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Fuzzy teorie tříd: některá pokročilá témata
Cintula, Petr ; Horčík, Rostislav
The goal of this paper is to push forward the development of the apparatus of the Fuzzy Class theory. We concentrate on three areas: strengthening the universal quantifier, formalizing the idea that `similar' fuzzy sets fulfill their properties to `similar' degrees, and embedding of classical crisp theories into Fuzzy Class theory.
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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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Ordinální příeměry
Kolesárová, A. ; Mayor, G. ; Mesiar, Radko
The aim of the paper is the discussion of some types and classes of means on ordinal scales, especially kernel and shift invariant ordinal means, weighted ordinal means based on weighted divisible t-conorms (t-norms). Moreover, several types of ordinal arithmetic means are introduced.
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Kompenzační vágnost
Mareš, Milan
The addition and substraction of fuzzy data enormously cummulate the uncertainty of the final resuts. This fact and several methods how to avoid it are discussed in this paper.
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