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2017•arXiv (Cornell University)Open access

On normalization of inconsistency indicators in pairwise comparisons

Waldemar W. Koczkodaj, Jean-Pierre Magnot, Jiří Mazurek, James F. Peters, Hojjat Rakhshani, Michael Soltys, Dominik Strzałka, Jacek Szybowski, Arturo Tozzi

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Abstract

In this study, we provide mathematical and practice-driven justification for using $[0,1]$ normalization of inconsistency indicators in pairwise comparisons. The need for normalization, as well as problems with the lack of normalization, are presented. A new type of paradox of infinity is described.

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What this paper is about

In this study, we provide mathematical and practice-driven justification for using $[0,1]$ normalization of inconsistency indicators in pairwise comparisons. The need for normalization, as well as problems with the lack of normalization, are presented. A new type of paradox of infinity is described.

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Available abstract

In this study, we provide mathematical and practice-driven justification for using $[0,1]$ normalization of inconsistency indicators in pairwise comparisons. The need for normalization, as well as problems with the lack of normalization, are presented. A new type of paradox of infinity is described.

Key concepts: Normalization (sociology), Pairwise comparison, Econometrics, Mathematics, Computer science, Statistics, Sociology, Social science

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