Investigation of a neutrosophic group

被引:2
|
作者
Elrawy, A. [1 ]
Smarandache, Florentin [2 ]
Temraz, Ayat A. [1 ]
机构
[1] SVU, Dept Math, Fac Sci, Qena 83523, Egypt
[2] Univ New Mexico, Gallup, NM USA
关键词
Neutrosophic set; invariant sub-groups; normal sub-group;
D O I
10.3233/JIFS-232941
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We use a neutrosophic set, instead of an intuitionistic fuzzy because the neutrosophic set is more general, and it allows for independent and partial independent components mu(X),gamma(X),zeta(X), while in an intuitionistic fuzzy set, all components are totally dependent. In this article, we present and demonstrate the concept of neutrosophic invariant subgroups. We delve into the exploration of this notion to establish and study the neutrosophic quotient group. Further, we give the concept of a neutrosophic normal subgroup as a novel concept.
引用
收藏
页码:2273 / 2280
页数:8
相关论文
共 50 条
  • [31] Group decision based on trapezoidal neutrosophic Dombi fuzzy hybrid operator
    Fahmi, Aliya
    GRANULAR COMPUTING, 2022, 7 (02) : 305 - 314
  • [32] Characterizations of Group Theory under Q-Neutrosophic Soft Environment
    Abu Qamar, Majdoleen
    Hassan, Nasruddin
    NEUTROSOPHIC SETS AND SYSTEMS, 2019, 27 : 114 - 130
  • [33] Group decision making with simplified neutrosophic ordered weighted distance operator
    Sahin, Ridvan
    Kucuk, Gokce Dilek
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (12) : 4795 - 4809
  • [34] Group decision making using neutrosophic soft matrix: An algorithmic approach
    Das, Sujit
    Kumar, Saurabh
    Kar, Samarjit
    Pal, Tandra
    JOURNAL OF KING SAUD UNIVERSITY-COMPUTER AND INFORMATION SCIENCES, 2019, 31 (04) : 459 - 468
  • [35] COMMUTATIVE NEUTROSOPHIC TRIPLET GROUP AND NEUTRO-HOMOMORPHISM BASIC THEOREM
    Zhang, Xiaohong
    Smarandache, Florentin
    Ali, Mumtaz
    Liang, Xingliang
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (40): : 353 - 375
  • [36] Neutrosophic Triplets in Neutrosophic Rings
    Kandasamy, Vasantha W. B.
    Kandasamy, Ilanthenral
    Smarandache, Florentin
    MATHEMATICS, 2019, 7 (06)
  • [37] Group decision based on trapezoidal neutrosophic Dombi fuzzy hybrid operator
    Aliya Fahmi
    Granular Computing, 2022, 7 : 305 - 314
  • [38] Direct and Semi-Direct Product of Neutrosophic Extended Triplet Group
    Shalla, Moges Mekonnen
    Olgun, Necati
    NEUTROSOPHIC SETS AND SYSTEMS, 2019, 29 : 197 - 214
  • [39] Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets
    Smarandache, Florentin
    Zhang, Xiaohong
    Ali, Mumtaz
    SYMMETRY-BASEL, 2019, 11 (02):
  • [40] Group decision-making strategy based on aggregation operators of linguistic confidence interval neutrosophic numbers in a linguistic neutrosophic multivalued scenario
    Ye, Jun
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2025, 141