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Envelopes of a simplex of discrete probabilities
Kříž, Otakar
A formalism for describing different envelopes of a family P of probability distributions on finite sets in suggested. It incorporates lower and upper probabilities, minimal entropy extensions etc. Properties of a simple heuristical algorithm for finding lower and upper probabilities for a simplex P[K] of distributions with fixed marginals K are discussed.
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Associativity in Combination of Belief Functions
Daniel, Milan
The nature of a contradiction (conflict) between two belief functions is investigated. Alternative ways of distribution of the contradiction among nonempty subsets of frame of discernment are studied. A new approach to understanding of the contradiction is used and an original notion of a potential contradiction is introduced. A new way of an associative combination of generalized belief functions is presented. A way of its proportionalization is suggested as well.
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Towards Possibilistic Belief Functions
Kramosil, Ivan
The elementary notions and relations of the so called Dempster-Shafer theory, introducing belief functions as the basic numerical characterictic of uncertainly, are modified to the case when probabilistic measures and basic probability assignments are substituted by possibilistic measures and basic possibilistic assignments.
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