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On interpretation of T-product extensions of possibility distributions

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    0427068 - ÚTIA 2015 RIV NL eng J - Journal Article
    Vejnarová, Jiřina
    On interpretation of T-product extensions of possibility distributions.
    Fuzzy Sets and Systems. Roč. 232, č. 1 (2013), s. 3-17. ISSN 0165-0114
    R&D Projects: GA ČR GAP402/11/0378
    Institutional support: RVO:67985556
    Keywords : Possibility theory * Extension * Triangular norm * Conditional independence * Sets of probability distributions
    Subject RIV: BA - General Mathematics
    Impact factor: 1.880, year: 2013

    T-product extensions(where T is a continuoust-norm) of a system of low-dimensional possibility distributions form an important class of solutions of the so-called possibilistic marginal problem. Nevertheless, they can differ from each other, e.g., from the viewpoint of inference. Therefore the need for their interpretation is obvious.To find it, we identify any possibility distribution with a set of probability distributions dominated by it and find a probability interpretation of models based on Gödel’s, product and Lukasiewicz’s t-norms.
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