Note on ‘‘The induced continuous ordered weighted geometric operators and their application in group decision making”

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.