English, Article, Journal or magazine article edition: On the normalization of a priority vector associated with a reciprocal relation. Michele Fedrizzi; Matteo Brunelli

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Bookmark: http://trove.nla.gov.au/version/91901
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • On the normalization of a priority vector associated with a reciprocal relation.
Author
  • Michele Fedrizzi
  • Matteo Brunelli
Physical Description
  • preprint
Notes
  • In this paper we show that the widely used normalization constraint SUM(i=​1,n) wi =​ 1 does not apply to the priority vectors associated with reciprocal relations, whenever additive transitivity is involved. We show that misleading applications of this type of normalization may lead to unsatisfactory results and we give some examples from the literature. Then, we propose an alternative normalization procedure which is compatible with additive transitivity and leads to better results.
  • reciprocal relation; fuzzy preference relation; priority vector; normalization
  • RePEc:trt:disawp:0905
Language
  • English
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