Pythagorean Neutrosophic Triplet Groups

被引：0

作者：

Khan M. ^{[1
]}

Zeeshan M. ^{[2
]}

Anis S. ^{[1
]}

Smrandache F. ^{[3
]}

机构：

[1] Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus

[2] Department of Mathematics, COMSATS University Islamabad, Islamabad Campus

[3] Department of Mathematics and Sciences, University of New Mexico, 705 Gurley Ave., Gallup, 87301, NM

来源：

Neutrosophic Sets and Systems | 2024年 / 67卷

关键词：

Neutrosophic triplet; Neutrosophic triplet group; Pythagorean neutrosophic triplet; Pythagorean neutrosophic triplet group;

D O I：

10.5281/zenodo.11206321

中图分类号：

学科分类号：

摘要：

It is a well-known fact that groups are the only algebraic structures having a single binary operation that is mathematically so perfect that it is impossible to introduce a richer structure within it. The main purpose of this study is to introduce the notion of the Pythagorean neutrosophic triplet (PNT) which is the generalization of neutrosophic triplet (NT). The PNT is an algebraic structure of three ordered pairs that satisfy several properties under the binary operation (B-Operation) “*”. Furthermore, we used the PNTs to introduce the novel concept of a Pythagorean neutrosophic triplet group (PNTG). The algebraic structure (AS) of PNTG is different from the neutrosophic triplet group (NTG). We discussed some properties, related results, and particular examples of these novel concepts. We further studied Pythagorean neutro-homomorphism, Pythagorean neutro-isomorphism, etc., for PNTGs. Moreover, we discussed the main distinctions between the neutrosophic triplet group (NTG) and the PNTG. © (2024), (Neutrosophic Sets and Systems). All rights reserved.

引用

下载

页码：261 / 276

页数：15

共 50 条

[11] New Results on Neutrosophic Extended Triplet Groups Equipped with a Partial Order
Zhou, Xin
Li, Ping
Smarandache, Florentin
Khalil, Ahmed Mostafa
SYMMETRY-BASEL, 2019, 11 (12):
[12] Neutrosophic triplet group
Florentin Smarandache
Mumtaz Ali
Neural Computing and Applications, 2018, 29 : 595 - 601
[13] Neutrosophic triplet group
Smarandache, Florentin
Ali, Mumtaz
NEURAL COMPUTING & APPLICATIONS, 2018, 29 (07): : 595 - 601
[14] Neutrosophic Pythagorean Soft Set With T and F as Dependent Neutrosophic Components
Radha R.
Stanis Arul Mary A.
Neutrosophic Sets and Systems, 2021, 42 : 65 - 78
[15] On Neutrosophic Triplet Groups: Basic Properties, NT-Subgroups, and Some Notes
Zhang, Xiaohong
Hu, Qingqing
Smarandache, Florentin
An, Xiaogang
SYMMETRY-BASEL, 2018, 10 (07):
[16] Left (Right)-Quasi Neutrosophic Triplet Loops (Groups) and Generalized BE-Algebras
Zhang, Xiaohong
Wu, Xiaoying
Smarandache, Florentin
Hu, Minghao
SYMMETRY-BASEL, 2018, 10 (07):
[17] Pentapartitioned Neutrosophic Pythagorean Resolvable and Irresolvable Spaces
Radha, R.
Mary, A. Stanis Arul
Broumi, Said
Neutrosophic Sets and Systems, 2021, 46 : 219 - 228
[18] Regularity of Pythagorean neutrosophic graphs with an illustration in MCDM
Ajay, D.
Chellamani, P.
Rajchakit, G.
Boonsatit, N.
Hammachukiattikul, P.
AIMS MATHEMATICS, 2022, 7 (05): : 9424 - 9442
[19] Pentapartitioned Neutrosophic Pythagorean Strongly Irresolvable Spaces
Radha, R.
Mary, A. Stanis Arul
Broumi, Said
Neutrosophic Sets and Systems, 2022, 49 : 389 - 396
[20] Correlation Measure for Pythagorean Neutrosophic Sets with T and F as Dependent Neutrosophic Components
Jansi R.
Mohana K.
Smarandache F.
Neutrosophic Sets and Systems, 2019, 30 : 202 - 212

← 1 2 3 4 5 →