When is the condition of order preservation met?
arXiv:1802.02397 · doi:10.1016/j.ejor.2019.01.046
Abstract
This article explores a relationship between inconsistency in the pairwise comparisons method and conditions of order preservation. A pairwise comparisons matrix with elements from an alo-group is investigated. This approach allows for a generalization of previous results. Sufficient conditions for order preservation based on the properties of elements of pairwise comparisons matrix are derived. A numerical example is presented.
19 pages
References in corpus (5)
- On Axiomatization of Inconsistency Indicators for Pairwise Comparisons
- Notes on discrepancy in the pairwise comparisons method
- On the Properties of the Priority Deriving Procedure in the Pairwise Comparisons Method
- Heuristic Rating Estimation Approach to The Pairwise Comparisons Method
- Heuristic rating estimation - geometric approach
Cited by in corpus (5)
- On the geometric mean method for incomplete pairwise comparisons
- On the Derivation of Weights from Incomplete Pairwise Comparisons Matrices via Spanning Trees with Crisp and Fuzzy Confidence Levels
- On the similarity between ranking vectors in the pairwise comparison method
- Satisfaction of the Condition of Order Preservation: A Simulation Study
- Pairwise Comparisons Matrix Decomposition into Approximation and Orthogonal Component Using Lie Theory