| dc.contributor.author | İnce, Mehmet Akif | |
| dc.contributor.author | Karaçal, Funda | |
| dc.contributor.author | Mesiar, Radko | |
| dc.date.accessioned | 2020-12-19T19:55:32Z | |
| dc.date.available | 2020-12-19T19:55:32Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Ince, M.A., Karacal, F. & Mesiar, R. (2016). Medians and nullnorms on bounded lattices. Fuzzy Sets and Systems, 289, 74-81. https://doi.org/10.1016/j.fss.2015.05.015 | en_US |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.issn | 1872-6801 | |
| dc.identifier.uri | https://doi.org/10.1016/j.fss.2015.05.015 | |
| dc.identifier.uri | https://hdl.handle.net/11436/2534 | |
| dc.description | INCE, MEHMET AKIF/0000-0002-8146-5509 | en_US |
| dc.description | WOS: 000368997800006 | en_US |
| dc.description.abstract | Nullnorms are generalizations of triangular norms and triangular conorms with a zero element in the interior of the unit interval. in this paper, we work on nullnorms which are defined on an arbitrary bounded lattice. We introduce a general median-based method for constructing nullnorms by means of triangular norms and triangular conorms. Furthermore, we highlight a significant difference between the (existence and representation of) (idempotent) nullnorms on chains, distributive bounded lattices and general bounded lattices. (C) 2015 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | Research Fund of Karadeniz Technical University [12802]; Research and Development for Innovations Operational Programme - Structural Funds of Europe Union [CZ.1.05/1.1.00/02.0070]; state budget of the Czech Republic [CZ.1.05/1.1.00/02.0070]; [VEGA 1/0420/15] | en_US |
| dc.description.sponsorship | The work on this paper was supported by the Research Fund of Karadeniz Technical University (Project no. 12802) and grant VEGA 1/0420/15. A significant part of the work of the third author has been done also in connection with project IT4Innovations Centre of Excellence, reg. no. CZ.1.05/1.1.00/02.0070 supported by Research and Development for Innovations Operational Programme financed by Structural Funds of Europe Union and from the means of state budget of the Czech Republic. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Nullnorm | en_US |
| dc.subject | Median | en_US |
| dc.subject | Idempotent nullnorm | en_US |
| dc.subject | Distributive bounded lattice | en_US |
| dc.subject | Triangular norm | en_US |
| dc.subject | Triangular conorm | en_US |
| dc.title | Medians and nullnorms on bounded lattices | en_US |
| dc.type | article | en_US |
| dc.contributor.department | RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.contributor.institutionauthor | İnce, Mehmet Akif | |
| dc.identifier.doi | 10.1016/j.fss.2015.05.015 | |
| dc.identifier.volume | 289 | en_US |
| dc.identifier.startpage | 74 | en_US |
| dc.identifier.endpage | 81 | en_US |
| dc.relation.journal | Fuzzy Sets and Systems | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
