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  • A fuzzy 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 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 situ- ations 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 case 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 pairwise 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 situ- ations 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 case 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
  • Incomplete fuzzy preference matrix and its application to ranking of alternatives
  • Incomplete fuzzy preference matrix and its application to ranking of alternatives (en)
skos:prefLabel
  • Incomplete fuzzy preference matrix and its application to ranking of alternatives
  • Incomplete fuzzy preference matrix and its application to ranking of alternatives (en)
skos:notation
  • RIV/47813059:19520/14:#0002946!RIV15-GA0-19520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA14-02424S)
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 21137
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19520/14:#0002946
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  • multi-criteria optimization; AHP; pairwise comparison; fuzzy sets (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [FB60EDE1D162]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Intelligent Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 29
http://linked.open...iv/tvurceVysledku
  • Ramík, Jaroslav
http://linked.open...ain/vavai/riv/wos
  • 000337632700005
issn
  • 1098-111X
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/int.21663
http://localhost/t...ganizacniJednotka
  • 19520
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