Search results for: L. Klukowski

Items from 1 to 8 out of 8 results

article

Determining an estimate of an equivalence relation for moderate and large sized sets

L. Klukowski

Operations Research and Decisions > 2017 > Vol. 27, No. 2 > 45--58

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...

article

Estimation of the partial order on the basis of pairwise comparisons

L. Klukowski

Control and Cybernetics > 2014 > Vol. 43, no. 4 > 577--588

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...

article

Estimators of the relations of equivalence, tolerance and preference based on pairwise comparisons with random errors

L. Klukowski

Operations Research and Decisions > 2012 > Vol. 22, No. 2 > 15--34

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...

article

Estimation of the preference relation on the basis of multiple pairwise comparisons in the form of differences of ranks

L. Klukowski

Control and Cybernetics > 2008 > Vol. 37, no 3 > 711-729

The problem of estimation of the preference relation in a finite set on the basis of pairwise comparisons, in the form of differences of ranks with random errors, with the use of nearest adjoining order idea (NAO), is investigated in the paper. The results presented are extension and correction of the earlier works of the author; especially the case of multiple independent comparisons of each pair...

article

Completion and clarification to the paper "Tests for relation type - equivalence or tolerance - in finite set of elements"

L. Klukowski

Control and Cybernetics > 2007 > Vol. 36, no 2 > 467-468

article

Estimation of tolerance relation on the basis of multiple pairwise comparisons with random errors

L. Klukowski

Control and Cybernetics > 2007 > Vol. 36, no 2 > 443-466

The methods of tolerance relation estimation on the basis of pairwise comparisons with random errors, in the case of multiple comparisons for 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 comparison errors are very weak, in particular they may be unknown...

article

Tests for relation type - equivalence or tolerance - in a finite set of elements

L. Klukowski

Control and Cybernetics > 2006 > Vol. 35, no 2 > 369-384

The statistical procedure for determination of the type of relation - equivalence or tolerance - in a finite set of elements, estimated on the basis of pairwise comparisons with random errors, is presented. The procedure consists of two tests based on Chebyshev's inequality for variance of a random variable; the test statistic is a mixture of some random variables. An example of application of the...

article

Minimisation of public debt servicing costs based on nonlinear mathematical programming approach

L. Klukowski, E. Kuba

Control and Cybernetics > 2001 > Vol. 30, no 1 > 99-114

The paper presents formulations of optimisation problems for minimisation of servicing cost of government debt instruments (T-bills and T-bonds) issued in Poland and examples of their applications. The first of these problems allows for determining the structure of T-bills with different maturities - from 1 to 52 weeks (sold at multiprice auction), which minimise their servicing cost. This cost (criterion...

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Keywords

PAIRWISE COMPARISONS (3)
MULTIPLE PAIRWISE COMPARISONS (2)
NEAREST ADJOINING ORDER (2)
NEAREST ADJOINING ORDER METHOD (2)
TESTS FOR RELATION TYPE (2)
BINARY AND MULTIVALENT COMPARISONS (1)
BŁĘDY LOSOWE (1)
COMPARISONS EXPRESSING THE NUMBER OF COMMON FEATURES (1)
DIFFERENCE OF RANKS (1)
EQUIVALENCE RELATION (1)
ESTIMATION (1)
ESTIMATION OF PARTIAL ORDER (1)
ESTIMATION OF RELATIONS (1)
MINIMISATION OF SERVICING COSTS OF PUBLIC DEBT (1)
MULTIPLE PAIRWISE COMPARISONS WITH RANDOM ERRORS (1)
NAJBLIŻSZE SĄSIEDZTWO (1)
OPTIMISATION APPROACH IN PUBLIC DEBT MANAGEMENT (1)
OSZACOWANIE (1)
PAIRWISE COMPARISONS WITH RANDOM ERRORS (1)
PROFITABILITY MINIMISATION OF DEBT INSTRUMENTS SOLD AT AUCTIONS (1)
RANDOM ERRORS (1)
RELACJA RÓWNOWAŻNOŚCI (1)
TOLERANCE RELATION ESTIMATION (1)
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Control and Cybernetics (6)
Operations Research and Decisions (2)

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Search results for: L. Klukowski

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