New Operations of Totally Dependent-Neutrosophic Sets and Totally Dependent-Neutrosophic Soft Sets
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhang, Xiaohong | - |
dc.contributor.author | Bo, Chunxin | - |
dc.contributor.author | Smarandache, Florentin | - |
dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-07-11T17:21:23Z | - |
dc.date.available | 2022-07-11T17:21:23Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2018-06 | - |
dc.identifier.issn | 2073-8994 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149932 | - |
dc.description.abstract | The purpose of the paper is to study new algebraic operations and fundamental properties of totally dependent-neutrosophic sets and totally dependent-neutrosophic soft sets. First, the in-coordination relationships among the original inclusion relations of totally dependent-neutrosophic sets (called type-1 and typ-2 inclusion relations in this paper) and union (intersection) operations are analyzed, and then type-3 inclusion relation of totally dependent-neutrosophic sets and corresponding type-3 union, type-3 intersection, and complement operations are introduced. Second, the following theorem is proved: all totally dependent-neutrosophic sets (based on a certain universe) determined a generalized De Morgan algebra with respect to type-3 union, type-3 intersection, and complement operations. Third, the relationships among the type-3 order relation, score function, and accuracy function of totally dependent-neutrosophic sets are discussed. Finally, some new operations and properties of totally dependent-neutrosophic soft sets are investigated, and another generalized De Morgan algebra induced by totally dependent-neutrosophic soft sets is obtained. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | MDPI | - |
dc.title | New Operations of Totally Dependent-Neutrosophic Sets and Totally Dependent-Neutrosophic Soft Sets | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.3390/sym10060187 | - |
dc.identifier.scopusid | 2-s2.0-85048872351 | - |
dc.identifier.wosid | 000436283000007 | - |
dc.identifier.bibliographicCitation | SYMMETRY-BASEL, v.10, no.6, pp.1 - 17 | - |
dc.relation.isPartOf | SYMMETRY-BASEL | - |
dc.citation.title | SYMMETRY-BASEL | - |
dc.citation.volume | 10 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 17 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Science & Technology - Other Topics | - |
dc.relation.journalWebOfScienceCategory | Multidisciplinary Sciences | - |
dc.subject.keywordPlus | SIMILARITY | - |
dc.subject.keywordAuthor | neutrosophic set | - |
dc.subject.keywordAuthor | soft set | - |
dc.subject.keywordAuthor | totally dependent-neutrosophic set | - |
dc.subject.keywordAuthor | totally dependent-neutrosophic soft set | - |
dc.subject.keywordAuthor | generalized De Morgan algebra | - |
dc.identifier.url | https://www.mdpi.com/2073-8994/10/6/187 | - |
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