Prospect theory based method for heterogeneous group decision making with hybrid truth degrees of alternative comparisons

•Overall prospect value of alternative is defined considering PIS and NIS.•A multi-objective fuzzy programming model is built to determine DMs’ weights.•The group consistency index (GCI) and group inconsistency index (GICI) are defined.•Construct a bi-objective hybrid fuzzy program to derive PIS, NIS and criteria weights.•A prospect theory based method for heterogeneous MCGDM with hybrid truth degrees.