Neutrosophic Sets and Systems
Distance Measure for Fermatean Neutrosophic Sets: A Comparative Framework for Qualitative Evaluation
Abstract
This work introduces a novel distance measure specifically designed for Fermatean Neutrosophic sets (FNS), extending upon existing measures such as the intuitionistic fuzzy distance and single-valued Neutrosophy distance measures. The study proposes a Hypothetical Framework for Fermatean Neutrosophic Sets to evaluate minimum distances and compares six different distance measures. These measures are applied within the contexts of both Fermatean Neutrosophic Sets and Neutrosophic Sets. The primary objective is to identify the shortest distance, enabling precise and appropriate decision-making. The study highlights the importance of false membership in FNS, which alters the ranking of FNS and establishes the Fermatean Neutrosophic set as a more accurate tool for evaluation in specific cases.
Recommended Citation
Bhuvaneshwari, S.; C. Antony Crispin Sweety; and Broumi Said. "Distance Measure for Fermatean Neutrosophic Sets: A Comparative Framework for Qualitative Evaluation." Neutrosophic Sets and Systems 80, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol80/iss1/16
