Linguistic set-valued decision making based on LWA operator

In linguistic group decision analysis, we need to solve group decision making with uncertain linguistic information. By analyzing many illustrative example, we notice that not all of linguistic values of the initial linguistic expression domain are used to evaluate decision making problem. From the decision making point of view, linguistic values used by experts have priority over others linguistic values in evaluating results of alternatives. In this paper, we formalize the priority as priority weight vector of linguistic values, and propose a new linguistic weighted aggregation operator (LWA operator) to aggregate linguistic set-valued, in which, two weight vectors (weight vector of experts and priority weight vector of linguistic values) are considered in LWA operator, its properties show that LWA operator is generalization of many existed linguistic aggregation operator. By an illustrative example, we show that LWA operator can help us to gather more information to linguistic set-valued decision making.