National Repository of Grey Literature 3 records found  Search took 0.00 seconds. 
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.
O neplatnosti věty o silné standardní úplnosti logiky PiMTL
Horčík, Rostislav
It is well-known that Hájek s basic fuzzy logic (BL), Lukasiewicz logic, and product logic are not strongly standard complete. On the other hand Esteva and Godo s monoidal t-norm logic (MTL) and its involutive extension IMTL are strongly standard complete. In this paper we show that PiMTL (an extension of MTL by the axioms characteristic of product logic) does not enjoy the strong standard completeness theorem like BL, Lukasiewicz, and product logic.

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