An Original Quantum-Neutrosophic Calculus Framework for Dynamic Evaluation and Optimization of Enterprise Human Resource Management Capabilities under Uncertain Environments

This paper introduces an original and innovative mathematical framework, integrating Neutrosophic Logic and Quantum Calculus, termed the Quantum Neutrosophic Calculus (QNC), specifically designed for dynamically evaluating and optimizing Human Resource Management (HRM) capabilities under conditions of uncertainty and ambiguity. The proposed QNC framework is capable of modeling complex real-world HRM systems by simultaneously capturing the quantum discrete nature of dynamic changes and the inherent neutrosophic uncertainties (truth, indeterminacy, and falsity). We construct novel quantum-neutrosophic differential and integral equations, establishing a series of foundational mathematical definitions, theorems, and illustrative examples demonstrating their applicability. An original Adaptive Quantum-Neutrosophic Evaluation Index (AQNEI) is formulated to practically measure and enhance HRM capabilities dynamically. A comprehensive real-life case study from an enterprise context is fully calculated, verifying the framework’s effectiveness, accuracy, and practical relevance. The proposed method offers a powerful mathematical tool for decision-makers to precisely manage and improve HRM systems in rapidly changing and uncertain environments.