Umut Selvi | Ankara Hacı Bayram Veli University | Best Researcher Award

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Mr. Umut Selvi l Mathematics | Best Researcher Award

Ankara Hacı Bayram Veli University | Turkey

 Mr. Umut Selvi centers on advanced mathematical structures, focusing on algebraic geometry, matrix theory, and their applications in both theoretical and computational mathematics. His doctoral and postgraduate work explores the geometry of Lie algebroids and non-Newtonian parallel surfaces, contributing to a deeper understanding of modern geometric frameworks that bridge algebra and analysis. Selvi has co-authored several studies on spectral norms of circulant matrices involving Chebyshev polynomials and Fibonacci quaternions, providing explicit formulas and extending the theoretical foundations of matrix norms. His research in these areas enhances the computational methods used in engineering and applied sciences. Additionally, his collaborative book chapters and editorial contributions in mathematical publications such as Mathematical Methods for Engineering Applications and Recent Developments in Mathematics reflect a strong engagement in the dissemination of mathematical innovation. Through presentations at international conferences, including those on geometry and mathematical education, Selvi has shared insights on generalized multiplicative cross products, Euclidean norms, and Lie algebraic structures on vector spaces. His work emphasizes analytical precision, structural symmetry, and the unification of abstract algebraic concepts with geometric intuition, advancing the field of pure mathematics with applications in natural and computational sciences.

Featured Publication

Selvi, U. (2025). An explicit formula for spectral norms of circulant matrices with Chebyshev polynomials. Acta Mathematica Universitatis Comenianae, 94(1), 1–5.

Reshma R | Mathematics | Best Scholar Award

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Ms. Reshma R l Mathematics | Best Scholar Award

Amrita Vishwa Vidyapeetham, Coimbatore | India

Ms. Reshma R is a dedicated researcher in applied and computational mathematics, with her work primarily focusing on nonlinear dynamics, fractional-order systems, and neural network synchronization. Her research explores the mathematical modeling, control, and stability analysis of complex systems with applications in secure communication and biometric image encryption. She has published in high-impact journals such as Communications in Nonlinear Science and Numerical Simulation and Mathematical Methods in the Applied Sciences, contributing to advancements in Mittag-Leffler synchronization, hybrid control strategies, and event-triggered systems. Her studies on fractional-order disturbed chaotic neural networks and Lyapunov-based stability conditions offer innovative approaches to enhancing security and robustness in image communication systems. Additionally, her work on hybrid event-triggered singular time-delay systems presents new methodologies for exponential stabilization, bridging theoretical mathematics with engineering applications. Ms. Reshma’s interdisciplinary approach integrates differential calculus, control theory, and computational modeling, reflecting her strong analytical foundation and research depth. She actively participates in national and international conferences, engaging with emerging areas in nonlinear complex systems and mathematical modeling. Her commitment to mathematical innovation and interdisciplinary collaboration underpins her growing impact within the mathematical sciences research community.

Featured Publications

Ramaswami, R., Arumugam, V., & Pathmanaban, S. (2026). Mittag-Leffler synchronization of fractional order disturbed chaotic neural networks with varying time-delay using hybrid controller and its application to biometric image encryption. Communications in Nonlinear Science and Numerical Simulation, 119, 109350. https://doi.org/10.1016/j.cnsns.2025.109350

Ramaswami, R., Arumugam, V., & Pathmanaban, S. (2025). Lyapunov conditions for the finite-time stability of fractional order disturbed nonlinear systems and neural networks: The secure image communication using encryption. Communications in Nonlinear Science and Numerical Simulation, 117, 108716. https://doi.org/10.1016/j.cnsns.2025.108716

Ramaswami, R., Thoppilkalam, N. V., Arumugam, V., & Alzabut, J. (2024). Exponential stabilization of hybrid event-triggered singular time-delay systems. Mathematical Methods in the Applied Sciences, 47(14), 10190. https://doi.org/10.1002/mma.10190

Raiha Imran | Mathematics | Academic Innovator Young Achiever Award

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Ms. Raiha Imran | Mathematics | Academic Innovator Young Achiever Award

Ms. Raiha Imran is an accomplished MPhil scholar in Mathematics at Riphah International University, Lahore, Pakistan, with a strong focus on fuzzy set theory and its applications in decision-making and mathematical modeling. Her research explores innovative solutions in the Fuzzy framework, including the development of Bonferroni mean operators for circular intuitionistic fuzzy sets and their applications in multi-criteria group decision-making. Raiha has published multiple high-quality research papers in reputed journals, addressing topics such as interval-valued intuitionistic fuzzy information, neutrosophic hesitant fuzzy aggregation operators, and distance measures for intuitionistic fuzzy hypersoft sets with practical applications like air quality evaluation. She has received 126 citations for her work, with an h-index of 5, reflecting her impactful contributions to the field. Raiha completed her Master’s degree in Mathematics from Riphah International University with a focus on fuzzy set theory and her Bachelor’s degree from Lahore Garrison University, where she also investigated multi-attribute group decision-making under cubic intuitionistic fuzzy soft environments. Her academic foundation is complemented by earlier schooling under the BISE Lahore and Faisalabad boards, achieving excellent grades throughout. Raiha’s research interests encompass generalizations of fuzzy sets, aggregation operators, similarity and distance measures, entropy measures, pattern recognition, cluster analysis, artificial intelligence, neuro computing, and data sciences. She has collaborated internationally with scholars from India, Serbia, Saudi Arabia, and Taiwan. Beyond research, Raiha has experience teaching mathematics and physics at both intermediate and matriculation levels, contributing to educational development. She has earned several certifications, participated in international conferences, and gained skills in data analysis and machine learning, reflecting her commitment to continuous learning. Raiha combines rigorous analytical expertise with a passion for advancing applied mathematics, aiming to develop innovative methodologies and decision-support tools that bridge theoretical research with practical applications, demonstrating dedication, intellectual curiosity, and a proactive approach to academic excellence.

Featured Publications

1. Imran, R., Ullah, K., Ali, Z., & Akram, M. (2024). A multi-criteria group decision-making approach for robot selection using interval-valued intuitionistic fuzzy information and Aczel-Alsina Bonferroni means. Spectrum of Decision Making and Applications, 1(1), 1–32.

2. Saqlain, M., Riaz, M., Imran, R., & Jarad, F. (2023). Distance and similarity measures of intuitionistic fuzzy hypersoft sets with application: Evaluation of air pollution in cities based on air quality index. Journal Name, Volume(Issue), pages.

3. Imran, R., Ullah, K., Ali, Z., & Akram, M. (2024). An approach to multi-attribute decision-making based on single-valued neutrosophic hesitant fuzzy Aczel-Alsina aggregation operator. Neutrosophic Systems with Applications, 22, 43–57.

4. Imran, R., Ullah, K., Ali, Z., Akram, M., & Senapati, T. (2023). The theory of prioritized Muirhead mean operators under the presence of complex single-valued neutrosophic values. Decision Analytics Journal, 7, 100214.

5. Imran, R., & Ullah, K. (2023). Circular intuitionistic fuzzy EDAS approach: A new paradigm for decision-making in the automotive industry sector. Spectrum of Engineering and Management Sciences, 3(1), 76–92