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Statements

Subject Item
n2:RIV%2F47813059%3A19520%2F13%3A%230002182%21RIV14-GA0-19520___
rdf:type
n17:Vysledek skos:Concept
dcterms:description
A fuzzy preference matrix is the result of pair-wise comparison a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value between 0 and 1 to any pair of alternatives representing the element of the fuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy pref- erence matrices and multiplicative preference ones. The obtained results are applied to situations where some elements of the fuzzy preference matrix are missing. We propose a new method for completing fuzzy matrix with missing elements called the extension of the fuzzy preference matrix. We investigate some important particular cases of fuzzy preference matrix with missing elements. Consequently, by the eigenvector of the transformed matrix we obtain the corresponding priority vector. Illustrative numerical examples are supplemented. A fuzzy preference matrix is the result of pair-wise comparison a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value between 0 and 1 to any pair of alternatives representing the element of the fuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy pref- erence matrices and multiplicative preference ones. The obtained results are applied to situations where some elements of the fuzzy preference matrix are missing. We propose a new method for completing fuzzy matrix with missing elements called the extension of the fuzzy preference matrix. We investigate some important particular cases of fuzzy preference matrix with missing elements. Consequently, by the eigenvector of the transformed matrix we obtain the corresponding priority vector. Illustrative numerical examples are supplemented.
dcterms:title
Additively and Multiplicatively Transitive Fuzzy Relations in Ranking of Alternatives Additively and Multiplicatively Transitive Fuzzy Relations in Ranking of Alternatives
skos:prefLabel
Additively and Multiplicatively Transitive Fuzzy Relations in Ranking of Alternatives Additively and Multiplicatively Transitive Fuzzy Relations in Ranking of Alternatives
skos:notation
RIV/47813059:19520/13:#0002182!RIV14-GA0-19520___
n17:predkladatel
n22:orjk%3A19520
n3:aktivita
n10:P
n3:aktivity
P(GA402/09/0405)
n3:dodaniDat
n7:2014
n3:domaciTvurceVysledku
n21:3964086 n21:9820434
n3:druhVysledku
n18:D
n3:duvernostUdaju
n5:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
59527
n3:idVysledku
RIV/47813059:19520/13:#0002182
n3:jazykVysledku
n13:eng
n3:klicovaSlova
ranking of alternatives; fuzzy relation; additive and multiplicative transitivity
n3:klicoveSlovo
n11:fuzzy%20relation n11:additive%20and%20multiplicative%20transitivity n11:ranking%20of%20alternatives
n3:kontrolniKodProRIV
[3E1C7D61CC13]
n3:mistoKonaniAkce
Mariánské Lázně
n3:mistoVydani
Jindřichův Hradec
n3:nazevZdroje
Proceedings of the 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty CJS 2013
n3:obor
n19:BB
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n12:GA402%2F09%2F0405
n3:rokUplatneniVysledku
n7:2013
n3:tvurceVysledku
Ramík, Jaroslav KORVINY, Petr
n3:typAkce
n4:WRD
n3:zahajeniAkce
2013-09-19+02:00
s:numberOfPages
16
n15:hasPublisher
Faculty of Management Jindřichův Hradec, University of Economics Praha
n20:isbn
978-80-245-1950-0
n14:organizacniJednotka
19520