Group Decision-Making Method of Pythagorean Fuzzy Set Based on Degree of Balance and Approach and Prospect Theory
For the Pythagorean fuzzy set multi-attribute group decision-making problem where the attribute weights and the expert weights are completely unknown,a multi-attribute decision-making method combining prospect theory and degree of bal-ance and approach is proposed.Considering the advantages of Pythagorean fuzzy set in expressing hesitation degree and the charac-teristics of group decision-making,a new expert weight calculation method is proposed,and the attribute weight is obtained by us-ing the maximizing deviation method.Using positive and negative ideal solutions as decision reference points,the prospect value function under Pythagorean fuzzy environment is calculated based on prospect theory and degree of balance and approach,and final-ly the benefit loss ratio of each solutions is obtained,so as to determine the ranking of alternatives.The effectiveness and rationality of this method are verified by example analysis and method comparison.
Pythagorean fuzzy setdegree of balance and approachprospect theorygroup decision