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Belief functions generated by fuzzy and randomized compatibility relations. (English) Zbl 1038.68117
Summary: The standard combinatoric model of belief functions can be generalized in two ways: (1) the crisp compatibility relation is replaced by a fuzzy relation and (2) the values of crisp compatibility relation are observed through a binary information channel with noise and, perhaps, subjected to a deformation, in other terms, the original compatibility relation is replaced by its randomized modification. Both the generalizations are investigated, separately, in more detail.
68T37 Reasoning under uncertainty in the context of artificial intelligence
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