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Hyperalgorithms & Superhyperalgorithms: A Unified Framework for Higher-Order Computation

An algorithm is a finite, well-defined computational procedure that transforms inputs into outputs through a structured sequence of steps, guaranteeing termination and correctness. A multialgorithm comprises multiple algorithms augmented with a selection mechanism that dynamically chooses the most appropriate procedure based on input characteristics or contextual conditions. While these concepts have deep roots in computer science and beyond, this paper introduces two novel generalizations: the Hyperalgorithm and the Superhyper- algorithm. By leveraging the mathematical frameworks of hyperstructures and superhyperstructures, respectively, we extend the classical notion of computation to higher-order operations on sets and iterated powersets. We present formal definitions, illustrative examples, and a preliminary analysis of their computational properties, laying the groundwork for a unified theory of higher-order algorithms.

groups
Takaaki Fujita mail
link https://doi.org/10.54216/PAMDA.040104

Volume & Issue

Vol. Volume 4 / Iss. Issue 1

Details open_in_new

Rethinking Strategic Perception: Foundations and Advancements in HyperGame Theory and SuperHyperGame Theory

Mathematical structures can generally be extended into Hyperstructures and SuperHyperstructures by leveraging powerset and n-th iterated powerset constructions (cf.7, 17, 31). These frameworks are particularly effective for representing hierarchical systems across various conceptual domains. Game Theory is a mathematical discipline for analyzing strategic interactions among rational agents with conflicting or cooperative objectives and finite choices.5, 10, 26 HyperGame Theory extends this by modeling situations in which players possess misperceptions or differing beliefs about the game being played.23 These ideas can be further generalized into the concept of SuperHyperGames.15 This paper explores the mathematical properties and illustrative examples of both HyperGame Theory and SuperHyperGame Theory. We hope that this investigation contributes to future developments in the theory and application of game-theoretic frameworks.

groups
Takaaki Fujita mail
link https://doi.org/10.54216/PAMDA.040201

Volume & Issue

Vol. Volume 4 / Iss. Issue 2

Details open_in_new

Immersive Learning with the Metaverse’s Environment to Increase Academic Success and Motivation in learning Arabic as a Second Language for Non-Native Speakers

The metaverse's environment offers a unique opportunity for immersive learning experiences that can enhance education in ways never before possible. By creating virtual environments that simulate real-world scenarios, students can actively engage with the material and practice their skills in a safe and controlled setting. This technology has the potential to revolutionize the way we learn, making education more interactive, engaging, and effective for students of all ages. The integration of the metaverse's environment into Arabic language learning can provide non-native speakers with a more engaging and interactive learning experience. By creating virtual environments that simulate real-life situations, students can practice their language skills in a more realistic and practical way. The participants were 60 learners from non-native speakers enrolled in an Arabic Language course for intermediate level in the Arabic Language Center for Non-Native Speakers at the faculty of education at Mansoura University. The findings of research found that the immersive approach could help increase students' motivation to learn Arabic as a second language, leading to greater academic success in the subject. Additionally, the use of the metaverse can also help bridge the gap between language learners and native speakers, providing opportunities for real-time communication and cultural exchange.

groups
Reham Mohamed Al-Ghoul mail -
Ramy Samir Mohammed ALSeragy mail
link https://doi.org/10.54216/IJAIET.030101

Volume & Issue

Vol. Volume 3 / Iss. Issue 1

Details open_in_new

The Effectiveness of Learning through Gamification with Artificial Intelligence on Mental Health (Anxiety) and Building Learning Habits for College Learners

Gamification is the process of incorporating game-like elements, such as scoring and competition, into non-game activities to increase engagement and motivation. Artificial intelligence (AI) refers to the simulation of human intelligence in machines that are programmed to think and learn like humans. When these two concepts are combined, they can help students overcome anxiety and develop effective learning habits, and the use of AI technology can provide personalized feedback and support, ultimately improving overall mental well-being and academic success. These innovative approaches to learning have the potential to revolutionize traditional education methods and create a more engaging and effective learning environment for students. This research used gamification with artificial intelligence in learning content in an eLearning environment. The participants were 60 learners enrolled in the vocational diploma program in educational technology specialization at the faculty of education at Mansoura University. The findings of research found that incorporating game-like elements and personalized learning experiences could help reduce stress and increase motivation among students. This innovative approach to education shows promise in improving student outcomes and overall academic performance.

groups
Reham Mohamed Al-Ghoul mail -
Ramy Samir Mohammed ALSeragy mail
link https://doi.org/10.54216/IJAIET.030102

Volume & Issue

Vol. Volume 3 / Iss. Issue 1

Details open_in_new

Traditional and AI-Powered Storytelling Tactics with Multimedia Elements (Images, Sounds, videos, and Texts) to Promote Teachers’ Skills in Creating Storytelling Content

Storytelling has long been recognized as a powerful tool for engaging and educating audiences, and with the advancements in technology, educators now have more resources at their disposal than ever before. By combining traditional storytelling techniques with AI-powered tools and multimedia elements such as images, sounds, and texts, teachers can create dynamic and interactive stories that captivate and inspire their students. This integration of old and new storytelling tactics not only enhances the learning experience for students but also helps teachers develop their own skills in constructing compelling and innovative content. Therefore, research is essential to investigate whether these applications are useful in developing teacher’s skills in creating compelling storytelling with innovative content. The purpose of this research was to investigate the impact of AI-powered tools and technology on storytelling and the relationship between human fantasy and AI fantasy to create successful storytelling. Participants were 90 teachers enrolled in vocational diploma programs in the faculty of education at Mansoura University.  Results indicated participants in the AI-Powered Storytelling Tactics groups significantly increased scores on storytelling video assignment creation and engagement with the experience, and indicated a likelihood to use AI-Powered Storytelling Tactics with their future students.

groups
Reham Mohamed Al-Ghoul mail -
Ramy Samir Mohammed ALSeragy mail
link https://doi.org/10.54216/IJAIET.030201

Volume & Issue

Vol. Volume 3 / Iss. Issue 2

Details open_in_new

AHMAD (PBUH) Model: A Lean Transformational Framework for Organizational Change – Insights from the Leadership of Prophet Muhammad (PBUH)

The dynamic business world of today has introduced a necessity of efficient models of organizational change that are adaptive and ethical in nature. Organizations have been challenged by the necessity of innovative models of change management based on the ethical leadership dimension and culture awareness. The aim of this study is to examine the AHMAD Model as a change model for organizational transformation, drawing on the leadership behavior of Prophet Muhammad (PBUH). It would like to explore how applicable the model is in contemporary organizational contexts and if it can bring together ethical leadership and effective change management practices. Comparative analysis of AHMAD Model earlier Islamic scholarship and recent organizational transformation theories by Kotter's 8-Step Change Model, Lewin's Change Theory, and Agile methodologies will be employed. Adaptability, holism, motivation, accountability, and discipline are the five key pillars of the AHMAD Model. The acronym is "AHMAD" as pronounced by the followers of the Holy Prophet Muhammad (PBUH); it encourages ethical leadership and further provides participative decision-making, reactiveness as three important ingredients of successful change projects and effective communication. The AHMAD Model can serve as a template for organizations that strive to embark on changing initiatives founded on high moral and people-centered principles. Driven by such values, these organizations will be capable of triggering a process that humanizes the workplace and creates a teamwork-based work environment and more plural. This paper fills an important gap in literature by connecting religious-influenced leadership frameworks with classical organizational expectations. This paper offers a new paradigm of strategic leadership based on the Prophet's practices where ethics supersede modern management. The model gives an organization a change management process that is methodical in approach but moral in nature. Future studies can be done on how AHMAD Model can be implemented in different cultures and the impact of that on organizational performance. Similarly, research on long-term effects of the implementation of this model on organizational culture and employee morale would be useful.

groups
Ahmed Fahim Elgendi mail -
Ghada Moukhtar Elgendi mail -
Nael Zabel mail
link https://doi.org/10.54216/IJBES.110104

Volume & Issue

Vol. Volume 11 / Iss. Issue 1

Details open_in_new

A Reconsideration of the Mathematical Frameworks for Fuzzy and Neutrosophic Supply Chain Management (FSCM and NSCM)

Numerous frameworks have been developed to address uncertainty in various domains. Among the most prominent are Fuzzy Sets,26 Rough Sets,15 Intuitionistic Fuzzy Sets,4 Hesitant Fuzzy Sets,23 Neutrosophic Sets,3 as well as other emerging theories that continue to be actively explored. Supply Chain Management (SCM) involves planning, coordinating, and optimizing the flow of goods, information, and finances across the entire supply network.9, 16 In this paper, we introduce rigorous Mathematical Frameworks for Fuzzy Supply Chain Management (FSCM) and Neutrosophic Supply Chain Management (NSCM). We hope that these formulations will foster further advances in both supply chain optimization and the development of Fuzzy Set and Neutrosophic Set-based models.

groups
Takaaki Fujita mail
link https://doi.org/10.54216/JNFS.100102

Volume & Issue

Vol. Volume 10 / Iss. Issue 1

Details open_in_new

Hessian matrix for testing the convexity and concavity of the objective function in nonlinear programming and neutrosophic nonlinear programming problems

Mathematical examples rely on constructing mathematical models consisting of an objective function and constraints. These models may be linear, nonlinear, or otherwise. The objective function is either a maximization function or a minimization function for a given quantity. Nonlinear programming constitutes an important and fundamental part of operations research and is more comprehensive than linear programming. Therefore, researchers have focused on presenting studies that help find the optimal solution to these problems. Most of these studies have focused on the importance of knowing the type of objective function—whether it is convex or concave—because this knowledge helps determine the type of maximum value we obtain when studying a nonlinear programming problem. The Hessian matrix was used for this purpose. In this research, we will present the most important concepts that can be used when determining the type of maximum value for a nonlinear programming problem, as mentioned in some classic references. We will then reformulate them using the concepts of neutrosophic logic.

groups
Maissam Jdid mail
link https://doi.org/10.54216/PAMDA.040202

Volume & Issue

Vol. Volume 4 / Iss. Issue 2

Details open_in_new

Assessing Readiness for mHealth Adoption in Coronary Artery Disease Management: Iraq Case Study

Chronic diseases (CDs) have become as significant as communicable diseases due to their rising mortality rates and long-term effects. Coronary artery disease (CAD), one of the most common NCDs, is increasingly concerning due to its impact on both death rates and overall health. Managing CAD typically requires professional care and lifestyle changes, which may be inaccessible to some patients due to financial constraints or difficulty in modifying their habits. However, remote health solutions, like mobile applications, could help CAD patients improve their condition and lower risks. In Iraq, the willingness of CAD patients to use mHealth apps has not been explored. This study examines existing mHealth readiness models and incorporates additional factors that consider the needs of CAD patients and the Iraqi context. This will be achieved by adapting a questionnaire based on expert feedback and distributing it to CAD patients in Iraq.

groups
Iman Kadhim Ajlan mail -
Ahmad Fadhil Yusof mail -
Fahad Taha AL-Dhief mail -
Nurhizam Saif mail -
Ali Hashim Abbas mail
link https://doi.org/10.54216/FPA.200202

Volume & Issue

Vol. Volume 20 / Iss. Issue 2

Details open_in_new

Detection of Fake News on Twitter Using a Novel Data-Mining Algorithm

Social media has supplanted conventional media as one of the most important venues for information exchange. Because of the internet's accessibility and simplicity, news on community media tends to spread quicker and simpler than a conventional news source. Still, not all of the information shared on ‘social media’ is true and/or comes from untrustworthy sources. Fake news may readily be manufactured and disseminated throughout ‘social media’, and this counterfeit news has the potential to mislead or misinform readers. Though several physical fact-inspection websites have been built to determine if the news is reliable, they cannot keep up with the amount of rapidly circulated internet information, particularly on social media. Twitter, being one of the most well-known continuing news sources, also happens to be one of the most dominating news disseminating media. Topic models facilitate the detection of the most relevant vocabulary and concept within a text corpus. This paper proposes a model for recognizing fake news messages from twitter posts using a novel data-mining algorithm. Here initially the twitter dataset is collected preprocessing is done by using word embedding. ‘Term Frequency Inverse Document Frequency ‘(TF-IDF)’ and Latent Semantic Analysis (LSA) do feature extraction. Feature selection is based on the Adaptive Whale Optimized Wrapper (AWOW) method. We proposed Fine-tuned Weighted Probabilistic Bayesian Neural Network (FWP-BNN) for the classification of the normal and the fake news. The proposed method is compared with existing approaches and the metrics are evaluated. The efficacy of the suggested technique in recognizing fake tweets is shown by test findings on a large miscellaneous events dataset.

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Dena Kadhim Muhsen mail -
Azhar F. Al-zubidi mail -
Gheed Tawfeeq Waleed mail
link https://doi.org/10.54216/FPA.200203

Volume & Issue

Vol. Volume 20 / Iss. Issue 2

Details open_in_new