Adaptive Neutrosophic Integration and Trust Modeling: A New Framework for Evaluating Mobile Communication Network Migration Perception

Abstract

This paper presents an innovative neutrosophic decision-making framework for 
modeling and analyzing customer trust during mobile communication network 
transitions, specifically in the context of 4G to 5G migration. Traditional satisfaction 
models,  whether statistical or fuzzy-based,  struggle to address the simultaneous presence 
of uncertainty, ambiguity, and contradiction inherent in subjective human perception. To 
overcome these limitations, we propose two original mathematical constructs rooted in 
neutrosophic theory: the Neutrosophic Trust Confidence Index (NTCI) and the Adaptive 
Neutrosophic Integral (ANI). NTCI is a novel probabilistic index that measures both the 
clarity and directionality of user trust by integrating degrees of truth, indeterminacy, and 
falsity while penalizing ambiguous feedback. In contrast, ANI departs from classical 
fixed-weight integrals by dynamically adjusting attribute weights according to their 
internal trust confidence, enabling more reliable factors to exert greater influence in the 
aggregation process. The framework is supported by formal definitions, proofs of key 
properties such as boundedness and neutrality, and step-by-step computational examples 
based on real user evaluations collected during live network migration. The results 
demonstrate that the proposed models not only maintain the triadic structure of 
neutrosophic logic but also offer improved interpretability and discrimination power 
compared to conventional aggregation techniques.  This work advances the practical use 
of neutrosophic logic in trust analytics and provides a robust mathematical foundation 
for decision-making in environments characterized by incomplete, vague, or conflicting 
information. 

DOI: 10.5281/zenodo.15492799