Generating a maximal entropy probability density from an interval-valued fuzzy set
Carol L. Walker, Albert A. Walker, Ronald R. Yager · 2008
Let f be an interval-valued fuzzy subset of a finite set U of size n. This yields n closed intervals inside the unit interval. Picking a point in each interval and dividing by tin sum of the points gives rise to a probability density on the set of intervals. The problem is to pick the points that yield maximum entropy of the resulting density. We provide algorithms for picking such points.