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https://open.uns.ac.rs/handle/123456789/699| Title: | Generalized boolean algebras and applications | Authors: | Bleblou O. Šešelja B. Tepavčević, Andreja |
Issue Date: | 1-Jan-2019 | Journal: | Studies in Computational Intelligence | Abstract: | © Springer Nature Switzerland AG 2019. A new notion of a lattice valued Boolean algebra is introduced. It is based on an algebra with two binary, a unary and two nullary operations, which is not a crisp Boolean algebra in general. The classical equality is replaced by a lattice valued equivalence so that the Boolean algebra identities are correspondingly satisfied. Main properties of the new introduced notion are proved, and a connection with the notion of a generalized lattice valued lattice is provided. As an application, the paper contains basic structures for developing generalized Boolean functions. | URI: | https://open.uns.ac.rs/handle/123456789/699 | ISSN: | 1860949X | DOI: | 10.1007/978-3-030-00485-9_16 |
| Appears in Collections: | PMF Publikacije/Publications |
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