dc.contributor.author | İnce, Mehmet Akif | |
dc.contributor.author | Karacal, Funda | |
dc.date.accessioned | 2020-12-19T19:40:36Z | |
dc.date.available | 2020-12-19T19:40:36Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | İnce, M.A. & Karacal, F. (2019). t-closure Operators. International Journal of General Systems, 48(2), 139-156. https://doi.org/10.1080/03081079.2018.1549041 | en_US |
dc.identifier.issn | 0308-1079 | |
dc.identifier.issn | 1563-5104 | |
dc.identifier.uri | https://doi.org/10.1080/03081079.2018.1549041 | |
dc.identifier.uri | https://hdl.handle.net/11436/1592 | |
dc.description | INCE, MEHMET AKIF/0000-0002-8146-5509 | en_US |
dc.description | WOS: 000453637700003 | en_US |
dc.description.abstract | In this study, based on the knowledge of the existence of t-norms on an arbitrary given bounded lattice, we introduce t-closure operators with the help of a t-norm on the lattice and a subset of the lattice including the top element. We define two equivalence relations by using t-closure operators. the first one is on the set of all t-norms on a bounded lattice. An important class is obtained according to this relation. We define a partially order on the set of all equivalent relations given as secondly. Further, we define a set, denoted by , and by using this set, we investigate under which conditions L can be embedded into . We obtain a topology by using t-closure operators and examine some properties of this topology. Lastly, we generalize partial order. | en_US |
dc.description.sponsorship | Recep Tayyip Erdogan UniversityRecep Tayyip Erdogan University [FBA-2016-603] | en_US |
dc.description.sponsorship | The first author was supported by grants from the research fund of Recep Tayyip Erdogan University, project number: FBA-2016-603. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Taylor & Francis Ltd | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Closure operator | en_US |
dc.subject | Triangular norm | en_US |
dc.subject | Bounded lattice | en_US |
dc.title | t-closure operators | 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 | 10.1080/03081079.2018.1549041 | |
dc.identifier.volume | 48 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.startpage | 139 | en_US |
dc.identifier.endpage | 156 | en_US |
dc.relation.journal | International Journal of General Systems | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |