In this paper, we introduce the notion of interval structures in an at
tempt to establish a unified framework for representing uncertain info
rmation. Two views are suggested for the interpretation of an interval
structure. A typical example using the compatibility view is the roug
h set model in which the lower and upper approximations form an interv
al structure. Incidence calculus adopts the allocation view in which a
n interval structure is defined by the tightest lower and upper incide
nce bounds. The relationship between interval structures and interval-
based numeric belief and plausibility functions is also examined. As a
n application of the proposed model, an algorithm is developed for com
puting the tightest incidence bounds.