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Subject and Keywords:
Tolerance relation estimation ; Multiple pairwise comparisons ; Comparisons expressing the number of common features ; Wielokrotne porównanie parami ; Estymacja relacji tolerancji ; Porównania wyrażające liczbę wspólnych cech
The methods of tolerance relation estimation on the basis of pairwise comparisons with random errors, in the case of multiple comparisons of each pair are proposed in the paper. Each comparison expresses the number of common features of both elements or the number of their missing features. The assumptions made about distributions of comparisons errors are very weak, especially they may be unknown. Two approaches are discussed: the first one based on averaging of each pair comparisons and the second based on the median from comparisons. Results of estimation are obtained on the basis of discrete programming tasks. The properties of estimators are based on some probabilistic inequalities. An example of application of the estimators proposed is presented too.
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Projects co-financed by:
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.