Non additive ordinal relations representable by lower or upper probabilities
Non additive ordinal relations representable by lower or upper probabilities
复制标题
由较低或较高概率表示的非加性序数关系
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
B. Vantaggi
中科院分区：
文献类型：
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作者：
A. Capotorti;G. Coletti;B. Vantaggi
我们的特点（在必要和充分条件）二元关系表示的概率较低。这种关系可以是非加性的（如概率表示的关系），也可以不是“部分单调”的（如置信函数表示的关系）。此外，我们表征的关系表示的上概率和那些表示的可扩展性。事实上，表征这些关系的条件并不像在数值情形中那样，通过在相反事件上给出的“对偶”条件来直接推导。
We characterize (in terms of necessary and sufficient conditions) binary relations representable by a lower probability. Such relations can be non-additive (as the relations representable by a probability) and also not "partially monotone" (as the relations representable by a belief function). Moreover we characterize relations representable by upper probabilities and those representable by plausibility. In fact the conditions characterizing these relations are not immedi~tely deducible by means of "dual" conditions given on the contrary events, like in the numerical case.