Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 30, Issue 2, Pages 1045-1056Publisher
IOS PRESS
DOI: 10.3233/IFS-151827
Keywords
Single valued neutrosophic sets; single valued neutrosophic relations; kernels; closures; single valued neutrosophic relation mappings; inverse single valued neutrosophic relation mappings
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Funding
- National Natural Science Foundation of China [61473181, 11526163, 61472471]
- China Postdoctoral Science Foundation [2013M532063]
- Shaanxi Province Postdoctoral Science Foundation
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Smarandache initiated neutrosophic sets (NSs) which can be used as a mathematical tool for dealing with indeterminate and inconsistent information. In order to apply NSs conveniently, single valued neutrosophic sets (SVNSs) were proposed by Wang et al. In this paper, we propose single valued neutrosophic relations (SVNRs) and study their properties. The notions of anti-reflexive kernel, symmetric kernel, reflexive closure, and symmetric closure of a SVNR are introduced, respectively. Their accurate calculate formulas and some properties are explored. Some examples are also given. Finally, single valued neutrosophic relation mappings and inverse single valued neutrosophic relation mappings are introduced, and some interesting properties are also obtained.
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