A Contribution to Neutrosophic Groups

A Contribution to Neutrosophic Groups

Author: Mohammad Abobala

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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The objective of this paper is to define some new substructures (AH-substructures) in a neutrosophic group. Also, it deals with some elementary properties of AH-subgroups, AH-normality, AH-homomorphisms, AH-quotients and AH-direct products.


n-Refined Neutrosophic Groups I

n-Refined Neutrosophic Groups I

Author: Mohammad Abobala

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

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The aim of this paper is to define for the first time the concept of n-refined neutrosophic group. This work is devoted to study some elementary properties of n-refined neutrosophic groups and to establish the algebraic basis of this structure such as n-refined neutrosophic subgroups, n-refined neutrosophic homomorphisms, and n-refined neutrosophic isomorphisms.


Neutrosophic Sets and Systems, Vol. 38, 2020

Neutrosophic Sets and Systems, Vol. 38, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 662

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.


A Classical Group of Neutrosophic Triplet Groups

A Classical Group of Neutrosophic Triplet Groups

Author: Vasantha KandasamyW.B.

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

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Fuzzy set theory was introduced by Zadeh and was generalized to the Intuitionistic Fuzzy Set (IFS) by Atanassov. Real-world, uncertain, incomplete, indeterminate, and inconsistent data were presented philosophically as a neutrosophic set by Smarandache, who also studied the notion of neutralities that exist in all problems.


Neutrosophic Algebraic Structures and Their Applications

Neutrosophic Algebraic Structures and Their Applications

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2022-08-01

Total Pages: 269

ISBN-13:

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Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.


A Hybrid Neutrosophic Group ANP-TOPSIS Framework for Supplier Selection Problems

A Hybrid Neutrosophic Group ANP-TOPSIS Framework for Supplier Selection Problems

Author: Mohamed Abdel-Basset

Publisher: Infinite Study

Published:

Total Pages: 21

ISBN-13:

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One of the most significant competitive strategies for organizations is sustainable supply chain management (SSCM). The vital part in the administration of a sustainable supply chain is the sustainable supplier selection, which is a multi-criteria decision-making issue, including many conflicting criteria.


Investigation of a neutrosophic group

Investigation of a neutrosophic group

Author: A. Elrawy

Publisher: Infinite Study

Published: 2009-01-01

Total Pages: 11

ISBN-13:

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We use a neutrosophic set, instead of an intuitionistic fuzzy because the neutrosophic set is more general, and it allows for independent and partial independent components, while in an intuitionistic fuzzy set, all components are totally dependent. In this article, we present and demonstrate the concept of neutrosophic invariant subgroups. We delve into the exploration of this notion to establish and study the neutrosophic quotient group. Further, we give the concept of a neutrosophic normal subgroup as a novel concept.