Uncertainty Analysis in Prediction Intervals Using Neutrosophic Numbers

Authors

Héctor Félix Cerna Maguiña, National University of San Marcos, LimaFollow
Domingo Guzmán Chumpitaz Ramos, Ricardo Palma University, LimaFollow
Ada Lucía Gallegos Ruiz Conejo, Ricardo Palma University, LimaFollow
Nancy Isabel Pool Painted, Ricardo Palma University, LimaFollow
Jesús Isabel Baltazar Ángeles, Ricardo Palma University, LimaFollow

Abstract

This study analyzes uncertainty in prediction intervals by applying neutrosophic numbers to quality of life forecasts based on characteristics such as compensation, job hours, years of experience, and academic level. Three examples were studied, with indeterminacy values ranging from 0.589 to 0.628. These statistics show that between 58.9% and 62.8% of the prediction intervals are affected by uncertainty. Higher indeterminacy levels reflect a stronger effect of external influences or unpredictability within the data. The analysis demonstrates that as variables like compensation and labor hours grow, so does the level of uncertainty in the projections. Neutrosophic numbers provide a valuable framework for quantifying this uncertainty, providing for a better understanding of the model's limitations and the unpredictable nature of the dataset.

Recommended Citation

Cerna Maguiña, Héctor Félix; Domingo Guzmán Chumpitaz Ramos; Ada Lucía Gallegos Ruiz Conejo; Nancy Isabel Pool Painted; and Jesús Isabel Baltazar Ángeles. "Uncertainty Analysis in Prediction Intervals Using Neutrosophic Numbers." Neutrosophic Sets and Systems 71, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol71/iss1/13