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On neutrosophic N-deductive systems of Hilbert algebras

The notion of neutrosophic N-deductive systems of Hilbert algebras is introduced, and several properties are investigated. Conditions for neutrosophic N-structures to be neutrosophic N-deductive systems of Hilbert algebras are provided. Relations between neutrosophic N-deductive systems and their level subsets are considered. The Cartesian product of neutrosophic N-structures is also supplied. Finally, we also find the property of the homomorphic pre-image of neutrosophic N-deductive systems.

groups
Aiyared Iampan mail -
N. Rajesh mail
link https://doi.org/10.54216/IJNS.230429

Volume & Issue

Vol. Volume 23 / Iss. Issue 4

Details open_in_new

On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves

The concept of A-curves is considered as a novel application of real field extensions in solving some algebraic vectorial equations defined by Euclidean norms. In this paper, we present a novel insight through the classification of A-curves by illustrating many new semi-module isomorphisms between the direct product of weak fuzzy complex numbers with itself and the direct product of classical Euclidean vector spaces multiplied by itself. These isomorphisms will give us a full classification of A-curves that are related to weak fuzzy complex ring. Also, we provide many examples to explain the contribution of our work.

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Abdallah Shihadeh mail -
Wael Mahmoud M. Salameh mail -
Malik Bataineh mail -
Hassan Al-Tarawneh mail -
Ayman Alahmade mail -
Abdallah Al-Husban mail
link https://doi.org/10.54216/IJNS.230428

Volume & Issue

Vol. Volume 23 / Iss. Issue 4

Details open_in_new

An Algebraic Approach to the Symbolic 5-Plithogenic Vector Spaces

The objective of this paper is to study for the first time the concept of symbolic 5-plithogenic vector space defined over symbolic 5-plithogenic field. Many results about the algebraic properties of this class of spaces will be obtained, where we define AH-subspaces, AH-linear transformations, and kernels. Also, we study the inner products defined over symbolic 5-plithogenic vector spaces and determine the conditions of orthogonality in these spaces with many interesting examples.

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Sara Sawalmeh mail -
Cuauhtemoc Samaniego mail -
Khakimova Khulkar Khamitovna mail
link https://doi.org/10.54216/IJNS.230430

Volume & Issue

Vol. Volume 23 / Iss. Issue 4

Details open_in_new

An Effective Algorithm for Solving Weak Fuzzy Complex Diophantine Equations in Two Variables

Weak fuzzy complex numbers are defined as , with  as an extension of real numbers with . This paper is dedicated to studying weak fuzzy complex linear Diophantine equations in two weak fuzzy complex variables, by transforming the weak fuzzy complex Diophantine equation to a classical equivalent Diophantine system and going directly from the solutions of classical system into the desired equation. Algorithms for generating solutions of the previous equation will be presented in terms of theorems with many related examples that clarify the validity of our work.

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Mayada Abualhomos mail -
Wael Mahmoud M. Salameh mail -
Malik Bataineh mail -
Mowafaq Omar Al-Qadri mail -
Ayman Alahmade mail -
Abdallah Al-Husban mail
link https://doi.org/10.54216/IJNS.230431

Volume & Issue

Vol. Volume 23 / Iss. Issue 4

Details open_in_new

Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces

The main goal of this work is to define for the first time the concept of the metric space of weak fuzzy complex numbers, where we present a suitable metric defined over the ring of weak fuzzy complex numbers, and we study the open balls, closed balls, and torus generated from its structure. On the other hand, we study the symbolic 2-plithogenic and 3-plithogenic/4-plithogenic metric space and its ability to be generated from classical metrics, with many interesting properties related to its analytical structure. Also, many examples will be illustrated to clarify and explain the novelty of this work.

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Hazim M. Wali Al-Tameemi mail
link https://doi.org/10.54216/IJNS.230432

Volume & Issue

Vol. Volume 23 / Iss. Issue 4

Details open_in_new

Role of Context in Visual Language Models for Object Recognition and Detection in Irregular Scene Images

In this work, we rethink the phonetic growing experience in scene message recognition and abandon the broadly acknowledged complex language model. We present a Visual Language Displaying Organization (Vision LAN), which considers the visual and etymological data as an association by straightforwardly enriching the vision model with language capacities, rather than prior strategies that look at the visual and semantic data in two free designs. Specifically, we present person shrewd impeded highlight map message recognition in the preparation stage. At the point when visual prompts (like impediment, commotion, and so on) are perplexed, this activity guides the vision model to utilize both the visual surface of the characters and the phonetic data in the visual setting for recognition. To improve the performance of visual language models devoted to item identification and recognition in irregular scene images, the abstract investigates the critical function that context plays. Distinguished by intricate and ever-changing visual components, irregular sceneries pose distinct difficulties for conventional computer vision systems.

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A. Madhuri mail -
T. Umadevi mail
link https://doi.org/10.54216/FPA.150120

Volume & Issue

Vol. Volume 15 / Iss. Issue 1

Details open_in_new

On Soft 2-metric spaces

The main purpose of this article is to introduce the concept of soft2-metric spaces that are new metric spaces based on the soft-elements and to study their properties, also to introduce some related concepts such as soft2- open ball, soft2 closed ball, soft2- open sets, soft2 closed sets, soft2-interior elements, soft2-limit elements, soft2-closure of sets, and study some of their properties.  And that is proved that every soft2- open ball is a soft2- open set, every soft2- closed ball is a soft2- closed set.  And reformulated and proved some theorems in soft2-metric space, such as Cantor's theorem and other theorems.

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Pshtiwan Sabir Noori mail
link https://doi.org/10.54216/GJMSA.0100201

Volume & Issue

Vol. Volume 10 / Iss. Issue 2

Details open_in_new

Information Fusion for the Training of Public Administrators: Design of a Composite Indicator through the Integration of AHP and TOPSIS Methods

The article addresses the importance of capacity development among public administrators to ensure the efficient functioning of the state and the provision of quality services to the citizenry. This entails acquiring legal knowledge, ethical principles, and technical skills in areas such as strategic planning, financial management, and policy evaluation. In addressing the evaluation of public administrators' training programs, the Analytic Hierarchy Process (AHP) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) methods are employed. The methodology delineates the fundamental concepts and key equations to understand the application of these methods in evaluating public administrators' training programs. The findings underscore the significance of specific competencies in public administrators' training. These competencies, combined with comprehensive training encompassing cognitive, attitudinal, and instrumental dimensions, can equip professionals to confront current governmental challenges effectively. The article emphasizes the relevance of capacity development among public administrators and introduces methods such as AHP and TOPSIS to assess and enhance training programs in this field, aiming to bolster the state's capacity to respond efficiently to societal needs.

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Noel Batista Hernández mail -
Katherine E. Prieto Izquierdo mail -
Denisse M. Valle Rodríguez mail -
Adam Marks mail
link https://doi.org/10.54216/IJNS.230433

Volume & Issue

Vol. Volume 23 / Iss. Issue 4

Details open_in_new

An Algebraic Approach to n-Plithogenic Square Matrices For 𝟏𝟖 ≤ 𝒏 ≤ 𝟏𝟗

This paper is dedicated to study the algebraic properties and substructures that are related to the symbolic 18 and 19 plithogenic square matrices, where we present many different theorems and examples to clarify the computation of symbolic 18 and 19 plithogenic determinants, and finding 18-plithogenic and 19-plithogenic eigenvalues and eigenvectors. On the other hand, we provide algorithms for computing the inverses of symbolic 18-plithogenic and 19-plithogenic matrices with necessary and sufficient conditions for the orthogonality of those matrices.

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Noor Edin Rabeh mail -
Othman Al-basheer mail -
Sara Sawalmeh mail -
Rozina Ali mail
link https://doi.org/10.54216/JNFS.070201

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

A Hybrid Intrusion Detection Approach for Cyber Attacks

The field of cybersecurity constantly evolves as attackers develop new methods and technologies. Defending against cyberattacks involves a combination of robust security measures, regular updates, user education, and the use of advanced technologies, such as intrusion detection systems and artificial intelligence, to find out the threats in real-time. IDS are designed to identify and address any unauthorized actions or potential security threats within a computer network or system. A hybrid intrusion detection system (IDS) combines many detection techniques and strategies from different IDS types into a single, coherent solution. Combining the benefits of each approach should result in more comprehensive and effective intrusion detection. This paper outlines a proposed anomaly intrusion detection system (AIDS) framework that leverages a hybrid of deep learning strategies. It incorporates Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) models, which were developed using XGBoost, and their efficacy was assessed with the NSL-KDD dataset. The evaluation of the suggested model focused on its accuracy, detection capabilities, and the rate of false positives. The outcomes of this research are noteworthy within the cybersecurity field. In this paper, a framework of an Anomaly IDS is proposed. The purpose of an anomaly IDS, or AIDS, is to spot odd behavior on a network or system that might point to a security breach or malevolent attempt to hack it. Anomaly-based IDSs concentrate on finding departures from accepted typical behavior, in contrast to signature-based detection systems, which depend on a predefined database of known attack patterns.

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Amrita Bhatnagar mail -
Arun Giri mail -
Aditi Sharma mail
link https://doi.org/10.54216/JCIM.130201

Volume & Issue

Vol. Volume 13 / Iss. Issue 2

Details open_in_new