New Results on Neutrosophic Extended Triplet Groups Equipped with a Partial Order
Title | New Results on Neutrosophic Extended Triplet Groups Equipped with a Partial Order PDF eBook |
Author | Xin Zhou |
Publisher | Infinite Study |
Pages | 13 |
Release | |
Genre | Mathematics |
ISBN |
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.
NeutroAlgebra of Neutrosophic Triplets
Title | NeutroAlgebra of Neutrosophic Triplets PDF eBook |
Author | Vasantha Kandasamy |
Publisher | Infinite Study |
Pages | 15 |
Release | 2020-12-01 |
Genre | Mathematics |
ISBN |
In this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.
New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations
Title | New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 411 |
Release | 2022-09-01 |
Genre | Mathematics |
ISBN |
This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.
Generalized Neutrosophic Extended Triplet Group
Title | Generalized Neutrosophic Extended Triplet Group PDF eBook |
Author | Yingcang Ma |
Publisher | Infinite Study |
Pages | 16 |
Release | |
Genre | Mathematics |
ISBN |
Neutrosophic extended triplet group is a new algebra structure and is different from the classical group. In this paper, the notion of generalized neutrosophic extended triplet group is proposed and some properties are discussed.
Generalized Neutrosophic Extended Triplet Group
Title | Generalized Neutrosophic Extended Triplet Group PDF eBook |
Author | Yingcang Ma |
Publisher | Infinite Study |
Pages | 16 |
Release | |
Genre | Mathematics |
ISBN |
Neutrosophic extended triplet group is a new algebra structure and is different from the classical group. In this paper, the notion of generalized neutrosophic extended triplet group is proposed and some properties are discussed.
Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers
Title | Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers PDF eBook |
Author | Qiaoyan Li |
Publisher | Infinite Study |
Pages | 15 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we explore the algebra structure based on neutrosophic quadruple numbers. Moreover, two kinds of degradation algebra systems of neutrosophic quadruple numbers are introduced. In particular, the following results are strictly proved: (1) the set of neutrosophic quadruple numbers with a multiplication operation is a neutrosophic extended triplet group; (2) the neutral element of each neutrosophic quadruple number is unique and there are only sixteen different neutral elements in all of neutrosophic quadruple numbers; (3) the set which has same neutral element is closed with respect to the multiplication operator; (4) the union of the set which has same neutral element is a partition of four-dimensional space.
ON NEUTROSOPHIC EXTENDED TRIPLET GROUP ACTION
Title | ON NEUTROSOPHIC EXTENDED TRIPLET GROUP ACTION PDF eBook |
Author | Moges Mekonnen Shalla |
Publisher | Infinite Study |
Pages | 76 |
Release | |
Genre | Mathematics |
ISBN |
This thesis discusses neutrosophic extended triplet (NET) direct product, semi-direct product and NET group actions. The aim is to give a clear introduction that provides a solid foundation for further studies into the subject. We introduce NET internal and external direct and semi-direct products for NET group by utilizing the notion of NET set theory of Smarandache. We also give examples and discuss their difference with the classical one.