The paper presents unified approach to estimation of three relations: preference, equivalence and tolerance on the basis of multiple pairwise comparisons with random errors. The estimates are obtained on the basis of discrete optimization tasks, which minimize inconsistencies between relations form and comparisons. The properties of the estimators are obtained on the basis of well-known probabilistic inequalities and properties of quantiles. The approach allows relaxation of some assumptions about comparison errors applied in other methods based on pairwise comparisons.
Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.
Oct 15, 2021
Jul 19, 2021