Contracting and Involutive Negations of Probability Distributions

A dozen papers have considered the concept of negation probability distributions (pd) introduced by Yager. Usually, such negations are generated point-by-point functions defined on a set values and called here negators. Recently class pd-independent linear negators has been characterized using Yager’s negator. The open problem was how to introduce involutive generating pd. To solve this problem, we extend concepts contracting studied in fuzzy logic distributions. First, prove that sequence multiple pd negator converges uniform distribution with maximal entropy. Then, show any is non-involutive, non-trivial strictly contracting. Finally, an pd-dependent It generates