Neutrosophic Sets and Systems
Abstract
This study explores a new type of matrix called a range-symmetric Fermatean neutrosophic fuzzy matrix (FNFM), inspired by the concept of range-Hermitian matrices. We demonstrate that all FNFMs inherently possess a specific property we term "Pythagorean neutrosophic fuzzy," (PNFM) but the reverse is not always true. Furthermore, we delve into graphical representations of FNFMs with specific symmetry properties (kernel-symmetric (KS), column symmetric, and range-symmetric (RS)) and show that these properties hold for all isomorphic graphs. The study goes on to establish equivalent characterizations for range-symmetric FNFMs and identify conditions for KS FNFMs. We introduce a novel concept: k-KS and RS FNFMs. Examples illustrate that KS FNFMs inherently possess k-KS, but not necessarily the other way around. This research contributes to a deeper understanding of symmetric FNFM and their potential applications, highlighting their importance in mathematical and computational fields.
Recommended Citation
Anandhkumar, M.; A. Bobin; S. M. Chithra; and V. Kamalakannan. "Generalized Symmetric Fermatean Neutrosophic Fuzzy Matrices." Neutrosophic Sets and Systems 70, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol70/iss1/7
