Incomplete preference matrix on alo-group and its application to ranking of alternatives

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F16%3A00010659" target="_blank" >RIV/47813059:19520/16:00010659 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1504/IJMOR.2016.079805" target="_blank" >http://dx.doi.org/10.1504/IJMOR.2016.079805</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1504/IJMOR.2016.079805" target="_blank" >10.1504/IJMOR.2016.079805</a>

Result language

angličtina

Original language name

Incomplete preference matrix on alo-group and its application to ranking of alternatives

Original language description

A preference matrix is the result of pairwise comparison a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value from a given scale which is an abelian linearly ordered group (Alo-group) of the real line to any pair of alternatives representing the element of the preference matrix (P-matrix). We generalize the well known multiplicative and additive preference matrices, and also multiplicative and additive fuzzy preference ones. Then we focus on situations where some elements of the P-matrix are missing. We propose a general method for completing P-matrix with missing elements called the extension of the P-matrix.We investigate some important particular case of fuzzy P-matrix with missing elements. Two illustrative numerical examples are supplemented.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10103 - Statistics and probability

Project

<a href="/en/project/GA14-02424S" target="_blank" >GA14-02424S: Methods of operations research for decision support under uncertainty</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Mathematics in Operational Research

ISSN

1757-5850

e-ISSN

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Volume of the periodical

9

Issue of the periodical within the volume

4

Country of publishing house

GB - UNITED KINGDOM

Number of pages

21

Pages from-to

412 - 422

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85018996662