English

When is the condition of order preservation met?

Discrete Mathematics 2019-03-29 v2

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.

Keywords

Cite

@article{arxiv.1802.02397,
  title  = {When is the condition of order preservation met?},
  author = {Konrad Kulakowski and Jiri Mazurek and Jaroslav Ramik and Michael Soltys},
  journal= {arXiv preprint arXiv:1802.02397},
  year   = {2019}
}

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19 pages