About: Isomorphisms Between Fuzzy Pairwise Comparison Matrices

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This paper deals with pairwise comparison matrices. In comparison with pairwise comparison matrices with crisp elements investigated in the literature, here we investigate also pairwise comparison matrices with fuzzy elements of Abelian linearly ordered group (Alo-group) over a real interval. We generalize the concept of reciprocity and consistency of crisp pairwise comparison matrices to matrices with triangular fuzzy numbers (PCFN matrices). We also define the concept of priority vector which is a generalization of the crisp concept. Doing this we unify several approaches known from the literature. Finally, we show that the properties of reciprocity and consistency of PCFN matrices are saved by special transformations based on fuzzy extensions of isomorphisms between two Alo-groups. This paper deals with pairwise comparison matrices. In comparison with pairwise comparison matrices with crisp elements investigated in the literature, here we investigate also pairwise comparison matrices with fuzzy elements of Abelian linearly ordered group (Alo-group) over a real interval. We generalize the concept of reciprocity and consistency of crisp pairwise comparison matrices to matrices with triangular fuzzy numbers (PCFN matrices). We also define the concept of priority vector which is a generalization of the crisp concept. Doing this we unify several approaches known from the literature. Finally, we show that the properties of reciprocity and consistency of PCFN matrices are saved by special transformations based on fuzzy extensions of isomorphisms between two Alo-groups. (en)
Title	Isomorphisms Between Fuzzy Pairwise Comparison Matrices Isomorphisms Between Fuzzy Pairwise Comparison Matrices (en)
skos:prefLabel	Isomorphisms Between Fuzzy Pairwise Comparison Matrices Isomorphisms Between Fuzzy Pairwise Comparison Matrices (en)
skos:notation	RIV/61988987:17610/14:A1501C9A!RIV15-MSM-17610___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0070)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Ramík, Jaroslav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ostravská univerzita v Ostravě / Centrum excelence IT4Innovations, divize OU, Ústav pro výzkum a aplikace fuzzy modelování
http://linked.open...dnocenehoVysledku	22964
http://linked.open...ai/riv/idVysledku	RIV/61988987:17610/14:A1501C9A
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Data analysis; Decision making; Uncertainty; Pairwise comparison; Reciprocal matrix; Inconsistency; Triangular fuzzy numbers; Isomorphism (en)
http://linked.open.../riv/klicoveSlovo	Uncertainty Inconsistency Isomorphism Reciprocal matrix Triangular fuzzy numbers Decision making Data analysis Pairwise comparison
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[3586A7BBC9E0]
http://linked.open...i/riv/nazevZdroje	Fuzzy optimization and decision making
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	IT4Innovations Centre of Excellence
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	14
http://linked.open...iv/tvurceVysledku	Ramík, Jaroslav
issn	1573-2908
number of pages	11 (xsd:int)
http://localhost/t...ganizacniJednotka	17610

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