The majority preference relation based on cone preference relations of the decision makers

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The majority preference relation based on cone preference relations of the decision makers. / Zakharov, Alexey O.

In: Procedia Computer Science, Vol. 31, 2014, p. 882-891.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{65b948aec8644de4b6008e6a05d84445,

title = "The majority preference relation based on cone preference relations of the decision makers",

abstract = "A multicriteria group choice problem is considered in the paper. The model includes a set of feasible alternatives, a vector criterion, and n preference relations of the decision makers (DMs). Each preference relation is a cone relation with corresponding properties. It is considered the majority preference relation, as a cone relation constructed upon the cones of the DMs' preference relations. It is shown how to use and aggregate additional information about the DMs' preference relations in case of three DMs and two criteria. The Pareto set of multicriteria problem with {"}new{"} vector criterion forms a group choice, which reduces the Pareto set of initial multicriteria problem.",

keywords = "Group choice, Multicriteria group choice problem, The majority preference relation, The Pareto set",

author = "Zakharov, {Alexey O.}",

note = "Funding Information: This work was supported by the Russian Foundation for Basic Research, project no. 14–07–00899. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.; 2nd International Conference on Information Technology and Quantitative Management, ITQM 2014 ; Conference date: 03-06-2014 Through 05-06-2014",

year = "2014",

doi = "10.1016/j.procs.2014.05.340",

language = "English",

volume = "31",

pages = "882--891",

journal = "Procedia Computer Science",

issn = "1877-0509",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - The majority preference relation based on cone preference relations of the decision makers

AU - Zakharov, Alexey O.

PY - 2014

Y1 - 2014

N2 - A multicriteria group choice problem is considered in the paper. The model includes a set of feasible alternatives, a vector criterion, and n preference relations of the decision makers (DMs). Each preference relation is a cone relation with corresponding properties. It is considered the majority preference relation, as a cone relation constructed upon the cones of the DMs' preference relations. It is shown how to use and aggregate additional information about the DMs' preference relations in case of three DMs and two criteria. The Pareto set of multicriteria problem with "new" vector criterion forms a group choice, which reduces the Pareto set of initial multicriteria problem.

AB - A multicriteria group choice problem is considered in the paper. The model includes a set of feasible alternatives, a vector criterion, and n preference relations of the decision makers (DMs). Each preference relation is a cone relation with corresponding properties. It is considered the majority preference relation, as a cone relation constructed upon the cones of the DMs' preference relations. It is shown how to use and aggregate additional information about the DMs' preference relations in case of three DMs and two criteria. The Pareto set of multicriteria problem with "new" vector criterion forms a group choice, which reduces the Pareto set of initial multicriteria problem.

KW - Group choice

KW - Multicriteria group choice problem

KW - The majority preference relation

KW - The Pareto set

UR - http://www.scopus.com/inward/record.url?scp=84902286612&partnerID=8YFLogxK

U2 - 10.1016/j.procs.2014.05.340

DO - 10.1016/j.procs.2014.05.340

M3 - Conference article

AN - SCOPUS:84902286612

VL - 31

SP - 882

EP - 891

JO - Procedia Computer Science

JF - Procedia Computer Science

SN - 1877-0509

T2 - 2nd International Conference on Information Technology and Quantitative Management, ITQM 2014

Y2 - 3 June 2014 through 5 June 2014

ER -

ID: 74732179