Title:

Estimation of the partial order on the basis of pairwise comparisons

Subtitle:

Raport Badawczy = Research Report ; RB/59/2014

Creator:

Klukowski, Leszek

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2014

Description:

577-588 pages ; 21 cm ; Bibliography p. 588

Abstract:

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.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2014-59

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

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.

Access:

Open