| dc.contributor.author | Nowak, Marek | |
| dc.date.accessioned | 2017-05-16T10:01:03Z | |
| dc.date.available | 2017-05-16T10:01:03Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0138-0680 | |
| dc.identifier.uri | http://hdl.handle.net/11089/21624 | |
| dc.description.abstract | The paper deals with a generalization of the notion of partition for wider classes of binary relations than equivalences: for quasiorders and tolerance relations. The counterpart of partition for the quasiorders is based on a generalization of the notion of equivalence class while it is shown that such a generalization does not work in case of tolerances. Some results from [5] are proved in a much more simple way. The third kind of “partition” corresponding to tolerances, not occurring in [5], is introduced. | en_GB |
| dc.language.iso | en | en_GB |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | en_GB |
| dc.relation.ispartofseries | Bulletin of the Section of Logic;2 | |
| dc.subject | partition | en_GB |
| dc.subject | quasiorder | en_GB |
| dc.subject | tolerance relation | en_GB |
| dc.title | Quasiorders, Tolerance Relations and Corresponding “Partitions” | en_GB |
| dc.type | Article | en_GB |
| dc.rights.holder | © Copyright by Authors, Łódź 2016; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2016 | en_GB |
| dc.page.number | [65]-78 | |
| dc.contributor.authorAffiliation | University of Łódź, Department of Logic | |
| dc.identifier.eissn | 2449-836X | |
| dc.references | I. Chajda, J. Niederle, B. Zelinka, On existence conditions for compatible tolerances, Czechoslovak Math. J. 26 (1976), pp. 304–311. | en_GB |
| dc.references | G. Czédli, Factor lattices by tolerances, Acta Scientiarum Mathematicarum 44 (1982), pp. 35–42. | en_GB |
| dc.references | S. N. Gerasin, V. V. Shlyakhov, S. V. Yakovlev, Set coverings and tolerance relations, Cybernetics and System Analysis 44 (2008), pp. 333–340. | en_GB |
| dc.references | A. I. Krivoruchko, Tolerance classes, Cybernetics and System Analysis 20 (1984), pp. 6–11. | en_GB |
| dc.references | M. Nowak, On some generalization of the concept of partition, Studia Logica 102 (2014), pp. 93–116. | en_GB |
| dc.references | J. Pogonowski, Tolerance spaces with application to linguistics, Adam Mickiewicz University Press, Poznań, 1981. | en_GB |
| dc.references | E. C. Zeeman, The Topology of the Brain and Visual Perception, [in:] M. K. Fort (ed.), The Topology of 3-Manifolds and Related Topics, 1962, pp. 240–256. | en_GB |
| dc.references | B. Zelinka, A remark on systems of maximal cliques of a graph, Czechoslovak Math. J. 27 (1977), pp. 617–618. | en_GB |
| dc.contributor.authorEmail | marnowak@filozof.uni.lodz.pl | |
| dc.identifier.doi | 10.18778/0138-0680.45.2.01 | |
| dc.relation.volume | 45 | en_GB |
