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Interval-Valued Neutrosophic Ideals of Hilbert Algebras

The concept of interval-valued neutrosophic sets (IVNSs) was first introduced by Wang et al. (Wang, H.; Smarandache, F.; Zhang, Y. Q.; Sunderraman, R. Interval neutrosophic sets and logic: Theory and applications in computing. Hexis, Phoenix, Ariz, USA, 2005.). In this paper, the concept of IVNSs to ideals of Hilbert algebras is introduced. The homomorphic inverse image of interval-valued neutrosophic ideals (IVN ideals) in Hilbert algebras is also studied and some related properties are investigated.

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Inverse Dominating Set in Neutrosophic Graphs

In this paper, the concept of inverse domination in neutrosophic graph is established. The definition of inverse domination number, inverse dominating set, inverse split and non split dominating sets in neutrosophic graph are developed with suitable examples here. Also, the theorems in inverse domination in neutrosophic graph and the bound on inverse domination number in neutrosophic graph are derived.  

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M. Mullai mail -
S. Broumi mail -
P.K.Santhi mail
link https://doi.org/10.54216/IJNS.180309

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

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Equitable Domination in Neutrosophic Graphs

This paper shows the equitable domination in neutrosophic graphs. In this proposed work, equitable neigh-bourhood 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 numeri-cal examples.

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M.M ullai mail -
S. Broumi mail -
Florentin Smarandache mail -
P.K.Santhi mail
link https://doi.org/10.54216/JNFS.020205

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

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The Regulation and Influence of Physical Exercise on Human Body's Neutrosophic Set, Respiratory System and Nervous System

The goal of this paper studying the influence of physical exercise (PE) on the human body. Physical exercise plays a vital role in the nervous system and respiratory due it has significant importance. The PE present a benefit in all functions in the body human. But if PE is not regular, it presents a high risk in humans, and humans are not safe when practices it. The impact of PE has many criteria and sub-criteria, which is complex and conflict criteria. So, the multi-criteria decision-making method is present for overcoming this problem. This problem contains incomplete and vague information. So, the neutrosophic sets are used for overcoming uncertainty. The Decision-making trial and evaluation laboratory (DEMATEL) method is a powerful tool for the present the importance and influence criteria on others. So DEMATEL integrated with neutrosophic sets for analyzing and influence regular PE in body human-like nervous systems. An illustrative example was conducted to show the outcome of this method.   

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Abedallah Zaid Abualkishik mail -
Sundus Naji AL-Aziz mail
link https://doi.org/10.54216/IJNS.1803010

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

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Hybridization of Neutrosophic Logic with Quasi-Oppositional Chimp Optimization based Data Classification Model

Data classification is the procedure of investigating structured or unstructured data and forming it into distinct classes depending upon file types, size, etc. It assist the organizations to derive important solutions based on the data and helps decision making process. The computational intelligence techniques such as neural computing, fuzzy logic, machine learning, etc. can be used to design effective data classification models. This study offers a Hybridization of Neutrosophic Logic with Quasi-Oppositional Chimp Optimization based Data Classification (HNLQOCO) model. The presented HNLQOCO algorithm aims to integrate the concepts of NL and QOCO algorithm for improved data classification outcomes. Besides, the QOCO algorithm is designed by incorporating the concepts of quasi oppositional based learning (QOBL) with traditional chimp optimization algorithm (COA). Here, the NL is applied to represent various kinds of knowledge and the QOCO algorithm is applied to tune the produced NS rules. The experimental result analysis of the HNLQOCO model is tested using three benchmark medical dataset. The obtained results reported the significant performance of the HNLQOCO model over the other methods.

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Sundus Naji AL-Aziz mail -
Reem Atassi mail -
Abd Al-Aziz Hosni El-Bagoury mail
link https://doi.org/10.54216/IJNS.1803011

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

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Driver Drowsiness Detection in Real-time

In modern life, drowsiness is one of the major causes of road accidents, many of which are fatal. Analyzing statistics, it can be assumed that most road accidents occur as a result of drowsiness leading to serious injury and death. For this reason, various studies have been done on designing programs that can detect driver fatigue and alert them before a serious error occurs. This prevents them from falling asleep and having an accident. Some of the most common methods use automotive-based methods to design their own system. But these traditional measures were strongly influenced by other factors such as road structure, vehicle type and driver-wheel driveability. Some methods use psychological methods of their system that often provide the most accurate and consistent results in the driver's drowsiness monitoring. However, such techniques are very tedious as the electrodes need to be placed on the head and body. In addition, few studies are available where independent measurements are used as system installation, but such methods can confuse the driver and lead to unintended consequences. In this paper, we have proposed a non-disruptive and real-time program. Our proposed system classifies it as sleep deprivation. The model is fed with a large database of closed eyes and open eyes to produce results. The driver is notified by Buzz every time he is found drowsy. In our model, we use a standard forward-looking smartphone camera and use the information we have gained to produce results on our website. This can be more economical than using additional hardware.

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Daksh Khetan mail -
Arun Nawani mail -
Anshul Aggarwal mail -
Ms. Surinder Kaur mail
link https://doi.org/10.54216/FPA.070203

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

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NeutroAlgebra of Substructures of the Semigroups built using Zn and Z+

For the first-time authors study the NeutroAlgebraic structures of the substructures of the semigroups, { , ×}, { , ×} and { , +} where  = {1, 2, …, ¥}. The three substructures of the semigroup studied in the context of NeutroAlgebra are subsemigroups, ideals and groups. The substructure group has meaning only if the semigroup under consideration is a Smarandache semigroup. Further in this paper, all semigroups are only commutative. It is proved the NeutroAlgebraic structure of ideals (and subsemigroups) of a semigroup can be AntiAlgebra or NeutroAlgebra in the case of infinite semigroups built on  or  =   È {0}. However, in the case of S = { , ×}; n a composite number, S is always a Smarandache semigroup. The substructures of them are completely analyzed. Further groups of Smarandache semigroups can only be a NeutroAlgebra and never an AntiAlgebra. Open problems are proposed in the final section for researchers interested in this field of study.

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Vasantha Kandasamy mail -
Ilanthenral Kandasamy mail -
Florentin Smarandache mail
link https://doi.org/10.54216/IJNS.1803012

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

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NeutroAlgebra of Substructures of the Semigroups built using Zn and Z+

For the first-time authors study the NeutroAlgebraic structures of the substructures of the semigroups, {Zn , ×}, {Z+ , ×} and {Z+ , +} where Z+ = {1, 2, …, inf}. The three substructures of the semigroup studied in the context of NeutroAlgebra are subsemigroups, ideals and groups. The substructure group has meaning only if the semigroup under consideration is a Smarandache semigroup. Further in this paper, all semigroups are only commutative. It is proved the NeutroAlgebraic structure of ideals (and subsemigroups) of a semigroup can be AntiAlgebra or NeutroAlgebra in the case of infinite semigroups built on Z+ or Z* = Z+ U {0}. However, in the case of S = {Zn , ×}; n a composite number, S is always a Smarandache semigroup. The substructures of them are completely analyzed. Further groups of Smarandache semigroups can only be a NeutroAlgebra and never an AntiAlgebra. Open problems are proposed in the final section for researchers interested in this field of study.

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NeutroAlgebra of Substructures of the Semigroups built using Zn and Z+

For the first-time authors study the NeutroAlgebraic structures of the substructures of the semigroups, {Zn , ×}, {Z+ , ×} and {Z+ , +} where Z+ = {1, 2, …, inf}. The three substructures of the semigroup studied in the context of NeutroAlgebra are subsemigroups, ideals and groups. The substructure group has meaning only if the semigroup under consideration is a Smarandache semigroup. Further in this paper, all semigroups are only commutative. It is proved the NeutroAlgebraic structure of ideals (and subsemigroups) of a semigroup can be AntiAlgebra or NeutroAlgebra in the case of infinite semigroups built on Z+ or Z* = Z+ U {0}. However, in the case of S = {Zn , ×}; n a composite number, S is always a Smarandache semigroup. The substructures of them are completely analyzed. Further groups of Smarandache semigroups can only be a NeutroAlgebra and never an AntiAlgebra. Open problems are proposed in the final section for researchers interested in this field of study.

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Neutrosophical dynamic programming

The great development that science has witnessed in all fields has reduced the risks and losses resulting from undertaking any business or projects. Since the emergence of the science of operations research, many life issues have been addressed by relying on it, and by using its methods, we have been able to establish projects and businesses and use the available capabilities in an ideal manner. Which achieved great success in all areas and reduced the losses of all kinds, whether material or human, that we were exposed to because of carrying out these works or projects without prior study. We are now able to model, analyze and solve a wide range of problems that can be broken down into a set of partial problems using dynamic programming. Programming that is used to find the optimal solution in a multi-step situation that involves a set of related decisions. In this research, we study one of the operations research problems that are solved using dynamic programming. It is the problem of creating an expressway between two cities, using the neutrosophic logic. The logic that takes into account all the specific and non-specific data and takes into account all the circumstances that can face us during the implementation of the project. The goal  of studying this issue is to determine the optimal total cost, which is related to the partial costs presented by the study prepared for this project. In order to avoid losses we will take the partial costs neutrosophic values of the form  , where  represents the minimum partial cost in stage  and  represents the upper limit of the partial cost in stage  . Through the indeterminacy offered by neutrosophic logic, we are able to find the ideal solution that will bring us the lowest possible cost for constructing this expressway. It takes into account all the circumstances that may encounter us in our study, and we will present an applied example that illustrates the study.

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Maissam Jdid mail -
Rafif Alhabib mail
link https://doi.org/10.54216/IJNS.1803013

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

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