A technical note on two inconsistency indices for preference relations: A case of functional relation

Matteo Brunelli*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)

Abstract

Different representations of valued preferences have been studied and used over the years; however, one common factor has been the prominence of the concept of consistency. Inconsistency indices have been introduced to estimate the deviation of preferences from a fully consistent form. In this note we shall recall two types of preference relations (reciprocal relations and multiplicative preference relations) and show that two inconsistency indices introduced in these two different frameworks are functionally related. Besides this main result, some reflections on the consequences of being functionally related are presented.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalInformation Sciences
Volume357
DOIs
Publication statusPublished - 20 Aug 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Consistency
  • Inconsistency index
  • Multiplicative preference relation
  • Pairwise comparison matrix
  • Reciprocal relation

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