A distance measure for bounding probabilistic belief change

A New Approach to Probabilistic Belief Change

One way for an agent to deal with uncertainty about its beliefs is to maintain a probability distribution over the worlds it believes are possible. A belief change operation may recommend some previously believed worlds to become impossible and some previously disbelieved worlds to become possible. This work investigates how to redistribute probabilities due to worlds being added to and removed...

A New Distance Measure for Probabilistic Shape Modeling

The contour of a planar shape is essentially one-dimensional signal embedded in 2-D space; thus the orthogonal distance, which only considers 1-D (norm) deviation from suggested models, is not rich enough to characterize the description quality of arbitrary model/shape pairs. This paper suggests a generalized distance measure, called Transport Distance, for probabilistic shape modeling. B-Splin...

Probabilistic Belief Change: Expansion, Conditioning and Constraining

The AGM theory of belief revision has be­ come an important paradigm for investigat­ ing rational belief changes. Unfortunately, researchers working in this paradigm have re­ stricted much of their attention to rather sim­ ple representations of belief states, namely logically closed sets of propositional sen­ tences. In our opinion, this has resulted in a too abstract categorisation of belief ...

A New Evidential Distance Measure Based on Belief Intervals

So far, most of the evidential distance and similarity measures proposed in the DempsterShafer theory literature have been based on the basic belief assignment function, so as the belief and plausibility functions as two main results of the theory are not directly used in this regard. In this paper, a new evidential distance measure is proposed based on these functions according to nearest neig...

Revision of a fuzzy distance measure