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Statements

Subject Item
n2:RIV%2F61988987%3A17610%2F14%3AA1501C9A%21RIV15-MSM-17610___
rdf:type
n7:Vysledek skos:Concept
dcterms: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.
dcterms:title
Isomorphisms Between Fuzzy Pairwise Comparison Matrices Isomorphisms Between Fuzzy Pairwise Comparison Matrices
skos:prefLabel
Isomorphisms Between Fuzzy Pairwise Comparison Matrices Isomorphisms Between Fuzzy Pairwise Comparison Matrices
skos:notation
RIV/61988987:17610/14:A1501C9A!RIV15-MSM-17610___
n3:aktivita
n17:P
n3:aktivity
P(ED1.1.00/02.0070)
n3:cisloPeriodika
2
n3:dodaniDat
n6:2015
n3:domaciTvurceVysledku
n14:9820434
n3:druhVysledku
n15:J
n3:duvernostUdaju
n11:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
22964
n3:idVysledku
RIV/61988987:17610/14:A1501C9A
n3:jazykVysledku
n4:eng
n3:klicovaSlova
Data analysis; Decision making; Uncertainty; Pairwise comparison; Reciprocal matrix; Inconsistency; Triangular fuzzy numbers; Isomorphism
n3:klicoveSlovo
n9:Pairwise%20comparison n9:Decision%20making n9:Isomorphism n9:Triangular%20fuzzy%20numbers n9:Uncertainty n9:Inconsistency n9:Data%20analysis n9:Reciprocal%20matrix
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[3586A7BBC9E0]
n3:nazevZdroje
Fuzzy optimization and decision making
n3:obor
n16:BB
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n8:ED1.1.00%2F02.0070
n3:rokUplatneniVysledku
n6:2014
n3:svazekPeriodika
14
n3:tvurceVysledku
Ramík, Jaroslav
s:issn
1573-2908
s:numberOfPages
11
n13:organizacniJednotka
17610