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arXiv math/0310135math.DS
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结合不确定证据和特殊证据的DSm混合模型

Combining Uncertain and Paradoxical Evidences for DSm Hybrid Models

Jean Dezert, Florentin Smarandache

摘要:

针对一类融合问题,提出了一种将不确定证据源与矛盾证据源相结合的一般方法。从Dezert-Smarandache理论(DSmT)的基础上,我们展示了如何调整组合的DSm规则,以考虑由于元素的真实性质而考虑的问题的所有可能的完整性约束(如果有的话)。我们展示了如何Shafer的模型可以被认为是一个特定的DSm混合模型,可以很容易地处理我们的方法和一个新的有效的规则,得到了不同于Dempster规则的组合。还提供了几个简单的例子来显示在这项工作中提出的方法的效率和通用性。

英文摘要:

This paper presents a general method for combining uncertain and paradoxical source of evidences for a wide class of fusion problems. From the foundations of the Dezert-Smarandache Theory (DSmT) we show how the DSm rule of combination can be adapted to take into account all possible integrity constraints (if any) of the problem under consideration due to the true nature of elements/concepts involved into it. We show how the Shafer's model can be considered as a specific DSm hybrid model and be easily handled by our approach and a new efficient rule of combination different from the Dempster's rule is obtained. Several simple examples are also provided to show the efficiency and the generality of the approach proposed in this work.

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