Abstract
This work presents in detail a simplified method for the application of the analytic hierarchy method (AHP) that aims to calculate the priorities of each alternative against a set of criteria with only n-1 comparisons of n alternatives for each criterion (instead of (n2-n)/2 comparisons in the original method proposed by Saaty), followed by the application of a simple formula. This increases the attractiveness of the AHP method for business applications where decisionmakers are subject to a time constraint.•Simplified AHP method.•Reduced number of comparisons.•Saved time of highly qualified technical staff.
Highlights
The analytic hierarchy method (AHP), developed by Saaty, is a powerful multicriteria decisionmaking tool that has been used in numerous applications in various fields of economics, politics and engineering
According to Chai et al [1], the AHP method makes it possible to assign a value representing the preference degree for a given alternative to each additional alternative. Such values can be used to classify and select alternatives based on a hierarchical structure
AHP has been applied to supplier and vendor selection according to Tam and Tummala [4], Deng et al [5], and Rajesh and Malliga [6]
Summary
Considering a given criterion, matrix A is supplemented with values aij, where i is a base alternative for comparison, corresponding to row i, and j is the alternative being compared with i. After the matrix is complete, the process searches for a vector that expresses the priority of each alternative for the considered criterion. According to the method proposed by Saaty, given relation 1 and the fact that the diagonal aij = 1, (n2-n)/2 comparisons are made before proceeding with the calculations of priorities for each matrix with n alternatives.
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