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Interval neutrosophic sets and topology.

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dc.contributor.authorGallego Lupiáñez, Francisco
dc.date.accessioned2023-06-20T09:34:25Z
dc.date.available2023-06-20T09:34:25Z
dc.date.issued2009
dc.description.abstractPurpose - In 2005, Smarandache generalized the Atanassov's intuitionistic fuzzy sets (IFSs) to neutrosophic sets (NS), and other researchers introduced the notion of interval neutrosophic set (INSs), which is an instance of NS, and studied various properties. The notion of neutrosophic topology on the non-standard interval is also due to Smarandache. The purpose of this paper is to study relations between INSs and topology. Design/methodology/approach - The paper investigates the possible relations between INSs and topology. Findings - Relations on INSs and neutrosophic topology. Research limitations/implications - Clearly, the paper is confined to IFSs and NSs. Practical implications - The main applications are in the mathematical field. Originality/value - The paper shows original results on fuzzy sets and topology.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15275
dc.identifier.doi10.1108/03684920910944849
dc.identifier.issn0368-492X
dc.identifier.officialurlhttp://fs.gallup.unm.edu/INeutrosophicSet-Topology.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49938
dc.issue.number3/4
dc.journal.titleKybernetes
dc.page.final624
dc.page.initial621
dc.publisherEmerald Group Publishing Limited
dc.rights.accessRightsmetadata only access
dc.subject.cdu519.7-76
dc.subject.cdu510.64
dc.subject.cdu515.1
dc.subject.keywordCybernetics
dc.subject.keywordFuzzy logic
dc.subject.keywordSet theory
dc.subject.keywordTopology
dc.subject.ucmLógica simbólica y matemática (Matemáticas)
dc.subject.ucmCibernética matemática
dc.subject.ucmTopología
dc.subject.unesco1102.14 Lógica Simbólica
dc.subject.unesco1207.03 Cibernética
dc.subject.unesco1210 Topología
dc.titleInterval neutrosophic sets and topology.
dc.typejournal article
dc.volume.number38
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