The neutrosophic topological framework is proposed for smartphone data extraction, considering inherent ambiguity and uncertainty. This approach incorporates neutrosophic membership degrees (Truth, Indeterminacy, and Falsity) to handle uncertainty in various applications. This paper presents potential applications, including activity recognition, sentiment analysis, anomaly detection in app usage patterns, and personalized health monitoring. Numerical examples are provided to illustrate the application of the framework in these domains.