01224nab a2200217 i 4500 publ17653 20191217121636.0 191217s2015 hu o 0|| zxx d 0165-0114 10.1016/j.fss.2014.05.011 doi 2713156 mtmt SZTE Publicatio Repozitórium hun zxx Dombi József The general nilpotent operator system [elektronikus dokumentum] / Dombi József 2015 1-19 FUZZY SETS AND SYSTEMS 261 Abstract In this paper we show that a consistent logical system generated by nilpotent operators is not necessarily isomorphic to Łukasiewicz-logic, which means that nilpotent logical systems are wider than we have thought earlier. Using more than one generator functions we examine three naturally derived negations in these systems. It is shown that the coincidence of the three negations leads back to a system which is isomorphic to Łukasiewicz-logic. Consistent nilpotent logical structures with three different negations are also provided. Csiszár Orsolya aut http://publicatio.bibl.u-szeged.hu/17653/1/TheGenNilpot_rev2.pdf Dokumentum-elérés