Operator-dependent Modifiers in Nilpotent Logical Systems

J. Dombi, O. Csiszár

2018

Abstract

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.

Paper Citation

in Harvard Style

Dombi J. and Csiszár O. (2018). Operator-dependent Modifiers in Nilpotent Logical Systems. In Proceedings of the 10th International Joint Conference on Computational Intelligence (IJCCI 2018) - Volume 1: IJCCI; ISBN 978-989-758-327-8, SciTePress, pages 126-134. DOI: 10.5220/0006894701260134

in Bibtex Style

@conference{ijcci18,
author={J. Dombi and O. Csiszár},
title={Operator-dependent Modifiers in Nilpotent Logical Systems},
booktitle={Proceedings of the 10th International Joint Conference on Computational Intelligence (IJCCI 2018) - Volume 1: IJCCI},
year={2018},
pages={126-134},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006894701260134},
isbn={978-989-758-327-8},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Joint Conference on Computational Intelligence (IJCCI 2018) - Volume 1: IJCCI
TI - Operator-dependent Modifiers in Nilpotent Logical Systems
SN - 978-989-758-327-8
AU - Dombi J.
AU - Csiszár O.
PY - 2018
SP - 126
EP - 134
DO - 10.5220/0006894701260134
PB - SciTePress