A Three-Dimensional Product-Based Circular Intuitionistic Fuzzy Potential Method for Transportation Problems Velichka Traneva, Stoyan Tranev Mathematics, 2026 Transportation problems constitute a fundamental class of optimization models; however, real-world applications involve uncertainty, hesitation, and expert disagreement that cannot be adequately captured by deterministic or classical fuzzy approaches. This paper proposes a three-dimensional circular intuitionistic fuzzy potential method (3D–CIFMODI), which extends the classical MODI framework to Circular Intuitionistic Fuzzy Triples (C-IFTs) through radius-aware operations and indexed matrix representations. Unlike existing circular intuitionistic fuzzy transportation methods, which are primarily feasibility-driven, the proposed approach introduces a dual-based optimality framework based on circular reduced costs, preserving the full structure of uncertainty without reducing it to crisp equivalents. The method retains polynomial-time computational complexity O(mn(m+n)), i.e., O(n3) for square problems, with only a constant computational overhead due to circular operations. A numerical case study demonstrates the effectiveness and robustness of the proposed framework. Furthermore, a comparative analysis between classical intuitionistic fuzzy (IFS) and circular intuitionistic fuzzy (C-IFS) representations shows that incorporating the radius parameter significantly improves discrimination capability, solution stability, and interpretability. The results confirm that the proposed method provides a unified, interpretable, and computationally efficient framework for solving multi-layer transportation problems under circular intuitionistic fuzzy uncertainty.
Bioeconophysical science of microeconomical equilibrium of stocks Mihai Petrov, Stoyan Tranev Journal of Physics Conference Series, 2025 This interdisciplinary study develops an integrative platform combining thermodynamics, econophysics, pharmaceutical sciences, and human health. It analyzes the bioeconophysical equilibrium of human systems and its relation to microeconomic behavior in pharmaceutical markets. The focus is on how molar mass of medicinal substances influences pharmacokinetic parameters - half-life, receptor interactions - explained through thermodynamic laws. An econophysical model, analogous to the ideal gas law, links molar mass and half-life, showing higher molecular weights yield longer half-lives due to reduced permeability. A new equilibrium equation connects drug prices, molar masses, and receptor activation energies, validated with pharmaceutical data. The framework also proposes optimized drug administration intervals derived from molar mass. Findings underline the unifying role of bioeconophysics, offering insights for drug development and economic dynamics in pharmaceutical systems.
Integration of Intuitionistic Fuzzy Logic and Modified Ordinary Differential Equations for Robust Financial Market Forecasting Journal of Multiple Valued Logic and Soft Computing, 2025
