Linear Diophantine Fuzzy Rough Sets: A New Rough Set Approach with Decision Making
| dc.contributor.author | Ayub, Saba | |
| dc.contributor.author | Shabir, Muhammad | |
| dc.contributor.author | Riaz, Muhammad | |
| dc.contributor.author | Mahmood, Waqas | |
| dc.contributor.author | Bozanic, Darko | |
| dc.contributor.author | Marinkovic, Dragan | |
| dc.date.accessioned | 2022-04-14T10:54:42Z | |
| dc.date.available | 2022-04-14T10:54:42Z | |
| dc.date.issued | 2022-03-04 | |
| dc.date.updated | 2022-04-08T09:41:12Z | |
| dc.description.abstract | In this article, a new hybrid model named linear Diophantine fuzzy rough set (LDFRS) is proposed to magnify the notion of rough set (RS) and linear Diophantine fuzzy set (LDFS). Concerning the proposed model of LDFRS, it is more efficient to discuss the fuzziness and roughness in terms of linear Diophantine fuzzy approximation spaces (LDFA spaces); it plays a vital role in information analysis, data analysis, and computational intelligence. The concept of (<p,p′>,<q,q′>)-indiscernibility of a linear Diophantine fuzzy relation (LDF relation) is used for the construction of an LDFRS. Certain properties of LDFA spaces are explored and related results are developed. Moreover, a decision-making technique is developed for modeling uncertainties in decision-making (DM) problems and a practical application of fuzziness and roughness of the proposed model is established for medical diagnosis. | en |
| dc.identifier.eissn | 2073-8994 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/16736 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-15514 | |
| dc.language.iso | en | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject.ddc | 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten | de |
| dc.subject.other | linear Diophantine fuzzy sets | en |
| dc.subject.other | linear Diophantine fuzzy relations | en |
| dc.subject.other | level cut relations of linear Diophantine fuzzy relations | en |
| dc.subject.other | symmetry of optimal decision | en |
| dc.subject.other | rough approximations | en |
| dc.title | Linear Diophantine Fuzzy Rough Sets: A New Rough Set Approach with Decision Making | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.articlenumber | 525 | en |
| dcterms.bibliographicCitation.doi | 10.3390/sym14030525 | en |
| dcterms.bibliographicCitation.issue | 3 | en |
| dcterms.bibliographicCitation.journaltitle | Symmetry | en |
| dcterms.bibliographicCitation.originalpublishername | MDPI | en |
| dcterms.bibliographicCitation.originalpublisherplace | Basel | en |
| dcterms.bibliographicCitation.volume | 14 | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 5 Verkehrs- und Maschinensysteme::Inst. Mechanik::FG Strukturmechanik und Strukturberechnung | de |
| tub.affiliation.faculty | Fak. 5 Verkehrs- und Maschinensysteme | de |
| tub.affiliation.group | FG Strukturmechanik und Strukturberechnung | de |
| tub.affiliation.institute | Inst. Mechanik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |