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Ad ifficulty may arise during the implementation of DSmT from the possible high dimension of the hyperpower sets, which are in fact free structures. However, it is possible to reduce the dimension of these structures by imposing logical constraints. In this article, the logical constraints are related to a predefined order over the logical propositions. Using such orders and the resulting logical constraints ensure a great reduction of model complexity. These results are applied to the definition of continuous DSm models. In particular, a simplified description of the continuous imprecision is considered based on the imprecision intervals of the sensors. From this point of view, it is possible to control the contradictions between continuous sensors in a DSmT manner, while the complexity of the model remains under control.

Ordered DSmT and its Application to the Definition of Continuous DSm Models