k-pseudo-similar and k-semi-similar neutrosophic fuzzy matrices

Abstract

This work is motivated by the results presented in the study of $\kappa$-pseudo-similar intuitionistic fuzzy matrices and extends those ideas into the framework of neutrosophic fuzzy matrices. Neutrosophic matrices, characterized by the components of truth, indeterminacy, and falsity, provide a more comprehensive approach for modeling uncertainty compared to intuitionistic fuzzy matrices. In this context, the concept of $\kappa$-regular neutrosophic fuzzy matrices is introduced as a natural generalization of $\kappa$-regular intuitionistic fuzzy matrices.
Further, the notion of $\kappa$-pseudo-similarity is extended to neutrosophic fuzzy matrices, and its structural and algebraic properties are examined in detail. This concept facilitates the comparison and classification of matrices under generalized similarity transformations. Additionally, the idea of $\kappa$-semi-similarity is defined to capture partial similarity relationships, and its properties are discussed.