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Conclusion on Quantified Adaptive Fusion


Quantified adaptive fusion showed its capacity to manage adequately the fusion of a great number of sources globally in agreement. When the sources are mainly coherent, the mode of fusion more adapted is the conjunctive fusion of the sources in agreement. Only when no fair majority can be extracted a less conjunctive fusion will be selected.

Transition from a conjunctive fusion towards a more disjunctive fusion is delayed as much as possible. Each time it is possible, we first try to extract an opinion common to a majority of sources . We head towards disjunctive fusion only when the common opinion is supported by a small number of sources. Pure disjunctive fusion is applied only when each source has a different opinion.

However, almost all defects of the adaptive fusion operator are also found here. Quantified adaptive fusion is not associative because of the calculation of the number of sources in agreement, calculated from the height of the intersection of the possibility distributions. Moreover, the calculation of this height generates a complexity in $\mathcal{O}(n \; ln(n))$, and we still find the problem of the instability of the operator between an empty intersection and a nonempty intersection of the possibility distributions.

But it should be noted that the main default of adaptive fusion (namely the binary behaviour at the time of the choice between a conjunctive fusion when the unanimity of the sources is reached, and a disjunctive fusion if not) disappeared.

Quantified adaptive fusion always gives the preference to a fusion of conjunctive type when it is possible. So, if only two sources among k available sources are at least a little in agreement, we will continue to apply a conjunctive fusion for the intersection of these two sources, and a disjunctive fusion outside the intersection. Conjunctive fusion is abandoned only when no intersection is found between any source.

This mainly conjunctive behaviour is very useful for the problem of satellite images and out-image data. The larger the number of sources to be amalgamated is, the more possible it is to find sources in agreement, and the more conjunctive fusion is performed. Disjunctive fusion is only performed if no agreement can be found.



 

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