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.
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页码：261 / 276
页数：15
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