Spherical Fermatean Neutrosophic Topology

Authors

P. Roopadevi
M. Karpagadevi
S. Gomathi
S. Krishnaprakash
Said Broumi

Abstract

In this paper, we introduce Spherical Fermatean Neutrosophic Topological Spaces (SFNTS), ex- panding on neutrosophic sets characterized by Degrees of Membership (DoM), Degrees of Indeterminacy (DoI) and Degrees of Non-Membership (DoN). Fermatean neutrosophic sets in a universe satisfy the conditions where the sum of the cubes of the DoM and DoN is between zero and one and the cube of the DoI is between zero and one. The DoM, DoI and DoN are represented accordingly. We de ne a Spherical Fermatean Neutrosophic Set (SFNS) as a set where each element consists of an element in the universe, along with its DoM, DoN, DoI and a radius. The DoM, DoN, DoI and the radius are functions mapping the universe to the interval from zero to one. We extend this to a topological framework by de ning an SFNTS on a set. We also studied the properties of the SFN closure and SFN interior operators, provided numerical examples and presented a geometric representation of SFNTS. Additionally, we explored the separation of two SFNSs, the intersection of two SFNSs and the overlapping of two SFNSs.

Recommended Citation

Roopadevi, P.; M. Karpagadevi; S. Gomathi; S. Krishnaprakash; and Said Broumi. "Spherical Fermatean Neutrosophic Topology." Neutrosophic Sets and Systems 73, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol73/iss1/40