Dissonance - A Measure of Variability for Ordinal Random Variables
Ronald R. Yager · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 2001
We look at the issue of obtaining a variance like measure associated with probability distributions over ordinal sets. We call these dissonance measures. We specify some general properties desired in these dissonance measures. The centrality of the cumulative distribution function in formulating the concept of dissonance is pointed out. We introduce some specific examples of measures of dissonance.