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arXiv math/0608119math.GM
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Dezert Smarandache理论中的序;连续Dezert Smarandache模型的定义

Order in Dezert Smarandache Theory; definition of continuous Dezert Smarandache models

Frederic Dambreville

摘要:

当实现DSmT时,可能会出现一个困难,因为超幂集可能是巨大的维度,这实际上是自由结构。然而,可以通过涉及逻辑约束来减少这些结构的维度。在本章中,逻辑约束将与逻辑命题的预定义顺序相关。使用这样的命令和它们产生的逻辑约束将确保大大降低模型的复杂性。这样的结果将被应用到连续DSm模型的定义。特别是,被认为是一个简化的描述的连续不精确性,基于不精确的传感器的间隔。从这个角度来看,它是可能的,以DSmT的方式管理连续传感器之间的矛盾,而模型的复杂性保持可处理。

英文摘要:

When implementing the DSmT, a difficulty may arise from the possible huge dimension of hyperpower sets, which are indeed free structures. However, it is possible to reduce the dimension of these structures by involving logical constraints. In this chapter, the logical constraints will be related to a predefined order over the logical propositions. The use of such orders and their resulting logical constraints will ensure a great reduction of the model complexity. Such results will be applied to the definition of continuous DSm models. In particular, a simplified description of the continuous impreciseness is considered, based on impreciseness intervals of the sensors. From this viewpoint, it is possible to manage the contradictions between continuous sensors in a DSmT manner, while the complexity of the model stays handlable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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