Abstract: In the light of the problems in CC-OWA aggregation operators,namely distortion and deviating from mean values occur in the data to have been integrated,which causes the post-integrative data are higher(or lower) than any original data.As a result,the boundedness of the aggregation operator can not be guaranteed.It is caused by the "constant-balance factor" in CC-OWA aggregation operators.To solve the problem,the concept of "varying-balance factor" is proposed,and the characteristics of the C-DWA operator are studied.Based on this operator,the approach to solving decision-making steps is developed,in which the attribute weights are completely known and the attribute values are interval numbers or in the forms of fuzzy linguistic respectively.Finally,some examples are applied to expound the advantages of C-DWA operators and the defects of CC-OWA operators.