On single valued neutrosophic relations

被引：74

作者：

Yang, Hai-Long ^{[1
,2
,3
]}

Guo, Zhi-Lian ^{[4
]}

She, Yanhong ^{[5
]}

Liao, Xiuwu ^{[3
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China

[2] Univ Regina, Dept Comp Sci, Regina, SK S4S 0A2, Canada

[3] Xi An Jiao Tong Univ, Sch Management, Xian 710049, Peoples R China

[4] Northwest Univ Polit Sci & Law, Coll Econ, Xian, Peoples R China

[5] Xian Shiyou Univ, Coll Sci, Xian, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 30卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Single valued neutrosophic sets; single valued neutrosophic relations; kernels; closures; single valued neutrosophic relation mappings; inverse single valued neutrosophic relation mappings;

D O I：

10.3233/IFS-151827

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：1045 / 1056

页数：12

共 14 条

[1] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[2]

Chi P, 2013, NEUTROSOPHIC SETS SY, V1, P1, DOI DOI 10.5281/ZENODO.571231

[3]

Kelley J. L., 1955, General Topology, V1st

[4] On similarity and entropy of neutrosophic sets [J].

Majumdar, Pinaki ;

Samanta, Syamal Kumar .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (03) :1245-1252

[5] An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets [J].

Peng, Juan-juan ;

Wang, Jian-qiang ;

Zhang, Hong-yu ;

Chen, Xiao-hong .

APPLIED SOFT COMPUTING, 2014, 25 :336-346

[6] Neutrosophic logics: Prospects and problems [J].

Rivieccio, Umberto .

FUZZY SETS AND SYSTEMS, 2008, 159 (14) :1860-1868

[7] Subsethood measure for single valued neutrosophic sets [J].

Sahin, Ridvan ;

Kucuk, Ahmet .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (02) :525-530

[8]

Smarandache F., 1999, UNIFYING FIELD LOGIC, P1

[9]

Smarandache F, 1998, Neutrosophy: Neutrosophic probability, set, and logic: Analytic synthesis synthetic analysis

[10]

Wang H., 2010, Infinite study

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