On permanents of matrices over a commutative additively idempotent semiring

摘要

Let $R$ be a commutative additively idempotent semiring. In this paper, someproperties and characterizations for permanents of matrices over $R$ areestablished, and several inequalities for permanents are given. Also, theadjiont matrices of matriecs over $R$ are considered. Partial results obtainedin this paper generalize the corresponding ones on fuzzy matrices, on latticematrices and on incline matrices.