Intuitionistic random multi-criteria decision-making approach based on prospect theory with multiplereference intervals

With respect to multi-criteria decision-making (mcdm) problems under both stochastic and intuitionistic fuzzy uncertainties, this paper proposes an intuitionistic random mcdm approach based on prospect theory. the reference point in prospect theory is affected by many factors that result in dificulties for the determination of decision makers (dms). this paper develops an approach to acquire multiple reference points in the form of interval numbers to support a certain alternative to be the most preferred one, thus, helping dm to find a satisfying solution by comparison with her/his own preference. meanwhile, a novel score function of intuitionistic fuzzy (if) number is proposed, based on dm's psychology of loss aversion, and a distance measure of the if set is proposed as well,considering fully its actual meaning. finally, we illustrate the effectiveness and practicality of the proposed method through a numerical example.