Complex Fermatean Neutrosophic Sets and their  Applications in Decision Making

Vijaya V; Said Broumi; Manikandan H

Authors

Vijaya V PG & Research Department of Mathematics, Seethalakshmi Ramaswami College,(Autonomous), Tiruchirappalli, (Affiliated to Bharathidasan University, Tiruchirappalli), India.
Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco.
Manikandan H Department of CSE, Srinivasa Ramanujan Centre, Sastra Deemed University, India

Keywords:

Neutrosophic Sets, Complex Neutrosophic Sets, Compex Fermatean Neutrosophic Sets

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.

DOI: 10.5281/zenodo.14942152