In this paper we consider some properties of symmetric and skew-symmetric matrices over the max-plus algebra. These types of matrices have certain features that are valid in the conventional linear algebra but not in the linear algebra over the max-plus semiring, and vice versa. Taking this into account, we describe a new class of matrices over the max-plus algebra-the class of pseudo skew-symmetric matrices. Pseudo skew-symmetric matrices are square matrices with a zero diagonal whose symmetric elements cannot be negative at the same time. The basic properties of this class of matrices are introduced and proved in this study.
Stojčetović et al. (Wed,) studied this question.
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