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Journal of Neutrosophic and Fuzzy Systems | 2021

Neutro-Intelligent Set is a particular case of the Refined Neutrosophic Set

In this short note we show that the newly introduced concept of Neutro-Intelligent Set (NIS) deserves attention in its applications to the human brain activity, and that NIS is a particular case of the Refined Neutrosophic Set.

groups
Florentin Smarandache mail -
Said Broumi mail
link https://doi.org/10.54216/JNFS.010103

Volume & Issue

Vol. Volume 1 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science |

Equitable Domination in Neutrosophic Graphs

This paper shows the equitable domination in neutrosophic graphs. In this proposed work, equitable neighbourhood of a vertex and equitabe degree are defined. Minimal neutrosophic dominating sets, minimal and maximal equitable independent sets,strong and weak equitable dominating sets in neutrosophic graphs are likewise settled. A few hypotheses on equitable domination in neutrosophic graphs are inferred with numerical example.

groups
MullaiMurugappan mail
link

Volume & Issue

Details open_in_new
International Journal of Neutrosophic Science |

Equitable Domination in Neutrosophic Graphs

This paper shows the equitable domination in neutrosophic graphs. In this proposed work, equitable neighbourhood of a vertex and equitabe degree are defined. Minimal neutrosophic dominating sets, minimal and maximal equitable independent sets,strong and weak equitable dominating sets in neutrosophic graphs are likewise settled. A few hypotheses on equitable domination in neutrosophic graphs are inferred with numerical example.

groups
MullaiMurugappan mail
link

Volume & Issue

Details open_in_new
International Journal of Neutrosophic Science |

Equitable Domination in Neutrosophic Graphs

This paper shows the equitable domination in neutrosophic graphs. In this proposed work, equitable neighbourhood of a vertex and equitabe degree are defined. Minimal neutrosophic dominating sets, minimal and maximal equitable independent sets,strong and weak equitable dominating sets in neutrosophic graphs are likewise settled. A few hypotheses on equitable domination in neutrosophic graphs are inferred with

groups
MullaiMurugappan mail
link

Volume & Issue

Details open_in_new
International Journal of Neutrosophic Science | 2021

Multicriteria Decision-Making Applications Based on Generalized Hamming Measure for Law

Jurisprudential decisions always reflect confidence in the law. The more wrong a judge's decision is, the greater the reaction will be. This is something we all know. But today, the reactions to the decisions of the judges are increasing in a negative way. Because, making so many conscientious decisions or transferring cases to higher courts have widely increased. This means that people's objections to the decisions increase. To avoid such problems in judges' decisions, an algorithm is introduced in this article. The mentioned algorithm shows every decision given by judges as generalized set-valued neutrosophic quadruples and calculates its similarity to the ideal decision by Hamming similarity measure on generalized set-valued neutrosophic quadruples. The algorithm is introduced in such a way that it decides whether the decision to be made in each case is similar to the decision made by the judge or not. This allows us to see how correct the judges’ decisions are. The closer the algorithm result is to 1, the more accurate the decision. You can judge decisions according to this accuracy value and it is aimed to reduce the problems such as objections to the decisions.

groups
Necmiye Merve Sahin mail -
Azize Dayan mail
link https://doi.org/10.54216/IJNS.170101

Volume & Issue

Vol. Volume 17 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2021

On Some Properties of Interior, Closure, Boundary and Exterior of Neutrosophic Multi Topological Space

This paper introduced the concept of neutrosophic multi topological space. The definitions of the interior, closure, exterior, and boundary of neutrosophic multiset is defined and also, its propositions will be studied with examples. 

groups
Bhimraj Basumatary mail -
Nijwm Wary mail -
Said Broumi mail
link https://doi.org/10.54216/IJNS.170102

Volume & Issue

Vol. Volume 17 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2021

Multi-criteria Decision-making Applications Based on Set Valued Generalized Neutrosophic Quadruple Sets for Law

In this article, an algorithm has been introduced that enables judges to see the decisions that should be made in a way that is closest to the conscience and the law, without transferring the cases to the higher authorities, without anyone objecting to their decisions. This algorithm has been introduced depending on the generalized set-valued neutrosophic quadruple numbers and the Euclidean similarity measure in sets, what the decision is made by considering all the situations, regardless of which case the defendants come before the judge, how similar these decisions are to the legal decisions that should be made. In this way, we can easily see the decisions given to the accused in all kinds of cases, and we can arrange the decisions according to the similarity value. The closer the similarity value is to 1, the more correct the judge's decision from a legal point of view.

groups
Necmiye Merve Sahin mail -
Merve Sena Uz mail
link https://doi.org/10.54216/IJNS.170103

Volume & Issue

Vol. Volume 17 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2021

Neutrosophic Bi-topological Group

Neutrosophic topological groups are neutrosophic groups in an algebraic sense together with neutrosophic continuous group operations. In this article, we have presented neutrosophic bi-topological groups with illustrative examples. We have also defined eight new models of neutrosophic bi-topological groups. Neutrosophic bi-topological group that depends on two neutrosophic topologies group is more general than the neutrosophic topological group. Finally, Some basic properties of neutrosophic bi-topological groups were studied.

groups
Riad K. Al-Hamido mail
link https://doi.org/10.54216/IJNS.170104

Volume & Issue

Vol. Volume 17 / Iss. Issue 1

Details open_in_new