Authors:
J. Dombi
1
and
O. Csiszár
2
Affiliations:
1
University of Szeged, Institute of Informatics, Szeged and Hungary
;
2
Hochschule Esslingen, University of Applied Sciences, Faculty of Basic Sciences, Esslingen, Germany, Óbuda University, Institute of Applied Mathematics, Budapest and Hungary
Keyword(s):
Linguistic Modifier, Modality, Hedge, Unary Operator, Nilpotent Logic, Bounded System, Possibility, Necessity, Sharpness.
Related
Ontology
Subjects/Areas/Topics:
Approximate Reasoning and Fuzzy Inference
;
Artificial Intelligence
;
Computational Intelligence
;
Fuzzy Systems
;
Soft Computing
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.