23,413 research outputs found
A Simple Proportional Conflict Redistribution Rule
One proposes a first alternative rule of combination to WAO (Weighted Average
Operator) proposed recently by Josang, Daniel and Vannoorenberghe, called
Proportional Conflict Redistribution rule (denoted PCR1). PCR1 and WAO are
particular cases of WO (the Weighted Operator) because the conflicting mass is
redistributed with respect to some weighting factors. In this first PCR rule,
the proportionalization is done for each non-empty set with respect to the
non-zero sum of its corresponding mass matrix - instead of its mass column
average as in WAO, but the results are the same as Ph. Smets has pointed out.
Also, we extend WAO (which herein gives no solution) for the degenerate case
when all column sums of all non-empty sets are zero, and then the conflicting
mass is transferred to the non-empty disjunctive form of all non-empty sets
together; but if this disjunctive form happens to be empty, then one considers
an open world (i.e. the frame of discernment might contain new hypotheses) and
thus all conflicting mass is transferred to the empty set. In addition to WAO,
we propose a general formula for PCR1 (WAO for non-degenerate cases).Comment: 21 page
Application of probabilistic PCR5 Fusion Rule for Multisensor Target Tracking
This paper defines and implements a non-Bayesian fusion rule for combining
densities of probabilities estimated by local (non-linear) filters for tracking
a moving target by passive sensors. This rule is the restriction to a strict
probabilistic paradigm of the recent and efficient Proportional Conflict
Redistribution rule no 5 (PCR5) developed in the DSmT framework for fusing
basic belief assignments. A sampling method for probabilistic PCR5 (p-PCR5) is
defined. It is shown that p-PCR5 is more robust to an erroneous modeling and
allows to keep the modes of local densities and preserve as much as possible
the whole information inherent to each densities to combine. In particular,
p-PCR5 is able of maintaining multiple hypotheses/modes after fusion, when the
hypotheses are too distant in regards to their deviations. This new p-PCR5 rule
has been tested on a simple example of distributed non-linear filtering
application to show the interest of such approach for future developments. The
non-linear distributed filter is implemented through a basic particles
filtering technique. The results obtained in our simulations show the ability
of this p-PCR5-based filter to track the target even when the models are not
well consistent in regards to the initialization and real cinematic
Human Heading Perception Based on Form and Motion Combination
International audienceThis paper presents a study on human perception of the heading on the base of motion and form visual cues integration. The authors examine how human age influences this process. Because the visual stimuli are in general uncertain, or in some cases even conflicting, the process of combination is estimated on the base on the well known Normalized Conjunctive Consensus fusion rule, as well as on the base of the more efficient Dezert-Smarandache Theory (DSmT) of plausible and paradoxical reasoning, and more precisely on the probabilistic Proportional Conflict Redistribution rule no.5 defined within it. The main goal is focused on how these fusion rules succeed to model consistent and adequate predictions about both individuals' behavior, and age-contingent groups of individuals
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