We formulate an ergodic theory for the (almost sure) limit PE˜co of a sequence (PEnco) successive dynamic imprecise probability kinematics (DIPK, introduced in [10]) updates set PE0co representing initial beliefs agent. As consequence, we strong law large numbers.

We review several of de Finetti’s fundamental contributions where these have played and continue to play an important role in the development of imprecise probability research. Also, we discuss de Finetti’s few, but mostly critical remarks about the prospects for a theory of imprecise probabilities, given the limited development of imprecise probability theory as that was known to him.

the selection of best information system (is) project from many competing proposals is a critical business activity which is very helpful to all organizations. while previous is project selection methods are useful but have restricted application because they handle only cases with precise data. indeed, these methods are based on precise data with less emphasis on imprecise data. this paper pro...

Data imprecision constitutes an important gap between theory and practice in computational geometry. A lot of research about imprecision in computational geometry is directed at computing the convex hull of imprecise points rather than imprecise line segment intersection. In this paper we introduce an algorithm to construct the convex hull for a set of imprecise line segment intersection in time.

We review several of de Finetti’s fundamental contributions where these have played and continue to play an important role in the development of imprecise probability research. Also, we discuss de Finetti’s few, but mostly critical remarks about the prospects for a theory of imprecise probabilities, given the limited development of imprecise probability theory as that was known to him.

The problem of aggregating two or more sources of information containing knowledge about a same domain is considered. We propose an aggregation rule for the case where the available information is modeled by coherent lower previsions, corresponding to convex sets of probability mass functions. The consistency between aggregated beliefs and sources of information is discussed. A closed formula, ...

IntroductIon Functional dependencies represent a fundamental concept in the design of a database since they are capable of capturing some semantics of the data strongly connected with the occurrence of redundancy in a database. The development of applications working on fuzzy and multimedia databases has required the extension of the functional dependency notion to these new types of data. Unfo...

Article history: Available online 28 June 2012

An imprecise point is a point p with an associated imprecision region Ip indicating the set of possible locations of the point p. We study separability problems for a set R of red imprecise points and a set B of blue imprecise points in R, where the imprecision regions are axis-aligned rectangles and each point p ∈ R∪B is drawn uniformly at random from Ip. Our results include algorithms for fin...

A technique to perform design calculations on imprecise representations of parameters has been developed and is presented. The level of imprecision in the description of design elements is typically high in the preliminary phase of engineering design. This imprecision is represented using the fuzzy calculus. Calculations can be performed using this method, to produce (imprecise) performance par...