Gregoria Ariyanti, Ana Easti Rahayu Maya Sari, Christina Manurung
One of the semiring structures is the max-plus algebra, a set with entries [Formula In Abstract] equipped with the operation, which represents the maximum value, and the operation [Formula In Abstract], which means addition. Another semiring structure is the min-plus algebra, a set with entries [Formula In Abstract] equipped with the operation, representing the minimum value, and the operation, which means addition. Matrices over min-plus algebras can have inverses determined by certain conditions. The general inverse type can define the inverse of matrices over min-plus algebras. In this paper, we will develop the characteristics of general inverse matrices over min-plus algebras. The research method used is the literature study method sourced from books and journal articles. The main result of this study is that the generalized [Formula In Abstract] inverse of the matrix [Formula In Abstract] can be obtained by determining the matrix [Formula In Abstract] with entry [Formula In Abstract] which satisfies [Formula In Abstract]. © 2024 by the authors; licensee Learning Gate.
Department of Mathematics Education, Widya Mandala Surabaya Catholic University, Indonesia