| Title: |
On single valued neutrosophic relations. |
| Authors: |
Hai-Long Yang1,2,3 yanghailong@snnu.edu.cn, Zhi-Lian Guo4, Yanhong She5, Xiuwu Liao3 |
| Source: |
Journal of Intelligent & Fuzzy Systems. 2016, Vol. 30 Issue 2, p1045-1056. 12p. |
| Subject Terms: |
Neutrosophic logic, Smarandache function, Kernel functions, Mathematical mappings, Intuitionistic mathematics |
| Abstract: |
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. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal of Intelligent & Fuzzy Systems is the property of IOS Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Business Source Complete |
