A novel method for solving the fully neutrosophic linear programming problems
A novel method for solving the fully neutrosophic linear programming problems

Author: Mohamed Abdel-Basset

Publisher: Infinite Study

Published: 2018-02-24

Total Pages: 12

ISBN-13:

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The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its simplicity and efficiency. However, in order to handle the impreciseness in the data, the neutrosophic set theory plays a vital role which makes a simulation of the decision-making process of humans by considering all aspects of decision (i.e., agree, not sure and disagree). By keeping the advantages of it, in the present work, we have introduced the neutrosophic LP models where their parameters are represented with a trapezoidal neutrosophic numbers and presented a technique for solving them. The presented approach has been illustrated with some numerical examples and shows their superiority with the state of the art by comparison. Finally, we conclude that proposed approach is simpler, efficient and capable of solving the LP models as compared to other methods.

A novel method for solving the fully neutrosophic linear programming problems
A novel method for solving the fully neutrosophic linear programming problems

Author: Mohamed Abdel-Basset

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its simplicity and efficiency. However, in order to handle the impreciseness in the data, the neutrosophic set theory plays a vital role which makes a simulation of the decision-making process of humans by considering all aspects of decision (i.e., agree, not sure and disagree). By keeping the advantages of it, in the present work, we have introduced the neutrosophic LP models where their parameters are represented with a trapezoidal neutrosophic numbers and presented a technique for solving them. The presented approach has been illustrated with some numerical examples and shows their superiority with the state of the art by comparison. Finally, we conclude that proposed approach is simpler, efficient and capable of solving the LP models as compared to other methods.

Solving fully neutrosophic linear programming problem with application to stock portfolio selection
Solving fully neutrosophic linear programming problem with application to stock portfolio selection

Author: Hamiden Abd El-Wahed Khalifa

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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Neutrosophic set is considered as a generalized of crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems. In this paper, a neutrosophic linear programming (NLP) problem with single-valued trapezoidal neutrosophic numbers is formulated and solved. A new method based on the so-called score function to find the neutrosophic optimal solution of fully neutrosophic linear programming (FNLP) problem is proposed.

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.

International Journal of Neutrosophic Science (IJNS) Volume 12, 2020
International Journal of Neutrosophic Science (IJNS) Volume 12, 2020

Author: Broumi Said

Publisher: Infinite Study

Published:

Total Pages: 118

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. Papers concern with 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 contributions to economics, finance, management, industries, electronics, and communications are promoted.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 20 / 2018
Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 20 / 2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2018

Total Pages: 133

ISBN-13: 1599735601

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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.

New Trends in Neutrosophic Theory and Applications, Volume II
New Trends in Neutrosophic Theory and Applications, Volume II

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 461

ISBN-13:

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Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after 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.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018
Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2018

Total Pages: 143

ISBN-13: 159973561X

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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 Graph Theory and Algorithms
Neutrosophic Graph Theory and Algorithms

Author: Smarandache, Florentin

Publisher: IGI Global

Published: 2019-10-25

Total Pages: 406

ISBN-13: 1799813150

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Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking. Neutrosophic Graph Theory and Algorithms is a collection of innovative research on the methods and applications of neutrosophic sets and logic within various fields including systems analysis, economics, and transportation. While highlighting topics including linear programming, decision-making methods, and homomorphism, this book is ideally designed for programmers, researchers, data scientists, mathematicians, designers, educators, researchers, academicians, and students seeking current research on the various methods and applications of graph theory.