic Hierarchy Process. Brazilian Journal of Operations & Production Management, 8(1), 55–64. Retrieved from https://bjopm.org.br/bjopm/article/view/V8N1A4

Issue

Vol. 8 No. 1 (2011): July, 2011

Section

Articles

License

Authors who publish with this journal agree to the following terms:

- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

- Authors must have a written permission from any third-party materials used in the article, such as figures and graphics. The permission must explicitly allow authors to use the materials. The permission should be submitted with the article, as a supplementary file.

- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after BJO&PM publishes it (See The Effect of Open Access).