Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume II: Applications * The Kemeny median for partial rankings. Binary pairwise comparisons matrix approach

Bury, Hanna; Wagner, Dariusz W.

Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume II: Applications * The Kemeny median for partial rankings. Binary pairwise comparisons matrix approach

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Title: Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume II: Applications * The Kemeny median for partial rankings. Binary pairwise comparisons matrix approach

Abstract:

Problem of determining group judgement is to be solved when an aggregated opinion should be formulated on the basis of individual preferences. In general it is assumed that individual preferences are given in the order scale and that all the alternatives can be compared, i.e. linear orders are considered. However the latter assumption is not always satisfied. In such a case one can make use of partial rankings. Pairwise comparisons of alternatives provide a practical framework for acquiring information on ordinal preferences. In the paper the concept of binary comparisons matrix is presented. It can be applied to the problem of determining Kemeny’s median in the case when there are some incomparable alternatives in experts’ rankings. An integer optimization problem is formulated and some numerical examples are given. When experts provide their opinions in the form of linear orders the results obtained with classic as well as binary comparisons matrices are the same.

Relation:

Książka = Book

Detailed Resource Type:

Book

Resource Identifier:

oai:rcin.org.pl:198359

Source:

KS-2010-06-T2P05

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.

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Open

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Last modified:

Oct 15, 2021

In our library since:

Jul 19, 2021

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https://rcin.org.pl./publication/234682

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Ksiazki

Edition name	Date
KS-2010-06-T2P05 : Bury Hanna, Wagner Dariusz W. : Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume II: Applications * The Kemeny median for partial rankings. Binary pairwise comparisons matrix approach	Oct 15, 2021