Abstract: In this paper,interval grey uncertain linguistic,as well as its operation principles and distance formula,is defined.As an extended continuous interval argument OWA(C-OWA)operator,interval grey uncertain linguistic ordered weighted C-OWA(IGULOWC-OWA)operator is presented,and its characteristics are discussed.As for the multi-criteria decision making problems,in which the criteria weights are completely known and the criteria values of alternatives are in the form of interval grey uncertain linguistic,a multi-criteria decision approach based on the IGULOWC-OWA operator is proposed.In the method, the criteria values of alternatives are converted into uncertain linguistics.Then,the collective values of alernatives can be obtained by using the aggregation operator.Finally,an example is given to illustrate the feasibility and validity of the developed method.

Key words: multi-criteria decision making, interval grey uncertain linguistic, IGU LOWC-OWA operator, aggregation