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On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem

The objective of this paper is to study some novel algebraic properties of neutrosophic matrices. Also, this work introduces the concept of neutrosophic characteristic polynomial of a square neutrosophic matrix and the neutrosophic version of Cayley-Hamilton.On the other hand, we illustrate many examples about the validity of this work.

groups
Malath F. Alaswa mail
link https://doi.org/10.54216/IJNS.180305

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

Details open_in_new

Neutrosophic Two Way ANOVA

In this paper, well-known two way analysis of variance (Two Way ANOVA) is generalized to neutrosophic two way ANOVA dealing with neutrosophic data of the form N=D+I. Neutrosophic two way anova is a neutrosophic linear model test wheteher there is a significant difference between different treatments and whether there is a significant difference between different sectors keeping the type I error low. An algotithm is introduced to calculate fisher test statistics when we have neutrosophic data and we are testing two hypothesizes, first is to test differences between treatments and second is to test differences between sectors.

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Mahmoud Miari mail -
Mohamad Taher Anan mail -
Mohamed Bisher Zeina mail
link https://doi.org/10.54216/IJNS.180306

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

Details open_in_new

Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs

In this paper, the idea of neutrosophic detour boundary vertices and neutrosophic detour center vertices in neutrosophic graph is introduced.  Here the concept of neutrosophic detour eccentricity, neutrosophic detour radius, neutrosophic detour diameter, neutrosophic detour neighbourhood vertex are studied.  Several interesting properties related to of eccentric nodes, peripheral nodes, and central nodes in neutrosophic graphs are established.

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R. Narmada Devi mail -
G.Muthumari mail -
J. Bravelin Jersha mail
link https://doi.org/10.54216/IJNS.180307

Volume & Issue

Vol. Volume 18 / Iss. Issue 3

Details open_in_new

Trends in The Intake oF Food Groups Among Different Age Groups

Although there has been a vast increase in nutritional knowledge, a healthy dietary pattern is still established due to a lack of knowledge, availability, and accessibility. Even if vegetables are consumed higher percentage of starchy vegetables is consumed hence a balanced and adequate diet is still not followed. This research collected data from different cities of Pakistan via a questionnaire which was filled both face to face as well as online. The sample size was 60 with 10 people from each group. Data was collected majorly in form of a food frequency questionnaire and then percentages and frequencies were calculated for all food groups. In age groups 3-12 years there was a higher consumption of beverages both hot and sweet and nuts and seeds were consumed in higher amounts. On the other hand, the age group 13-18 consumed more fruits and vegetables. Similarly, when moving to age 19-25 and 26-40 there is a higher consumption of milk and milk products. Cereals are consumed most by adults of age 41-60 years and 60+ leaned more towards sweets and snacks. Women tend to consume a more calorie-dense diet than men. Also, children and older adults rely more on sweets and snacks rather than fruits, vegetables, and other nutrient-dense foods.

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Irsa Sajjad mail -
Wareesha Khan mail -
Raja Habib mail
link https://doi.org/10.54216/AJBOR.060204

Volume & Issue

Vol. Volume 6 / Iss. Issue 2

Details open_in_new

Some remarks on ∆^m (I_λ )-summability on neutrosophic normed spaces

In present paper we use the difference operator ∆^m and λ-summability to define the new concepts of ∆^m (λ)-convergence and ∆^m (I_λ)-convergence on neutrosophic normed spaces (briefly known as NNS). We also introduce concepts of ∆^m (I_λ)-limit point, ∆^m (I_λ)-cluster point and obtain some relationships among these notions. Finally, we define ∆^m (λ)-Cauchy, 〖∆^m (I〗_λ)-Cauchy sequences on these spaces and present a characterization for ∆^m (I_λ)-convergence preserving linear operators on neutrosophic normed spaces

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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

Details open_in_new

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

Details open_in_new

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

Details open_in_new

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

Details open_in_new