Neutrosophic Linear Diophantine Equations With Two Variables

Neutrosophic Linear Diophantine Equations With Two Variables

Author: Hasan Sankari

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 10

ISBN-13:

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This paper is devoted to study for the first time the neutrosophic linear Diophantine equations with two variables in the neutrosophic ring of integers, and refined neutrosophic ring of integers. This work introduces an algorithm to solve the linear Diophantine equation.


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 Study of Systems of Neutrosophic Linear Equations

A Study of Systems of Neutrosophic Linear Equations

Author: Maissam Jdid

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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Operations research methods are among the modern scientific methods that have occupied a prominent place among the mathematical methods used in planning and managing various economic and military activities. They have been able to help specialists in developing ideal plans in terms of costs, production, storage, or investment of human energies. One of its most important methods is the method Linear programming, which was built based on the sets of linear equations that represent the constraints for any linear model. Based on the methods for solving the systems of linear equations, researchers were able to prepare algorithms for solving linear models, such as the direct Simplex algorithm and its modifications. After the emergence of neutrosophic science, we found that research methods had to be reformulated. Operations using the concepts of this science, and as a basis and foundation for neutrosophic linear programming. In this research, we will reformulate the systems of linear equations and some methods for solving them using the concepts of neutrosophic to be a basis for any study presented in the field of neutrosophic linear programming.


Neutrosophic Sets and Systems, Vol. 40, 2021

Neutrosophic Sets and Systems, Vol. 40, 2021

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 279

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. 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.


On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations

On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations

Author: Mohammad Abobala

Publisher: Infinite Study

Published:

Total Pages: 7

ISBN-13:

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This paper studies the problem of determining invertible elements (units) in any n-refined neutrosophic ring. It presents the necessary and sufficient condition for any n-refined neutrosophic element to be invertible, idempotent, and nilpotent. Also, this work introduces some of the elementary algebraic properties of n-refined neutrosophic matrices with a direct application in solving n-refined neutrosophic algebraic equations.