Stochastic Borda-number method for group decision making with stochastic preference

This paper introduces the concepts of stochastic Borda-number for an alternative and stochastic Borda-number mapping on a set of alternatives for group decision making problem with stochastic preference information. After discussing the various fundamental properties of the stochastic Borda-number mapping and the corresponding stochastic preference axioms, a group sequencing method for all alternatives is constructed.