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Freixas, Josep ; Freixas, Marc ; Kurz, Sascha:
Characterization of threshold functions : state of the art, some new contributions and open problems.
Bayreuth
,
2016
. - 23 S.
Volltext
Abstract
The study of the characterization of threshold functions within the class of switching functions is an important problem that goes back at least to the
mid--20th century. Due to different motivations switching and threshold functions have been investigated in a variety of different mathematical contexts:
Boolean or switching functions, neural networks, hypergraphs, coherent structures, Sperner families, clutters, secret sharing and simple games or binary voting systems.
The paper revises the state of the art about this significant problem and proposes some new contributions concerning asummability and invariant asummability, a
refinement of asummability. It also includes several questions and conjectures for future research whose solution would mean a new breakthrough.
Weitere Angaben
| Publikationsform: | Preprint, Postprint |
|---|---|
| Keywords: | switching functions; Boolean functions; linear separability problem; threshold functions; asummability conditions; simple games |
| Fachklassifikationen: | Mathematics Subject Classification Code: 06E30 91A12 (68T27 92B20 94C10) |
| Institutionen der Universität: | Fakultäten > Fakultät für Mathematik, Physik und Informatik Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Wirtschaftsmathematik Profilfelder > Emerging Fields > Governance and Responsibility Fakultäten Profilfelder Profilfelder > Emerging Fields |
| Titel an der UBT entstanden: | Ja |
| Themengebiete aus DDC: | 000 Informatik,Informationswissenschaft, allgemeine Werke > 004 Informatik 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Eingestellt am: | 05 Mär 2016 22:00 |
| Letzte Änderung: | 20 Mär 2017 10:04 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/31397 |
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