Post by Jesus Rafael Hechavarria-Hernandez

📢 New Publication in Mathematics (MDPI) I am pleased to share our recent article: A Neutrosophic Topological Approach to Scientific Decision Architectures: Structural Stability, Convergence, and Information Dynamics 📖 Mathematics, 2026, 14(11), 2002 🔗 https://lnkd.in/eQD3qWjx This work introduces the Scientific Decision Architecture for Complex Systems (SDA-CS), a formal mathematical framework that models scientific research design as a dynamic decision system operating within a complete neutrosophic metric space. The study demonstrates that research processes can be represented as trajectories converging toward stable methodological states, even under conditions of high uncertainty and indeterminacy. By combining neutrosophic logic, topology, fixed-point theory, structural stability analysis, and information theory, the framework provides a rigorous foundation for understanding how scientific investigations evolve, stabilize, and reduce informational entropy through evidence-based decision pathways. Key contributions include: ✔ Formalization of research configurations as trajectories in a neutrosophic metric space ✔ Proof of convergence using the Banach Fixed-Point Theorem ✔ Stability analysis through methodological Jacobian operators ✔ Information-theoretic interpretation of scientific decision processes as entropy-reduction mechanisms ✔ A mathematical foundation for reproducibility and robustness in complex scientific investigations This research contributes to the intersection of Artificial Intelligence, Decision Sciences, Complex Systems, Neutrosophic Logic, Mathematical Modeling, and Research Methodology. I would like to thank all colleagues and collaborators who have supported the development of these ideas. #Mathematics #ArtificialIntelligence #ComplexSystems #DecisionScience #NeutrosophicLogic #Topology #ResearchMethodology #SDA_CS #ScientificResearch #MDPI