| Authors: | Horváth, Eszter K. Šešelja, Branimir Tepavčević, Andreja |
Title: | A note on lattice variant of thresholdness of boolean functions | Journal: | Miskolc Mathematical Notes | Volume: | 17 | Issue: | 1 | First page: | 293 | Last page: | 304 | Issue Date: | 1-Jan-2016 | Rank: | M23 | ISSN: | 1787-2405 | DOI: | 10.18514/MMN.2016.1485 | Abstract: | Lattice induced threshold function is a Boolean function determined by a particular linear combination of lattice elements. We prove that every isotone Boolean function is a lattice induced threshold function and vice versa. We give the generalization of this result to Boolean functions on a k-element set. |
Keywords: | Isotone Boolean functions | Lattice induced threshold functions | Publisher: | Miskolc University Press | Project: | NFSR of Hungary (OTKA), grant numbers K115518 and K83219 EuropeanSocialFund under the project “Telemedicine-focused research activities on the field of Mathematics, Informatics and Medical sciences” of project number “T´AMOP-4.2.2.A-11/1/KONV-2012-0073” Development of methods of computation and information processing: theory and applications Provincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina, grant "Ordered structures and applications" |
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