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On Neutrosophic of BE-Algebra

The BE-Algebra was presented by Kim in 2007. After that, several authors studied this type of logic concept in algebra. In this paper, we introduce more properties and remarks of BE-Algebra. Note that (A,*,1) is called BE-algebra if   ∀ a ∈A, b, c ∈A: collect a*a=1, a*1=1, 1*a=a and a*(b*c)=b*(a*c). In addition, a Neutrosophic BE-filter FI subset of the Neutrosophic BE-algebra is Neutrosophic BE-algebra AI is Neutrosophic BE-subalgebra AI.  Some new results and the criterion to determine some properties of BE-algebra and several relationships with another algebra namely Hibert algebras (H-algebra).

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Marrwa A. Salih mail -
Dunia A. Jarwan mail -
Majid M. Abed mail
link https://doi.org/10.54216/IJNS.250218

Volume & Issue

Vol. Volume 25 / Iss. Issue 2

Details open_in_new

Homomorphism of complex neutrosophic set extended to cubic Q neutrosophic set concept via subbisemiring of bisemirings

We introduce the concept of complex cubic Q neutrosophic subbisemiring (CCQNSBS) is a new extension of cubic Q neutrosophic subbisemiring. We examine the characteristics and homomorphic features of CCQNSBS. We communicate the CCQNSBS level sets for bisemirings. A cubic complex Q neutrosophic subset G if and only if each non-empty level set R is a ComCQNSBS of S. We show that the intersection of all CCQNSBSs yields a CCQNSBS ofS. If S1, S2, …,Sn be the finite collection of CCQNSBSs of respectively. Then S1* S2* …* Sn is a CCQNSBS of S1* S2* …* Sn. If F : S1 --- S2 is a homomorphism, then F is a subbisemiring of CCQNSBS  of S2. Examples are provided to show how our findings are used.

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Aiyared Iampan mail -
Murugan Palanikumar mail
link https://doi.org/10.54216/IJNS.250219

Volume & Issue

Vol. Volume 25 / Iss. Issue 2

Details open_in_new

RETRACTED ARTICLE: Characterization of bipolar neutrosophic sets to novel concept of complex Q bipolar neutrosophic sets using bisemirings

The notion of the complex Q bipolar neutrosophic subbisemiring (CQBNSBS) is a fundamental notion to be considered for tackling tricky and intricate information. Here, in this study, we want to expand the notion of CQBNSBS by giving a general algebraic structure for tackling bipolar complex fuzzy (BCF) data by fusing the conception of CQBNSBS and subbisemiring. Keeping in view the importance of fuzzy algebraic structures, in this manuscript, we develop the concept of CQBNSBS. We analyze the important properties and homomorphic aspects of CQBNSBS. For bisemirings, we propose the CQBNSBS level sets. We also develop the notions of homomorphic images of all CQBNSBSs is also CQBNSBS and homomorphic pre-images of all CQBNSBSs is also CQBNSBS. Examples are provided to demonstrate our findings.

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R. Balaji mail -
Murugan Palanikumar mail -
Aiyared Iampan mail
link https://doi.org/10.54216/IJNS.250220

Volume & Issue

Vol. Volume 25 / Iss. Issue 2

Details open_in_new

A note on Category of SuperHyper BCI-Algebra

In this paper, we have put forward the SH-homo and 0−preserving SH-homo to compare two SH groupoids along with few examples. Some properties of SH-homo and 0−preserving SH-homo are explored. Also, we proved the SH-homo between two SuperHyper BCI-Algebra is 0−preserving SH-homo. Finally, the category of SuperHyper Groupoid, SuperHyper BCI-Algebra and Neutrosophic SuperHyper BCI-Algebra were investigated.

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Santhakumar .S mail -
Sumathi .I .R mail -
Mahalakshmi .J mail
link https://doi.org/10.54216/IJNS.250221

Volume & Issue

Vol. Volume 25 / Iss. Issue 2

Details open_in_new

Proposing a Mobile Application for Educational Institutions' Support during Epidemic Crises

This study proposes an intelligent system designed to detect and manage epidemic outbreaks within institutional settings by leveraging a fusion of advanced AI technologies. The system operates through five key stages: symptom-based diagnostic testing, AI-powered cough detection, analysis of X-ray and CT scan images using Convolutional Neural Networks (CNN), evaluation of vital signs, and the geolocation of COVID-19 patients using GPS. Cough detection is enhanced by integrating Short-Time Fourier Transform (STFT) and Mel-Frequency Cepstral Coefficients (MFCC). Trained on an extensive dataset comprising over 5,856 CT scans, 7135 X-ray images, and over 30,000 crowdsourced cough recordings, the system demonstrates a high accuracy rate of 95% in identifying potential epidemic cases. This fusion of techniques offers a robust solution for early detection and rapid intervention, significantly mitigating the risk of widespread transmission within high-density environments.

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Esraa M El-mohdy mail -
A. F. Elgamal mail -
W. K. Elsaid mail
link https://doi.org/10.54216/FPA.170118

Volume & Issue

Vol. Volume 17 / Iss. Issue 1

Details open_in_new

Comprehensive Analysis of Internet Security Protocols and Standards for Enhanced Network Safety

This research examines all internet security protocols. To develop and test a novel network protection method. The research's comprehensive methodology includes a detailed review of existing security measures, a critical investigation of the recommended method's components, and a vital analysis of its effectiveness. AES is critical to the recommended code efficiency technique. The ablation investigation highlights AES's importance for fast encryption. Multi-factor authentication (MFA) protects and boosts authentication scores, making login simpler. The article defines "fast intrusion reaction time" and provides examples of how quickly the proposed technique may handle security incidents. The ablation research highlights the impact on this swift response, underscoring the importance of proactive intrusion detection and response. The study's findings will help firms secure their websites. The recommended solution is superior to others and protects against emerging internet dangers. The report recommends quick response systems, multi-layered identities, and security upgrades. This research teaches us online safety principles. It also provides a standard for network protection firms. Many studies have proved that the recommended strategy works, making it a significant aspect of current defensive efforts to address global concerns.

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Sunil Kr Pandey mail -
Prashant Kumar Shukla mail -
Piyush Kumar Pareek mail -
Cosmena Mahapatra mail -
Puneet Kumar Aggarwal mail -
Udit Mamodiya mail
link https://doi.org/10.54216/JCIM.150126

Volume & Issue

Vol. Volume 15 / Iss. Issue 1

Details open_in_new

Binomial-Based Attribute Sampling: Formulating Multiple-Dependent State Plans Based On The Extended Odd Exponential Distribution For Truncated Life Tests

This paper develops a Multiple Dependent State Sampling Plan (MDSSP) based on the Extended Odd Exponential Generalized Exponential (EOEGE– E) distribution for truncated life tests. The proposed methodology determines the optimal sampling plan by minimizing the required sample size while satisfying predetermined producer’s and consumer’s risk requirements. An optimization algorithm is developed to obtain the optimal plan parameters for different combinations of the termination ratio, quality ratio, and consumer’s risk. A comprehensive numerical study is conducted to investigate the effects of the design parameters on the optimal sampling plans and their operating characteristics. The results show that the proposed methodology produces feasible and stable sampling plans over a wide range of design set- tings. In general, the required sample size decreases as the quality ratio and termination ratio increase, whereas more stringent consumer protection re- quires larger sample sizes. The proposed methodology is illustrated using a real COVID–19 mortality dataset. The EOEGE–E distribution is first fit- ted to the data using the maximum likelihood method, and goodness-of-fit analyses confirm its suitability for modeling the observed lifetime data. The fitted distribution is then employed to construct the proposed MDSSP. Comparative studies demonstrate that the proposed sampling plan consistently re- quires fewer inspected units than both the conventional Single Sampling Plan (SSP) and the Weibull-based MDSSP while maintaining the prescribed pro- ducer’s and consumer’s risk requirements. The proposed MDSSP provides an efficient and economical inspection procedure for truncated life testing and represents a practical alternative for reliability analysis and industrial quality control.

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Rehab Alsultan mail
link https://doi.org/10.54216/IJNS.270244

Volume & Issue

Vol. Volume 27 / Iss. Issue 2

Details open_in_new

AI-Enabled Digital Twins for Water and Power Critical Infrastructure: A Cross-Sector Review of Deployment Maturity, Cascading Risk, and Trustworthy AI

AI-enabled digital twins are moving from simulation-oriented representations toward operational decision systems for critical infrastructure, but deployment evidence remains uneven and highly sector dependent. This review synthesizes AI-enabled digital twins in water and power infrastructure using a structured narrative evidence base of 36 primary application studies, balanced between 18 water and 18 power studies, together with recent reviews, interdependency research, and governance standards. The review compares application domains, data environments, AI roles, synchronization demands, validation settings, and decision authority across both sectors. Three analytical contributions extend beyond application cataloguing: a six-level deployment-maturity model with observable criteria; a coupled water–power framework for physical, cyber/data, spatial, and organizational cascading risk; and a trustworthy-AI pathway linking explainability, uncertainty, human oversight, fallback, traceability, interoperability, and re-validation. The evidence shows that water twins are strongly shaped by heterogeneous sensing, hydraulic/process uncertainty, and site-specific transfer, whereas power twins more often face tight latency, topology change, stability margins, and protection-adjacent decision requirements. Across both sectors, the dominant unresolved gap is not isolated AI accuracy but sustained field evidence demonstrating synchronized physical linkage, uncertainty-aware decisions, governed authority, cyber resilience, and lifecycle re-validation. The review therefore provides a cross-sector basis for distinguishing promising AI models from deployment-ready digital twins and for prioritizing future infrastructure-grade validation.

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Esraa Walid mail -
Lozan Shady mail -
Asmaa Elsayed mail -
Manar Mostafa mail
link https://doi.org/10.54216/MOR.070205

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

On the Perfect Italian Domination Numbers of Some Graph Classes

A function f:V(G)→{0,1,2} is called a Perfect Italian dominating function (PIDF) of a graph G=(V,E) if ∑_(v∈N(u)) f(v)=2 for every vertex u∈V(G) with f(u)=0. The weight of an PIDF is w(f)=∑_(v∈V) f(v) . The minimum weight of all Perfect Italian dominating functions that can be conducted on a graph G is called the perfect Italian domination number of G and is denoted by γ_I^p (G). In this paper, we study the problem on different graph classes. We determine the perfect Italian domination numbers of the circulant graphs C_n {1,2} for n≥5 and give upper bounds for γ_I^p (C_n {1,3})  when n≥7. We also find this parameter for generalized Petersen graph P(n,2) when n≥5. We determine γ_I^p (G) of strong grids P_2⊠P_n  and P_3⊠P_n for arbitrary n≥2, then we introduce an upper bound for γ_I^p (P_m⊠P_n ) when m,n≥2 are arbitraries. Finally, we determine the perfect Italian domination number of Jahangir graph J_(s,m) for arbitrary s≥2 and m≥3.

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Khadija Ben Othman mail
link https://doi.org/10.54216/GJMSA.0110104

Volume & Issue

Vol. Volume 11 / Iss. Issue 1

Details open_in_new

On The Markov-Bernstein Inequalities with Weight Functions in Lp Spaces

In this paper, we study of the Markov- Bernstein inequality of a complex polynomial with exponential weight functions  e^(-r^2  z/2)   on the domain ├]-∞,+∞┤[,    we also study the Integral Markov-Bernstein inequality for the algebraic polynomials of degree 2m and degree m with algebraic weight functions on the domain [1,+∞┤[of type (1/x^2 )^(-n), and on the domain ├]0,+∞┤[of type (1/t)^(-n).

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Sergey Drominko mail -
Erina Kovachiskaya mail
link https://doi.org/10.54216/GJMSA.0110105

Volume & Issue

Vol. Volume 11 / Iss. Issue 1

Details open_in_new