Interval Models for Comparative Probability on Finite Sets

Let , is less probable than, be a comparative probability relation on the algebra A of all subsets of a finite set S. This paper considers a number of interval representations for , each of which is based on monotonic functions P sub * and P sup * on A with P sub * - P sup *, P sub *(0)=P sub * (0)=O, and P sub *(S)=P sup *(S)=1.