Mathematical Foundations of Inconsistency Analysis in Pairwise Comparisons
Year: 2015
Type: preprint
Abstract: This study, based on contemporary mathematical foun- dations, presents an abelian group approach to analyzing inconsis- tency in pairwise comparisons. A general and precise notion of an inconsistency indicator map on a group, taking values in an abelian linearly ordered group, is introduced. For it, metrics and general- ized metrics are investigated. Every inconsistency indicator map generates an inconsistency index of a pairwise comparisons matrix. The inconsistency analysis in pairwise comparisons has broad ap- plications in multi-criteria decision making.
Source: arXiv (Cornell University)
Language: English
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W2100023586