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Wyświetlanie 1-3 z 3
Tytuł:
Estimators of the relations of equivalence, tolerance and preference based on pairwise comparisons with random errors
Autorzy:
Klukowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/406298.pdf
Data publikacji:
2012
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
estimation of relations
pairwise comparisons with random errors
nearest adjoining order
Opis:
This paper presents a review of results of the author in the area of estimation of the relations of equivalence, tolerance and preference within a finite set based on multiple, independent (in a stochastic way) pairwise comparisons with random errors, in binary and multivalent forms. These estimators require weaker assumptions than those used in the literature on the subject. Estimates of the relations are obtained based on solutions to problems from discrete optimization. They allow application of both types of comparisons – binary and multivalent (this fact relates to the tolerance and preference relations). The estimates can be verified in a statistical way; in particular, it is possible to verify the type of the relation. The estimates have been applied by the author to problems regarding forecasting, financial engineering and bio-cybernetics.
Źródło:
Operations Research and Decisions; 2012, 22, 2; 15-34
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimation of the partial order on the basis of pairwise comparisons
Autorzy:
Klukowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/205797.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
estimation of partial order
multiple pairwise comparisons with random errors
binary and multivalent comparisons
Opis:
The problem of estimation of the partial order on the basis of multiple pairwise comparisons in binary and multivalent form, with random errors, is investigated. The estimators are based on the idea of the nearest adjoining order (see Slater, 1961; Klukowski 2011). Two approaches are examined: comparisons indicating the direction of preference (binary) and comparisons indicating the difference of ranks (multivalent) - both with possibility of existence of incomparable elements. The properties of estimators and the optimization problems formulated in order to obtain them are similar to those for the case of complete relation. However, the assumptions about the distributions of comparison errors are different – they comprise the case of incomparable elements.
Źródło:
Control and Cybernetics; 2014, 43, 4; 577-588
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determining an estimate of an equivalence relation for moderate and large sized sets
Autorzy:
Klukowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/406538.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
estimation
equivalence relation
pairwise comparisons
random errors
nearest adjoining order
oszacowanie
relacja równoważności
błędy losowe
najbliższe sąsiedztwo
Opis:
This paper presents two approaches to determining estimates of an equivalence relation on the basis of pairwise comparisons with random errors. Obtaining such an estimate requires the solution of a discrete programming problem which minimizes the sum of the differences between the form of the relation and the comparisons. The problem is NP hard and can be solved with the use of exact algorithms for sets of moderate size, i.e. about 50 elements. In the case of larger sets, i.e. at least 200 comparisons for each element, it is necessary to apply heuristic algorithms. The paper presents results (a statistical preprocessing), which enable us to determine the optimal or a near-optimal solution with acceptable computational cost. They include: the development of a statistical procedure producing comparisons with low probabilities of errors and a heuristic algorithm based on such comparisons. The proposed approach guarantees the applicability of such estimators for any size of set.
Źródło:
Operations Research and Decisions; 2017, 27, 2; 45-58
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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