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Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS)

Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS)
Author: Azeddine Elhassouny
Publisher: Infinite Study
Total Pages: 14
Release:
Genre: Mathematics
ISBN:

Download Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS) Book in PDF, ePub and Kindle

Technique for order performance by similarity to ideal solution (TOPSIS) is a Multi-Criteria Decision- Making method (MCDM), that consists on handling real complex problems of decision-making. However, real MCDM problems are often involves imperfect information such as uncertainty and inconsistency. The imperfect information is often manipulated through Neutrosophics theory, using certain degree of truth (T), falsity degree (F) and indeterminacy degree(I). and thus single-valued neutrosophic set (SVNs) had prodded a strong capacity to model such complex information. To overcome that kind of problems, In this paper, first, the authors simplify the popular TOPSIS method to a lite TOPSIS (S-TOPSIS), that gives the same result as standard version. Second, mapping STOPSIS to Neutrosophics Environment, investigating SVNS, called nS-TOPSIS, to deal with imperfect information in the real decision-making problems. Numerical examples show the contributions of proposed S-TOPSIS method to get the same results with standard TOPSIS with simple way of calculus, and how Neutrosophic environment manage the uncertain information using SVN.


Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS)

Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS)
Author: Azeddine Elhassouny
Publisher: Infinite Study
Total Pages: 14
Release:
Genre: Business & Economics
ISBN:

Download Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS) Book in PDF, ePub and Kindle

In this paper, first, the authors simplify the popular TOPSIS method to a lite TOPSIS (S-TOPSIS), that gives the same result as standard version. Second, mapping STOPSIS to Neutrosophics Environment, investigating SVNS, called nS-TOPSIS, to deal with imperfect information in the real decision-making problems. Numerical examples show the contributions of proposed S-TOPSIS method to get the same results with standard TOPSIS with simple way of calculus, and how Neutrosophic environment manage the uncertain information using SVN.


Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 154
Release:
Genre: Mathematics
ISBN: 1599735989

Download Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018 Book in PDF, ePub and Kindle

“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. 27, 2019

Neutrosophic Sets and Systems, Vol. 27, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 252
Release:
Genre: Mathematics
ISBN:

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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.


International Journal of Neutrosophic Science (IJNS) Volume 10, 2020

International Journal of Neutrosophic Science (IJNS) Volume 10, 2020
Author: Broumi Said
Publisher: Infinite Study
Total Pages: 126
Release:
Genre: Mathematics
ISBN:

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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.


TOPSIS by using Plithogenic Set in COVID-19 Decision Making

TOPSIS by using Plithogenic Set in COVID-19 Decision Making
Author: C. Sankar
Publisher: Infinite Study
Total Pages: 11
Release: 2020-06-01
Genre: Mathematics
ISBN:

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COVID-19 is pandemic affecting most of the country globally. It is an infectious disease that is affecting most of the people and it is very difficult to diagnose and treat the diseased patient. Generally asymptotic patients recover without any treatment. Patients with other illness such as Hypertension, Heart and Lung problems, Diabetic patients require intense care and treatment. In such cases, a team of doctors work together. The combination of all the experts’ opinions is needed for efficient treatment. Often, the opinion of doctors depends on their experience and involves some differences. Further, the expert’s opinion is in linguistic terms. Plithogenic sets provide a mathematical tool for aggregation of the experts’ opinion expressed in linguistic terms. Thus, this work aims to employ plithogenic neutrosophic number to rank the diseased patients affected with COVID-19. Hence, we propose an Order Preference Technique by Similarity to Ideal Solutions (TOPSIS) using Plithogenic sets.


Neutrosophic Sets and Systems, Vol. 28, 2019

Neutrosophic Sets and Systems, Vol. 28, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 304
Release:
Genre: Mathematics
ISBN:

Download Neutrosophic Sets and Systems, Vol. 28, 2019 Book in PDF, ePub and Kindle

“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: Reduction of indeterminacy of gray-scale image in bipolar neutrosophic domain, Single Valued Neutrosophic Coloring, An Integrated Neutrosophic and MOORA for Selecting Machine Tool, Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique, Pi-Distance of Rough Neutrosophic Sets for Medical Diagnosis, Machine learning in Neutrosophic Environment: A Survey.


Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019

Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 302
Release:
Genre: Mathematics
ISBN:

Download Neutrosophic Sets and Systems, Book Series, Vol. 28, 2019 Book in PDF, ePub and Kindle

“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, Book Series, Vol. 27, 2019

Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 252
Release:
Genre: Mathematics
ISBN:

Download Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019 Book in PDF, ePub and Kindle

“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.


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
Total Pages: 16
Release:
Genre: Mathematics
ISBN:

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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.