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Kybernetika 34(1):79-90, 1998.

Non Additive Ordinal Relations Representable by Lower or Upper Probabilities.

Andrea Capotorti, Giulianella Coletti and Barbara Vantaggi


Abstract:

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 immediately deducible by means of ``dual" conditions given on the contrary events, like in the numerical case.


AMS: 60A;


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BIB TeX

@article{kyb:1998:1:79-90,

author = {Capotorti, Andrea and Coletti, Giulianella and Vantaggi, Barbara},

title = {Non Additive Ordinal Relations Representable by Lower or Upper Probabilities.},

journal = {Kybernetika},

volume = {34},

year = {1998},

number = {1},

pages = {79-90}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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