ON MODELING UNCERTAINTY WITH INTERVAL STRUCTURES
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TL;DR
The notion of interval structures is introduced in an attempt to establish a unified framework for representing uncertain information and an algorithm is developed for computing the tightest incidence bounds.
Abstract
In this paper, we introduce the notion of interval structures in an attempt to establish a unified framework for representing uncertain information. Two views are suggested for the interpretation of an interval structure. A typical example using the compatibility view is the rough set model in which the lower and upper approximations form an interval structure. Incidence calculus adopts the allocation view in which an interval structure is defined by the tightest lower and upper incidence bounds. The relationship between interval structures and interval‐based numeric belief and plausibility functions is also examined. As an application of the proposed model, an algorithm is developed for computing the tightest incidence bounds.
