On Single-Valued Neutrosophic Ideals in Sostak Sense

被引：20

作者：

Saber, Yaser ^{[1
,2
]}

Alsharari, Fahad ^{[1
]}

Smarandache, Florentin ^{[3
]}

机构：

[1] Majmaah Univ, Dept Math, Coll Sci & Human Studies, Majmaah 11952, Saudi Arabia

[2] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt

[3] Univ New Mexico, Dept Math, Gallup, NM 87301 USA

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 02期

关键词：

single-valued neutrosophic closure; single-valued neutrosophic ideal; single-valued neutrosophic ideal open local function; single-valued neutrosophic ideal closure; single-valued neutrosophic ideal interior; single-valued neutrosophic ideal open compatible; FUZZY TOPOLOGICAL-SPACES; COMPACTNESS; SUBSPACES; GRADATION; AXIOMS;

D O I：

10.3390/sym12020193

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Neutrosophy is a recent section of philosophy. It was initiated in 1980 by Smarandache. It was presented as the study of origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. In this paper, we introduce the notion of single-valued neutrosophic ideals sets in Sostak's sense, which is considered as a generalization of fuzzy ideals in Sostak's sense and intuitionistic fuzzy ideals. The concept of single-valued neutrosophic ideal open local function is also introduced for a single-valued neutrosophic topological space. The basic structure, especially a basis for such generated single-valued neutrosophic topologies and several relations between different single-valued neutrosophic ideals and single-valued neutrosophic topologies, are also studied here. Finally, for the purpose of symmetry, we also define the so-called single-valued neutrosophic relations.

引用

页数：21

共 54 条

[1]

[Anonymous], UNIFYING FIELD LOGIC

[2] INTUITIONISTIC FUZZY-SETS [J].