Towards a new justification of the Tastle-Wierman (TW) dissention and consensus measures (and their potential role in education)

Abstract

To estimate how close the estimates of different experts are, W. J. Tastle and M. J. Wierman proposed numerical measures of dissention and consensus, and showed that these measures indeed capture the intuitive ideas of dissent and consensus. In this paper, we show that the Tastle-Wierman formulas can be naturally derived from the basic formulas of fuzzy logic. We also show that these formulas can be used in education, to describe how different the grades of different students are.