Interval-Valued Probability in the Analysis of Problems Containing a Mixture of Fuzzy, Possibilisitic and Interval Uncertainty

摘要

A simple definition of interval-valued probability measure is given and its implications examined. Properties are derived which allow for the analysis of mixtures of fuzzy, possibilistic, probabilistic and interval uncertainty within on problem utilizing interval-valued probability theory. In particular, it is shown that clouds fit within the context of interval-valued probability as derived herein. Examples and applications are given that illustrate the usefulness and power of the concepts