About: Fuzzy preference matrix with missing elements and its application to ranking of alternatives

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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 preference 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 preference 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. (en)
Title	Fuzzy preference matrix with missing elements and its application to ranking of alternatives Fuzzy preference matrix with missing elements and its application to ranking of alternatives (en)
skos:prefLabel	Fuzzy preference matrix with missing elements and its application to ranking of alternatives Fuzzy preference matrix with missing elements and its application to ranking of alternatives (en)
skos:notation	RIV/47813059:19520/13:#0002181!RIV14-GA0-19520___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA402/09/0405)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Ramík, Jaroslav
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Obchodně podnikatelská fakulta v Karviné
http://linked.open...dnocenehoVysledku	76092
http://linked.open...ai/riv/idVysledku	RIV/47813059:19520/13:#0002181
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	AHP; decision analysis; fuzzy sets and systems (en)
http://linked.open.../riv/klicoveSlovo	fuzzy sets and systems decision analysis AHP
http://linked.open...ontrolniKodProRIV	[CEF1693E327F]
http://linked.open...v/mistoKonaniAkce	Jihlava
http://linked.open...i/riv/mistoVydani	Jihlava
http://linked.open...i/riv/nazevZdroje	Proc. of the 31st International Conference Mathematical Methods in Economics 2013
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Development of Non-standard Optimization Methods and their Applications in Economy and Management
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Ramík, Jaroslav
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2013-09-11 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	VSP- College of Polytechnics Jihlava
https://schema.org/isbn	978-80-87035-76-4
http://localhost/t...ganizacniJednotka	19520

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