A Unified Mathematical Framework for Fuzzy Customer Relationship Management (FCRM) and Neutrosophic Human Resource Management (NHRM)

Abstract

Numerous frameworks have been developed to address uncertainty in various domains. Among the most prominent are Fuzzy Sets, Rough Sets, Hyperrough Sets, Vague Sets, Intuitionistic Fuzzy Sets, Neutrosophic Sets, Plithogenic Sets, as well as other emerging theories that continue to be actively explored. Customer Relationship Management (CRM) is a structured methodology for managing and analyzing interactions with current and prospective customers, placing strong emphasis on data-driven insights to improve loyalty, satisfaction, and profitability. Human Resource Management (HRM), on the other hand, focuses on organizing, developing, and optimizing employee performance, well-being, and interpersonal dynamics within an organization. In this paper, we introduce rigorous Mathematical Frameworks for Fuzzy Customer Relationship Management (FCRM), Neutrosophic Customer Relationship Management (NCRM), Fuzzy Human Resource Management (FHRM), and Neutrosophic Human Resource Management (NHRM), which integrate uncertainty-oriented paradigms with established CRM and HRM practices to enhance decision-making, adaptability, and overall organizational efficiency.