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- Title
New Results on Neutrosophic Extended Triplet Groups Equipped with a Partial Order.
- Authors
Zhou, Xin; Li, Ping; Smarandache, Florentin; Khalil, Ahmed Mostafa
- Abstract
Neutrosophic extended triplet group (NETG) is a novel algebra structure and it is different from the classical group. The major concern of this paper is to present the concept of a partially ordered neutrosophic extended triplet group (po-NETG), which is a NETG equipped with a partial order that relates to its multiplicative operation, and consider properties and structure features of po-NETGs. Firstly, in a po-NETG, we propose the concepts of the positive cone and negative cone, and investigate the structure features of them. Secondly, we study the specificity of the positive cone in a partially ordered weak commutative neutrosophic extended triplet group (po-WCNETG). Finally, we introduce the concept of a po-NETG homomorphism between two po-NETGs, construct a po-NETG on a quotient set by providing a multiplication and a partial order, then we discuss some fundamental properties of them.
- Subjects
CONES; ALGEBRA; ORDER; HOMOMORPHISMS; MULTIPLICATION
- Publication
Symmetry (20738994), 2019, Vol 11, Issue 12, p1514
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym11121514