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  • In this paper an alternative approach to pair-wise comparison method in multi-criteria optimization is proposed and discussed. The aim is to study the unification of multiplicative preference relation as a preference representation structure and additive preference relation, called also fuzzy preference relation, both based on pair-wise comparisons in multipurpose decision-making problems. Under different preference representation structures, the multiplicative preference relations and additive preference relations are incorporated in the decision problem by means of a transformation function between multiplicative and additive preference relations. Some theoretical results on relationships between multiplicative and additive preference relations are presented and comparative study to the classical pair-wise comparison in AHP is discussed. Illustrative numerical examples are supplemented.
  • In this paper an alternative approach to pair-wise comparison method in multi-criteria optimization is proposed and discussed. The aim is to study the unification of multiplicative preference relation as a preference representation structure and additive preference relation, called also fuzzy preference relation, both based on pair-wise comparisons in multipurpose decision-making problems. Under different preference representation structures, the multiplicative preference relations and additive preference relations are incorporated in the decision problem by means of a transformation function between multiplicative and additive preference relations. Some theoretical results on relationships between multiplicative and additive preference relations are presented and comparative study to the classical pair-wise comparison in AHP is discussed. Illustrative numerical examples are supplemented. (en)
Title
  • Pairwise comparison method in multi-criteria optimization an alternative approach
  • Pairwise comparison method in multi-criteria optimization an alternative approach (en)
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  • Pairwise comparison method in multi-criteria optimization an alternative approach
  • Pairwise comparison method in multi-criteria optimization an alternative approach (en)
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  • RIV/47813059:19520/11:#0002135!RIV13-GA0-19520___
http://linked.open...avai/riv/aktivita
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  • P(GA402/09/0405)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 219398
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  • RIV/47813059:19520/11:#0002135
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  • multi-criteria optimization, AHP, pair-wise comparison matrix, reciprocity, consistency (en)
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http://linked.open...ontrolniKodProRIV
  • [0F06F04D01ED]
http://linked.open...v/mistoKonaniAkce
  • Jánská Dolina, SR
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  • Praha
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  • PROCEEDINGS OF THE 29TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2011, PTS I AND II
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  • Ramík, Jaroslav
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  • 000309074600097
http://linked.open.../riv/zahajeniAkce
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  • PROFESSIONAL PUBLISHING
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  • 978-80-7431-058-4
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  • 19520
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