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When is the condition of order preservation met?

Konrad Kułakowski, Jiri Mazurek, Jaroslav Ramík and Michael Soltys

European Journal of Operational Research, 2019, vol. 277, issue 1, 248-254

Abstract: 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.

Keywords: Decision analysis; Pairwise comparisons; Alo-groups; COP; AHP (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:277:y:2019:i:1:p:248-254

DOI: 10.1016/j.ejor.2019.01.046

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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