A further discussion of “A Semiring-based study of judgment matrices: properties and models” [Information Sciences 181 (2011) 2166–2176]

In the paper “A Semiring-based study of judgment matrices: properties and models” [Information Sciences 181 (2011) 2166–2176], the semiring is applied to the discussion of judgment matrix properties.This paper shows that the suggested semirings could be replaced by a more convenient algebraic structure.