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.
General Aspects of Knowledge Management for the Assessment of Academic Outcomes Mihai Petrov, Velichka Traneva, Stoyan Tranev, Meglena Lazarova, Venelin Todorov, Antonina Ivanova Lecture Notes in Networks and Systems, 2026 This study suggests a methodical elaboration of data processing of training processes with the application of demand-supply economic management procedure. The bases of examination processes can be applied to assess criteria related to the efficiency of academic results. The procedures of economic management are applied with the aim of highlighting new directions of scientific management which is a tool for the elaboration of the new strategies for high qualified academic outcomes. The analytical expressions of supply - demand academic processes are suggested and the calculated results are compared with the real ones.
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
Circular Intuitionistic Fuzzy Knapsack Problem Velichka Traneva, Petar Petrov, Stoyan Tranev Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics, 2024
An intuitionistic fuzzy approach to the hungarian algorithm Velichka Traneva, Stoyan Tranev, Vassia Atanassova Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics, 2019
Index matrices as a decision-making tool for job appointment Velichka Traneva, Vassia Atanassova, Stoyan Tranev Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics, 2019
