摘要

In this short communication, we will show that the condition of the theorem does not hold in general cases in a recent paper "The induced continuous ordered weighted geometric operators and their application in group decision making" [Computers & Industrial Engineering 56 (2009) 1545-1552] by Wu et al., and also illustrate an example to show that we cannot construct a consistent interval multiplicative preference relation according to the condition of theorem in general case. Furthermore, we present a more reasonable condition to satisfy Theorem 1 so that we can construct a consistent interval multiplicative preference relation.