A novel risk attitudinal ranking method for intuitionistic fuzzy values and application to MADM.

•The amount of information of an IFS is characterized by the closeness degree.•The area of triangle is calculated to measure reliability of information of an IFS.•It is proved that the closeness degree and triangle area just form an interval.•A novel risk attitudinal measure is developed to rank IFS by C-OWA operator.•Attributes weights are derived by constructing multi-objective fractional programming model.