Operator-dependent Modifiers in Nilpotent Logical Systems
József Dániel Dombi, Orsolya Csiszár · 2018
The purpose of the current study is to consider the main unary operators of a nilpotent logical system in an integral framework and to reveal the underlying general structure of all the previously examined operators in nilpotent logical systems.The unary operators are obtained by repeating the argument in multivariable operators.This enables us to provide a widely applicable system, where all the operators are connected to each other, and where the modalities and hedges are operator-dependent.It becomes possible to describe all the operators by using a generator function and a few parameters.The possibility, necessity and sharpness operators are thoroughly examined and it is also shown how the multivariable operators can be derived from the unary ones.