Possibilistic aggregation in the discrete covering problems based on the expert valuations

In this paper a new criterion is introduced for the discrete covering problem. Using the representation of a possibility measure through associated probabilities, a new criterion for discrete covering problem is constructed based on aggregation by the Monotone Expectation (ME) (or Choquet integral). In this criterion the a priori information represented by a possibility measure and a misbelief distribution on alternatives are condensed by aggregation instrument. A bicriterial problem is obtained using a new criterion and the criterion of average price minimization. The example on the application of a new criterion is presented, where the possibility distribution on the optimal choice of the alternatives (candidates) is represented by expert valuations.