Neutrosophic Triplet Cosets And Quotient Groups

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Neutrosophic Triplet Cosets And Quotient Groups

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Author : Mikail Bal
language : en
Publisher: Infinite Study
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Neutrosophic Triplet Cosets And Quotient Groups written by Mikail Bal and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In this paper, by utilizing the concept of a neutrosophic extended triplet (NET), we define the neutrosophic image, neutrosophic inverse-image, neutrosophic kernel, and the NET subgroup. The notion of the neutrosophic triplet coset and its relation with the classical coset are defined and the properties of the neutrosophic triplet cosets are given. Furthermore, the neutrosophic triplet normal subgroups, and neutrosophic triplet quotient groups are studied.

Neutrosophic Triplet Cosets And Quotient Groups

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Author : Mikail Bal
language : en
Publisher: Infinite Study
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Neutrosophic Triplet Cosets And Quotient Groups written by Mikail Bal and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In this paper, by utilizing the concept of a neutrosophic extended triplet (NET), we define the neutrosophic image, neutrosophic inverse-image, neutrosophic kernel, and the NET subgroup. The notion of the neutrosophic triplet coset and its relation with the classical coset are defined and the properties of the neutrosophic triplet cosets are given. Furthermore, the neutrosophic triplet normal subgroups, and neutrosophic triplet quotient groups are studied.

Neutrosophic Triplet Structures Volume I

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Neutrosophic Triplet Structures Volume I written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In this chapter, we introduce neutrosophic triplet cosets for neutrosophic triplet G-module and neutrosophic triplet quotient G-module. Then, we give some definitions and examples for neutrosophic triplet quotient G-module and neutrosophic triplet cosets. Also, we obtain isomorphism theorems for neutrosophic triplet G-modules and we prove isomorphism theorems for neutrosophic triplet G-modules.

Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets

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Author : Florentin Smarandache
language : en
Publisher: MDPI
Release Date : 2019-04-04

Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets written by Florentin Smarandache and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-04 with Mathematics categories.

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets Volume I

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
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Algebraic Structures Of Neutrosophic Triplets Neutrosophic Duplets Or Neutrosophic Multisets Volume I written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

Fundamental Homomorphism Theorems For Neutrosophic Extended Triplet Groups

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Author : Mehmet Çelik
language : en
Publisher: Infinite Study
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Fundamental Homomorphism Theorems For Neutrosophic Extended Triplet Groups written by Mehmet Çelik and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In classical group theory, homomorphism and isomorphism are significant to study the relation between two algebraic systems. Through this article, we propose neutro-homomorphism and neutro-isomorphism for the neutrosophic extended triplet group (NETG) which plays a significant role in the theory of neutrosophic triplet algebraic structures.

Generalized Neutrosophic Extended Triplet Group

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Author : Yingcang Ma
language : en
Publisher: Infinite Study
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Generalized Neutrosophic Extended Triplet Group written by Yingcang Ma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

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.

Left Right Quasi Neutrosophic Triplet Loops Groups And Generalized Be Algebras

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Author : Xiaohong Zhang
language : en
Publisher: Infinite Study
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Left Right Quasi Neutrosophic Triplet Loops Groups And Generalized Be Algebras written by Xiaohong Zhang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

The new notion of a neutrosophic triplet group (NTG) is proposed by Florentin Smarandache; it is a new algebraic structure different from the classical group.

Neutrosophic Extended Triplet Group Action And Burnside S Lemma

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Author : Moges Mekonnen Shalla
language : en
Publisher: Infinite Study
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Neutrosophic Extended Triplet Group Action And Burnside S Lemma written by Moges Mekonnen Shalla and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

The aim of this article is mainly to discuss the neutrosophic extended triplet (NET) group actions and Burnside’s lemma of NET group. We introduce NET orbits, stabilizers, conjugates and NET group action. Then, we give and proof the Orbit stabilizer formula for NET group by utilizing the notion of NET set theory. Moreover, some results related to NET group action, and Burnside’s lemma are obtained.

Direct And Semi Direct Product Of Neutrosophic Extended Triplet Group

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Author : Moges Mekonnen Shalla
language : en
Publisher: Infinite Study
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Direct And Semi Direct Product Of Neutrosophic Extended Triplet Group written by Moges Mekonnen Shalla and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

The object of this article is mainly to discuss the notion of neutrosophic extended triplet direct product (NETDP) and neutrosophic extended triplet semi-direct product (NETS-DP) of NET group. The purpose is to give a clear introduction that allows a solid foundation for additional studies into the field. We introduce neutrosophic extended triplet internal direct product (NETIDP) and neutrosophic extended triplet external direct products (NETEDP) of NET group. Then, we define NET internal and external semi-direct products for NET group by utilizing the notion of NET set theory of Smarandache. Moreover, some results related to NETDP and NETS-DPs are obtained.