Object structure

Title:

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

Subtitle:

Raport Badawczy = Research Report ; RB/20/2008

Creator:

Klukowski, Leszek

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2008

Description:

32 pages ; 21 cm ; Bibliography p. 32

Subject and Keywords:

Multiple pairwise comparisons ; Nearest adjoining order method ; Difference of ranks ; Metoda najbliższego sąsiedztwa   ; Porównania wielokrotne parami ; Różnica rang

Abstract:

The problem of estimation of the preference relation in a finite set on the basis of pairwise comparisons, in the form of difference of ranks with random errors, with the use of nearest adjoining order idea (NAO), is investigated in the paper. The results presented below are extension and correction of earlier works of the author; especially the case of multiple independent comparisons of each pair is examined. The comparisons of each pair are aggregated - two approaches are analysed: averaging of comparisons and median from comparisons. The estimated form of the relation is obtained in both cases on the basis of some discrete programming tasks. The properties of the estimators are obtained under weak assumptions about distributions of comparison errors, in particular the distributions may be unknown.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2008-20

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

×

Citation

Citation style: