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Posibilistické entropické funkce s hodnotami ve svazu
Kramosil, Ivan
Lattice-valued entropy functions defined by a lattice-valued possibilistic distribution Pi on a space Omega are defined as the expected value (in the sense of Sugeno integral) of the complement of the value Pi(omega) with omega ranging over the space Omega. The analysis is done, in parallel, for two alternative interpretations of the notion of complement in the complete lattice in question. Supposing that this complete lattice is completely distributive in the defined sense, the entropy value defined by possibilistically independent (noninteractive, in other terms) products of finite sequences of lattice-valued possibilistic distributions are proved to be defined by the supremum value of the entropies defined by particular distributions.

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