Complex Fermatean Neutrosophic Sets and their Applications in Decision Making

Authors

Vijaya V
Said Broumi
Manikandan H

Abstract

Complex Neutrosophic Sets have emerged as a groundbreaking paradigm for handling uncertainty in complex-valued variables. By defining truth, indeterminacy, and falsity membership functions within the unit circle of the complex plane, this innovative framework provides a robust foundation for uncertainty management. This paper introduces a novel hesitance distance measure for Complex Fermatean Neutrosophic Sets, enabling the quantification of uncertainty in complex decision-making scenarios. The proposed distance measure is applied to solve a Multi-Criteria Decision Making Problem, demonstrating its effectiveness in handling uncertainty and ambiguity. This research has far-reaching implications for various fields, including decision theory, artificial intelligence, and operations research. The proposed hesitance distance measure provides a valuable tool for decision-makers to quantify uncertainty and make informed decisions in complex environments

Recommended Citation

V, Vijaya; Said Broumi; and Manikandan H. "Complex Fermatean Neutrosophic Sets and their Applications in Decision Making." Neutrosophic Sets and Systems 81, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol81/iss1/51