An Axiomatic Framework for Interval Probability

Xudong Luo and Chengqi Zhang

This paper suggests a new axiomatic framework for interval probability, which is novel in two aspects: 1) this framework can degenerate into the classical probability model; and 2) the sound mathematical properties can be derived from this framework. The above virtues do not exist in the old framework for interval probability, nor in the D-S evidence theory which can also deal with an interval representation of uncertainty.

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