Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/20605
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Edeghagba Elijah Eghosa | - |
dc.contributor.author | Šešelja Branimir | - |
dc.contributor.author | Tepavčević Andreja | - |
dc.date.accessioned | 2020-12-13T14:53:45Z | - |
dc.date.available | 2020-12-13T14:53:45Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 1542-3980 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/20605 | - |
dc.description.abstract | © 2019 Old City Publishing, Inc. In the framework of L-valued (fuzzy) sets, where L is a complete lattice, we introduce complete L-lattices, based on L-structures investigated by the authors. An L-poset is a set equipped with an L-valued equality E and an L-valued transitive relation R, which is antisymmetric with respect to E. A complete L-lattice is an L-poset in which every subset has a so called pseudo-supremum and a pseudo-infimum. Several properties concerning special elements of these L-structures are investigated. Among our main results, we prove that an L-poset is a complete L-lattice if and only if particular quotient substructures with respect to the L-valued equality are classical complete lattices. As another important result obtained by using closure systems, we present a Representation theorem dealing with a general construction of L-posets and Lcomplete lattices. | en |
dc.language.iso | en | - |
dc.relation.ispartof | Journal of Multiple Valued Logic and Soft Computing | en |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.title | Representation theory for complete L-lattices | en |
dc.type | Journal/Magazine Article | en |
dc.identifier.scopus | 85078119967 | - |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=115845&source=BEOPEN&language=en | en |
dc.relation.lastpage | 617 | - |
dc.relation.firstpage | 593 | - |
dc.relation.issue | 6 | - |
dc.relation.volume | 33 | - |
dc.identifier.externalcrisreference | (BISIS)115845 | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.orcid | 0000-0002-5716-604X | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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