at Google ScholarTitle data
Freixas, Josep ; Freixas, Marc ; Kurz, Sascha:
Characterization of threshold functions : state of the art, some new contributions and open problems.
Bayreuth
,
2016
. - 23 p.
Abstract in another language
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.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | switching functions; Boolean functions; linear separability problem; threshold functions; asummability conditions; simple games |
| Subject classification: | Mathematics Subject Classification Code: 06E30 91A12 (68T27 92B20 94C10) |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Profile Fields > Emerging Fields > Governance and Responsibility Faculties Profile Fields Profile Fields > Emerging Fields |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Date Deposited: | 05 Mar 2016 22:00 |
| Last Modified: | 20 Mar 2017 10:04 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/31397 |
Available Versions of this Item
- Characterization of threshold functions : state of the art, some new contributions and open problems. (deposited 05 Mar 2016 22:00) [Currently Displayed]