Pairwise Comparisons Rating Scale Paradox

Abstract

This study demonstrates that incorrect data are entered into a pairwise comparisons matrix for processing into weights for the data collected by a rating scale. Unprocessed rating scale data lead to a paradox. A solution to it, based on normalization, is proposed. This is an essential correction for virtually all pairwise comparisons methods using rating scales. The illustration of the relative error currently, taking place, is discussed.

arXiv comment12 pages, 3 figure, 1 table, progress report, (practically) ready for submission, call for cooperation, call for corrections of formerly published results (especially related to AHP) which may go into tens of thousands