ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC NEUTROSOPHIC FUZZY MATRICES

We define secondary k-Kernel symmetric (KS) and provide numerical examples for neutrosophic fuzzy matrices (NFM). We discuss the relation between s-k- KS, s-KS, k- KS and KS NFM. We identify the necessary and sufficient conditions for a NFM to be a s-k- KS NFM. We demonstrate that k-symmetry implies...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics Vol. 15; no. 8; p. 2057
Main Authors: Murugadas, P, Shyamaladevi, T, Anandhkumar, M
Format: Journal Article
Language:English
Published: Turkic World Mathematical Society 01.08.2025
Subjects:
Fuzzy algorithms
Fuzzy logic
Fuzzy systems
Kernel functions
Matrices
India
ISSN:2146-1147
Online Access:Get full text
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Summary:We define secondary k-Kernel symmetric (KS) and provide numerical examples for neutrosophic fuzzy matrices (NFM). We discuss the relation between s-k- KS, s-KS, k- KS and KS NFM. We identify the necessary and sufficient conditions for a NFM to be a s-k- KS NFM. We demonstrate that k-symmetry implies k-KS and the converse is true. Also, we illustrate a graphical representation of KS adjacency and incidence NFM. Every adjacency NFM is symmetric, kernel symmetric but incidence matrix satisfies only kernel symmetric conditions. We establish the existence of multiple generalized inverses of NFM in [F.sub.n] and establish the additional equivalent conditions for certain g-inverses of a s-k-KS NFM to be s-k-KS. Also, we characterize the generalized inverses belonging to the sets [psi] (1, 2), [psi] (1, 2, 3) and [psi] (1, 2, 4) of s-k- KS NFM [psi]. Keywords: Neutrosophic fuzzy matrices, s- Kernel symmetric, Adjacency Neutrosophic fuzzy matrices, Incidence Neutrosophic fuzzy matrices, Moore Penrose inverse. AMS Subject Classification: 03E72, 15B15, 15B99.
ISSN:2146-1147