On Inconsistency of a Pairwise Comparison Matrix (original) (raw)

Analytical Hierarchy Process is a method of solving a Multiple Attribute Decision Making. This method is based on the pairwise comparisons between the alternatives. These comparisons form a matrix named pairwise comparison matrix or judgment matrix. The weights of mentioned alternatives will be determined from this mentioned above matrix. In the case of consistency of the judgments, the cited weights are reliable and trusty. On the other hand, if the consistency of the judgment matrix is not acceptable, the result su cient level of trust. In this case it is requested that the decision maker revise the judgment. In this paper we propose a method to approximate a consistent judgment matrix from an inconsistent one without the revision of the judgments. This method is based on decreasing the e ects of the mistakes made by the decision maker.