@article{Fatimah2026, 
author = {Fatia Fatimah and Elin Herlinawati and  Andriyansah},
title = {Pythagorean multi-fuzzy N-soft sets: a novel hybrid model for group decision making and its applications in distance education},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {3},
pages = {6420-6436},
keywords = {Pythagorean multi-fuzzy n-soft sets, n-soft sets, fuzzy sets, hybrid model, distance education},
url = {https://www.sciopen.com/article/10.3934/math.2026265},
doi = {10.3934/math.2026265},
abstract = {The rapid development of distance education has led to a pressing need for practical evaluation of learning platforms, especially in situations where decision-making involves multiple evaluators and uncertain information. To address this need, we introduce a new hybrid model called Pythagorean Multi-Fuzzy N-Soft Sets (PMFNSS). This model is designed to improve group decision-making under complex and ambiguous conditions. The proposed PMFNSS model was built by combining Pythagorean Fuzzy N-Soft Sets (PFNSS) and Multi-Fuzzy N-Soft Sets (MFNSS). First, we formally defined the concept of PMFNSS. Next, we proposed a group decision-making algorithm based on the framework. Finally, to validate its applicability, the model was used in a real-life case study on the evaluation of digital learning platforms in distance education. The results indicated that PMFNSS can serve as a multi-attribute group decision-making tool. Its application to distance education offers a systematic approach to evaluating and optimizing digital learning platforms for resource efficiency and sustainability.}
}