On Linear Operators Preserving Orthogonality of Matrices over Fuzzy Semirings

Abstract

In this paper, we investigate the linear operators preserving orthogonality of\nmatrices over fuzzy semirings. We firstly characterize invertible linear operators preserving orthogonality of fuzzy matrices. And then, based on the obtained results, we study the invertible linear operators preserving orthogonality of matrices over the direct product of fuzzy semirings, and give some complete characterizations.