Abstract:
Some properties of Quantale matrices and the deterninants of Quantale matrices are studied, and the concept of the inverse of a Quantale matrix is defined. A series of properties of the inverses of Quantale matrices are discussed, and it is proved that a Quantale matrix is invertible if and only if both each row and each column of the Quantale matrix are all orthogonal, and each row and each column of the Quantale matrix are decompositions of 1.