Generalized Symmetric Fermatean Neutrosophic Fuzzy Matrices
Keywords:
PNFM, FNFM, NFMAbstract
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.
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