Authors: | Horváth, Eszter K. Šešelja, Branimir Tepavčević, Andreja |
Title: | Isotone lattice-valued Boolean functions and cuts | Journal: | Acta Scientiarum Mathematicarum | Volume: | 81 | Issue: | 3-4 | First page: | 375 | Last page: | 380 | Issue Date: | 1-Jan-2015 | ISSN: | 0001-6969 | DOI: | 10.14232/actasm-014-331-1 | Abstract: | For an integer n > 1, an n-ary lattice-valued Boolean function is a map from the n-th direct power of the 2-element Boolean lattice to a bounded lattice. In terms of closure systems and cuts, we characterize lattice-valued Boolean functions that can be given by linear combinations of elements of the co-domain lattice. |
Keywords: | Boolean function | Closure systems | Isotone | Lattice operations | Publisher: | Bolyai Institute, University of Szeged |
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