When is the condition of order preservation met? (English) Zbl 1430.90331
Summary: This article explores the relationship between inconsistency in the pairwise comparisons method and conditions of order preservation. A pairwise comparisons matrix with elements from an alo-group (an abelian, linearly ordered 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. Elucidating numerical examples are presented.
MSC:
| 90B50 | Management decision making, including multiple objectives |
| 90C08 | Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) |
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