Refined neutrosophic quadruple (po-)hypergroups and their fundamental group
Refined neutrosophic quadruple (po-)hypergroups and their fundamental group

Author: M. Al-Tahan

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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After introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done. On the other hand, the theory of Neutrosophy, the study of neutralities, was developed in 1995 by F. Smarandache as an extension of dialectics. This paper aims at finding a connection between refined neutrosophy of sets and hypergroups. In this regard, we define refined neutrosophic quadruple hypergroups, study their properties, and find their fundamental refined neutrosophic quadruple groups. Moreover, some results related to refined neutrosophic quadruple po-hypergroups are obtained.

Neutrosophic Sets and Systems, Vol. 27, 2019
Neutrosophic Sets and Systems, Vol. 27, 2019

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 252

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. Some articles from this issue: BMBJ-neutrosophic ideals in BCK/BCI-algebras, Neutrosophic General Finite Automata, Generalized Neutrosophic Exponential map, Implementation of Neutrosophic Function Memberships Using MATLAB Program.

Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019
Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 252

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.

On Some Properties of Neutrosophic Quadruple Hv-Rings
On Some Properties of Neutrosophic Quadruple Hv-Rings

Author: Madeleine Al-Tahan

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 15

ISBN-13:

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Hyperstructure theory, an 86 years old theory, has been of great interest for many algebraists where their researches were divided in to two categories: theory and applications. On the other hand, neutrosophic theory which is the study of neutralities, was introduced and developed by F. Smarandache in 1995 as an extension of dialectics. The purpose of this paper is to study some connections between the two theories: Neutrosophy and hyperstructures. In this regard, we define neutrosophic quadruple Hv-rings, neutrosophic quadruple Hv-subrings, and neutrosophic quadruple homomorphism and study their various properties.

International Journal of Neutrosophic Science (IJNS) Volume 3, 2020
International Journal of Neutrosophic Science (IJNS) Volume 3, 2020

Author: Broumi Said

Publisher: Infinite Study

Published:

Total Pages: 117

ISBN-13:

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International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.

Neutrosophic Sets and Systems, Vol. 39, 2021
Neutrosophic Sets and Systems, Vol. 39, 2021

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 173

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.

Neutrosophic Sets and Systems, Vol. 36, 2020
Neutrosophic Sets and Systems, Vol. 36, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 410

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. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.

Neutrosophic Sets and Systems, Vol. 37, 2020. Special issue: Impact of neutrosophy in solving the Latin American's social problems
Neutrosophic Sets and Systems, Vol. 37, 2020. Special issue: Impact of neutrosophy in solving the Latin American's social problems

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 438

ISBN-13:

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The main objective of this special issue is to divulge the applicability of the Neutrosophic Theory and to explore the possibilities and advantages of neutrosophic tools, through both the presentation of thorough research and case studies in solving social problems in Latin America. The best presentations discussed at the III International Congress of Educational Research and University Innovation, turned into papers, show us the capacity for socialization of neutrosophic knowledge and its link with this science of validation and consolidation of scientific knowledge. This publication with authors from 11 countries that we place in the hands of the international scientific community, constitutes an example of how in Latin America the Neutrosophy is contributing to complex solutions based on the results of scientific research carried out by teachers and students committed to the social responsibility of continuing to progress for the benefit of humanity.

Introduction to Neutrosophic Hypernear-rings
Introduction to Neutrosophic Hypernear-rings

Author: M.A. Ibrahim

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

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This paper is concerned with the introduction of neutrosophic hypernear-rings. The concept of neutrosophic A-hypergroup of a hypernear-ring A; neutrosophic A(I)-hypergroup of a neutrosophic hypernear-ring A(I) and their respective neutrosophic substructures are defined. We investigate and present some interesting results arising from the study of hypernear-rings in neutrosophic environment. It is shown that a constant neutrosophic hypernear-ring in general is not a constant hypernear-ring. In addition, we consider the neutrosophic ideals, neutrosophic homomorphism and neutrosophic quotient hypernear-rings of neutrosophic hypernear-rings.

Refined neutrosophic quadruple (po-)hypergroups and their fundamental group
Refined neutrosophic quadruple (po-)hypergroups and their fundamental group

Author: M. Al-Tahan

Publisher: Infinite Study

Published:

Total Pages: 17

ISBN-13:

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After introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done. On the other hand, the theory of Neutrosophy, the study of neutralities, was developed in 1995 by F. Smarandache as an extension of dialectics. This paper aims at finding a connection between refined neutrosophy of sets and hypergroups. In this regard, we define refined neutrosophic quadruple hypergroups, study their properties, and find their fundamental refined neutrosophic quadruple