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

Abstract

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.

DOI: 10.5281/zenodo.16344216